4 Basic Electrical Engineering
4 Basic Electrical Engineering
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A. Junction or node
B. Closed loop
C. Open circuit
D. Voltage source only
Explanation:
Kirchhoff’s Current Law states that the algebraic sum of currents entering a node (junction)
equals zero.
Q2. In Node Voltage Analysis, the node voltages are measured with respect to:
A. Ground node
B. Reference voltage source
C. Any random node
D. Battery positive terminal
Explanation:
In Node Voltage Method, all node voltages are calculated with respect to a reference (ground)
node having zero potential.
Explanation:
Kirchhoff’s laws universally apply to both linear and nonlinear, AC and DC electrical circuits.
Q4. If there are 'n' nodes in a circuit, Node Voltage Method requires how many equations?
A. n equations
B. (n – 1) equations
C. (n + 1) equations
D. 2n equations
Answer: B. (n – 1) equations
Explanation:
The reference node voltage is zero, hence (n – 1) node equations are required for a circuit with 'n'
nodes.
Explanation:
Mesh analysis simplifies solving circuits having fewer nodes but multiple loops.
A. Energy
B. Momentum
C. Electric charge
D. Power
Explanation:
KCL is fundamentally based on the conservation of electric charge at junction points.
Explanation:
Loop currents must be chosen consistently (either all clockwise or all anticlockwise).
Q8. If 3 currents (2A, 3A, and 4A) enter a node, the current leaving that node is:
A. 2A
B. 3A
C. 4A
D. 9A
Answer: D. 9A
Explanation:
By KCL, sum of currents entering = sum of currents leaving. (2 + 3 + 4 = 9A)
Q9. In Node Voltage Method, voltage across a resistor connected between two nodes is
expressed as:
Explanation:
Voltage across resistor = (Voltage at node A) – (Voltage at node B).
A. ΣI = 0
B. ΣR = 0
C. ΣV = 0
D. ΣP = 0
Answer: C. ΣV = 0
Explanation:
KVL states the algebraic sum of all voltages in any closed loop is zero.
Q11. For a circuit having B branches and N nodes, independent loop equations will be:
A. B – N + 1
B. B + N – 1
C. N – B + 1
D. N – 1
Answer: A. B – N + 1
Explanation:
The number of independent loops (mesh equations) is (Branches – Nodes + 1).
Q12. Ideal voltage sources connected between two non-reference nodes form a:
A. Supermesh
B. Supernode
C. Virtual node
D. Reference node
Answer: B. Supernode
Explanation:
Voltage sources directly between non-reference nodes form a supernode in nodal analysis.
A. Supernode
B. Supermesh
C. Reference mesh
D. Independent mesh
Answer: B. Supermesh
Explanation:
Current sources shared between meshes form a supermesh, simplifying mesh analysis.
A. ΣVoltage drops = 0
B. ΣCurrents entering = ΣCurrents leaving
C. ΣPowers = 0
D. ΣEnergy consumed = 0
Explanation:
Algebraic sum of currents entering node equals algebraic sum leaving that node.
A. Ohm
B. Faraday
C. Kirchhoff
D. Ampere
Answer: C. Kirchhoff
Explanation:
These fundamental circuit laws were formulated by Gustav Robert Kirchhoff.
A. Open circuit
B. Short circuit
C. Voltage drop or rise
D. Infinite impedance
Explanation:
Voltage sources in mesh loops are accounted as rises or drops based on polarity.
Q17. A node in an electrical circuit means:
Explanation:
A node is a point of connection of multiple circuit elements.
Explanation:
KCL dictates no net accumulation of current at a node.
A. Open path
B. Single element
C. Loop not enclosing any other loop
D. Short circuit path
Explanation:
Mesh is defined as a simplest loop without containing any other loop.
A. Infinity
B. Negative value
C. Zero
D. Highest circuit voltage
Answer: C. Zero
Explanation:
Reference (ground) node voltage is always taken as zero volts.
Q21. Node voltage method simplifies analysis if the circuit has more:
Explanation:
Node voltage method is efficient for circuits with more nodes.
Explanation:
Mesh method suits circuits with fewer nodes and more loops.
Q23. The algebraic sum of voltages around a closed loop is zero as per:
A. Ohm’s law
B. Kirchhoff’s Current Law
C. Kirchhoff’s Voltage Law
D. Joule’s law
Q24. If two loops share a common resistor, voltage across resistor is:
Explanation:
Shared resistor voltage has opposite polarity in mesh equations.
A. Positive
B. Negative
C. Zero
D. Infinite
Answer: B. Negative
Explanation:
Conventionally inward currents are negative; outward currents positive.
A. A loop
B. A node
C. A supermesh
D. A short circuit
Answer: C. A supermesh
Explanation:
A supermesh is formed when a voltage source lies between two mesh loops. The source is
removed for mesh equations, but its voltage constraint is used separately.
Q27. In nodal analysis, the method is simplified when:
Explanation:
Nodal analysis becomes easier when the circuit contains more current sources, since KCL
directly relates to them.
Explanation:
Mesh analysis can only be applied to planar networks where no branches cross each other.
Explanation:
When a voltage source connects two non-reference nodes, the two nodes are combined into a
supernode for writing KCL.
Q30. The KVL equation for a loop containing a 12V source and two resistors (2Ω and 4Ω)
with current I is:
A. 12 = 6I
B. 12 = 2I
C. 12 = 4I
D. 12 = 8I
Answer: A. 12 = 6I
Explanation:
Apply KVL: 12V = IR₁ + IR₂ = I(2+4) = 6I → 12 = 6I.
Q31. If a loop contains only one resistor of 5Ω and a 10V source, the current is:
A. 1 A
B. 2 A
C. 0.5 A
D. 5 A
Answer: B. 2 A
Explanation:
By Ohm’s law, I = V/R = 10/5 = 2 A.
Explanation:
KVL is loop-based (voltage law), KCL is node-based (current law).
Q33. The sign convention in KVL when traversing from – to + across an element is:
A. Negative
B. Zero
C. Positive
D. Undefined
Answer: C. Positive
Explanation:
Voltage rise is taken as positive, and drop as negative when applying KVL.
Q34. The total number of equations required to solve a resistive network using mesh
analysis is equal to:
A. Number of branches
B. Number of elements
C. Number of loops
D. Number of nodes
Explanation:
One equation per independent loop is written in mesh analysis.
Q35. In a circuit with 5 branches and 3 nodes, the number of loops is:
A. 2
B. 3
C. 5
D. 1
Answer: A. 2
Explanation:
Number of loops = Branches – Nodes + 1 = 5 – 3 + 1 = 3 loops. But only 2 independent loops
exist.
Explanation:
KVL applies to all closed loops in steady-state electrical circuits.
Q37. In a two-mesh network, one current source lies between the meshes. What method
simplifies analysis?
A. Supernode method
B. Nodal analysis
C. Supermesh method
D. KVL at each node
Explanation:
Supermesh simplifies equations when a current source is shared between two meshes.
Q38. Which technique involves applying Ohm’s Law along with KCL?
Explanation:
Nodal analysis uses KCL at nodes and applies Ohm’s Law to relate voltages and currents.
A. Mesh analysis
B. KVL only
C. Node voltage method
D. Superposition theorem
Answer: C. Node voltage method
Explanation:
If no voltage source exists, currents can be easily calculated using node voltage method.
Explanation:
Voltage polarity across resistor is determined by the direction of assumed current.
Q41. A 10Ω resistor has 2A current flowing from left to right. Voltage across resistor is:
A. –20V
B. 5V
C. +20V
D. –5V
Answer: C. +20V
Explanation:
V = IR = 2 × 10 = 20V. Since current flows left to right, left is more positive.
Explanation:
KCL can be applied to supernodes. Hence, option D is incorrect.
Q43. Mesh analysis assumes:
Explanation:
Mesh analysis assumes fictitious loop currents around each mesh.
Q44. What is the total number of independent KCL equations possible in a circuit with 4
nodes?
A. 2
B. 3
C. 4
D. 5
Answer: B. 3
Explanation:
With N = 4 nodes, only N – 1 = 3 independent KCL equations are possible.
Explanation:
An independent mesh does not enclose or contain any other mesh within it.
Q46. A 10V battery connected across a resistor draws 5A. The resistance is:
A. 1Ω
B. 2Ω
C. 0.5Ω
D. 10Ω
Answer: B. 2Ω
Explanation:
R = V/I = 10V / 5A = 2Ω.
Q47. The loop current through a 4Ω resistor is 1.5A. The voltage across it is:
A. 6V
B. 4V
C. 3V
D. 1V
Answer: A. 6V
Explanation:
V = IR = 1.5 × 4 = 6V.
A. Using supernodes
B. Eliminating resistors
C. Replacing current sources with voltage sources
D. Using KVL instead of KCL
Explanation:
Supernodes help reduce the number of required nodal equations.
A. Positive in KVL
B. Negative in KVL
C. Ignored in KVL
D. Zero in KVL
Answer: B. Negative in KVL
Explanation:
In KVL, voltage rise is generally considered negative, and drop is considered positive.
A. Total current
B. Zero
C. Applied voltage
D. Loop resistance
Explanation:
In any loop, the sum of voltage drops equals the total voltage applied across the loop.
Q51. A 20V battery is connected in a loop with resistors 2Ω and 3Ω in series. What is the
loop current?
A. 2 A
B. 4 A
C. 5 A
D. 10 A
Answer: A. 4 A
Explanation:
Total resistance = 2Ω + 3Ω = 5Ω
Current I = V / R = 20 / 5 = 4 A
Q52. When applying mesh analysis, if two loops share a resistor, its voltage is included in:
A. Only the first mesh
B. Only the second mesh
C. Both meshes with opposite sign
D. Not included at all
Explanation:
This requires use of supernode in nodal analysis.
Explanation:
The reference node is considered to be at zero potential, often called ground node.
Answer: C. KVL
Explanation:
Mesh analysis is based on Kirchhoff’s Voltage Law (sum of voltages in a loop is zero).
Q56. If current enters the positive terminal of a resistor, then:
A. The resistor is active
B. The resistor is generating energy
C. There is a voltage drop
D. There is a voltage rise
Explanation:
By passive sign convention, when current enters positive terminal, voltage drops across the
element.
Q57. Which method is best suited for solving large resistor-only networks with many
nodes?
A. Mesh current method
B. Nodal voltage method
C. Thevenin’s theorem
D. Superposition theorem
Explanation:
Nodal analysis is more efficient in large resistor-only networks with multiple nodes.
Q58. How many equations are needed for 3 loops in mesh current method?
A. 1
B. 2
C. 3
D. 4
Answer: C. 3
Explanation:
Each independent loop requires one equation → 3 loops = 3 mesh equations.
Explanation:
In mesh analysis, a current source between two loops forms a supermesh.
Explanation:
A supernode allows us to apply KCL and include voltage source constraints efficiently.
Explanation:
KCL is based on the conservation of charge: no current is lost or created at a node.
Explanation:
KVL assumes no time-varying magnetic fields. Such fields induce EMF violating KVL directly.
Q63. Ohm's law is used in both KVL and KCL methods to:
A. Convert voltage to current or vice versa
B. Eliminate voltage sources
C. Avoid loop formation
D. Reduce circuit elements
Explanation:
Ohm’s law (V = IR) is used to express voltage or current in terms of each other during circuit
analysis.
Q64. In a 3-node circuit, how many node voltage equations are needed?
A. 1
B. 2
C. 3
D. 4
Answer: B. 2
Explanation:
Always (N – 1) node voltage equations are written, with 1 node taken as reference.
Explanation:
Any direction can be assumed for loop currents, but consistency must be maintained.
Explanation:
V = IR is applied to express voltages in terms of mesh currents.
Answer: B. Volt
Explanation:
Node voltage refers to electrical potential difference, measured in volts.
Explanation:
Dependent sources require writing additional constraint equations linking controlling variables.
Q69. In a loop with resistors of 2Ω, 3Ω, and a 10V battery, what is total resistance?
A. 5Ω
B. 10Ω
C. 6Ω
D. 4Ω
Answer: A. 5Ω
Explanation:
Total resistance = 2Ω + 3Ω = 5Ω.
Q70. Which law is used for nodal analysis?
A. Kirchhoff’s Voltage Law
B. Joule’s Law
C. Kirchhoff’s Current Law
D. Coulomb’s Law
Explanation:
KCL is used to write current equations at each node in nodal analysis.
Explanation:
Mesh analysis simplifies circuits that primarily contain loops and voltage sources.
Q72. In a mesh loop with 5V, 2Ω and 3Ω resistors, the current is:
A. 1A
B. 0.5A
C. 2A
D. 5A
Answer: A. 1A
Explanation:
Total R = 5Ω, I = V/R = 5/5 = 1A.
Q73. The voltage across a resistor with current I and resistance R is given by:
A. V = I + R
B. V = I × R
C. V = I/R
D. V = R/I
Answer: B. V = I × R
Explanation:
This is Ohm’s Law: V = IR.
Explanation:
A changing magnetic field induces EMF, violating the assumptions of KVL.
Answer: C. Linear
Explanation:
If circuit elements are linear (e.g., resistors), the nodal equations will be linear as well.
Q76. In nodal analysis, if two nodes are connected through an ideal voltage source, it
creates:
A. A voltage drop
B. A short circuit
C. A supernode
D. A supermesh
Answer: C. A supernode
Explanation:
A supernode is formed when a voltage source connects two non-reference nodes, allowing
application of KCL at both nodes combined.
Q77. A 12V source and a resistor of 3Ω are in series in a loop. What is the loop current?
A. 2 A
B. 3 A
C. 4 A
D. Cannot be determined
Answer: C. 4 A
Explanation:
I = V/R = 12V / 3Ω = 4 A
Explanation:
When a current source is between two loops, we create a supermesh to avoid unknown voltage
across the source.
Q79. In mesh analysis, the voltage source is encountered from positive to negative. Its
voltage is taken as:
A. Positive
B. Negative
C. Zero
D. Infinity
Answer: A. Positive
Explanation:
Traversing from + to – terminal is a voltage drop, so in KVL, it's taken as positive.
Explanation:
Nodal analysis applies Kirchhoff’s Current Law at each node using Ohm's Law to relate
voltage and current.
Answer: B. Ampere
Explanation:
KCL deals with current flow at a node, and current is measured in amperes.
Q82. What happens when the polarity of a voltage source is reversed in mesh analysis?
A. The current doubles
B. Current direction reverses
C. Source voltage changes sign in the equation
D. The analysis fails
Explanation:
Only the sign of the voltage in KVL equations changes; current may or may not reverse
depending on circuit configuration.
Q83. Which circuit law is universally valid for both AC and DC circuits?
A. KCL only
B. KVL only
C. Both KCL and KVL
D. None
Explanation:
Both Kirchhoff’s laws apply to AC and DC circuits, as they are based on fundamental
conservation principles.
Q84. Nodal analysis is best used in circuits that are rich in:
A. Inductors
B. Loops
C. Voltage sources
D. Current sources
Explanation:
Nodal analysis is more straightforward when circuits contain multiple current sources.
Explanation:
The reference (ground) node must be selected to define all other node voltages.
Explanation:
Planar circuits are ideal for mesh current method since loops are easily traceable.
Q87. When using mesh analysis, shared elements between meshes are considered:
A. Once only
B. With positive sign in both meshes
C. With opposite signs in each mesh
D. With same sign in each mesh
Answer: C. With opposite signs in each mesh
Explanation:
Shared elements are included in both meshes with opposite signs due to opposite assumed
current directions.
Answer: B. 4Ω
Explanation:
R = V/I = 8V / 2A = 4Ω
Explanation:
KVL assumes net algebraic sum of voltages around any loop equals zero.
Q90. In a loop of 3 resistors (2Ω, 4Ω, 6Ω) and a 24V battery, the loop current is:
A. 4 A
B. 2 A
C. 1 A
D. 3 A
Answer: A. 4 A
Explanation:
Total R = 2+4+6 = 12Ω, I = V/R = 24/6 = 4 A
Q91. In KVL, if you assume incorrect current direction:
A. You will get wrong answers
B. Voltage calculation fails
C. The result will be negative
D. The final current will adjust its sign
Explanation:
Direction of current assumed initially doesn't affect the result—negative sign indicates opposite
actual direction.
Q92. What is the algebraic sum of currents at a node with 5A entering and 2A leaving?
A. 3A
B. 7A
C. –3A
D. 0A
Answer: A. 3A entering
Explanation:
Total entering = 5A; total leaving = 2A → Net entering current = 3A
Explanation:
KVL equations are used to calculate unknown currents in loops.
Q94. If three resistors of 2Ω, 4Ω, 6Ω are in series, what is their equivalent resistance?
A. 2Ω
B. 6Ω
C. 12Ω
D. 4Ω
Answer: C. 12Ω
Explanation:
For series resistors: R_eq = R1 + R2 + R3 = 2 + 4 + 6 = 12Ω
Q95. The current source between two meshes imposes a condition of:
A. Equal mesh currents
B. Known difference in mesh currents
C. Same node voltage
D. Equal loop voltage
Explanation:
The current source sets the value of current difference between two mesh currents.
Explanation:
If actual direction is opposite to assumed, final current value is negative.
Q97. What is the reference point for all voltages in nodal analysis?
A. Battery positive
B. Any voltage source
C. Ground node
D. Resistor terminal
Explanation:
All voltages are measured with respect to the ground node (0V potential).
Q98. Voltage drop across a resistor depends on:
A. Node number
B. Resistor length
C. Current through it
D. Mesh loop count
Explanation:
Voltage drop = IR → depends on current through the resistor and its resistance.
Q99. In a node where 4A enters and 6A leaves, the missing current is:
A. 10A enters
B. 2A enters
C. 2A leaves
D. 6A enters
Answer: B. 2A enters
Explanation:
To balance current, net entering = net leaving → 4A + x = 6A → x = 2A entering
Q100. Which of the following methods gives the fastest solution for circuits with few loops?
A. Nodal voltage method
B. Superposition theorem
C. Mesh current method
D. Thevenin’s theorem
Explanation:
Mesh current method is preferred for circuits with fewer loops and is computationally efficient.
Explanation:
Δ–Y conversion simplifies analysis by transforming a triangular network (Δ) into a star (Y)
which is easier to handle in nodal or mesh analysis.
Q102. In a Delta network, each branch has resistance 6Ω. What is the equivalent Star
resistance?
A. 2Ω
B. 3Ω
C. 4Ω
D. 1.5Ω
Answer: A. 2Ω
Explanation:
In Δ-Y conversion:
Star resistance = (Product of adjacent delta resistors) / (Sum of all delta resistors)
R = (6×6)/(6+6+6) = 36/18 = 2Ω
Explanation:
Star-Delta conversion helps when a network is formed of three resistors connected between three
nodes (3-terminal networks).
Answer: B. Product of two star resistors divided by the opposite star resistor
Explanation:
R_ab (Δ) = (R_A × R_B + R_B × R_C + R_C × R_A) / R_C
Equivalent formula is derived using this approach.
Q105. For symmetrical Star with resistance R, the equivalent Delta resistance is:
A. R
B. R/2
C. 2R
D. 3R
Answer: C. 3R
Explanation:
Each Δ resistance = Sum of product of star resistors / opposite resistor
In symmetrical case, R_Δ = 3 × R
Explanation:
Delta-Star or Star-Delta is a tool used to simplify resistor networks, especially for bridge-type
circuits.
Explanation:
Superposition theorem holds good for linear and bilateral networks only.
Q108. In superposition theorem, all sources are considered:
A. Simultaneously
B. One at a time
C. In the reverse direction
D. In parallel
Explanation:
The theorem evaluates the effect of each independent source separately, then adds the responses
algebraically.
Q109. While applying superposition principle, voltage sources are replaced by:
A. Open circuit
B. Short circuit
C. Voltage source of reverse polarity
D. Capacitor
Explanation:
An ideal voltage source is replaced by a short while evaluating the effect of other sources.
Explanation:
Ideal current sources are opened (infinite impedance) when turned off for superposition.
Explanation:
Superposition helps determine current or voltage in any element of a linear circuit with multiple
sources.
Answer: C. Power
Explanation:
Superposition does not apply to power because power is a nonlinear function (P = I²R or V²/R).
Q113. In a delta network with resistors R1 = 3Ω, R2 = 3Ω, R3 = 3Ω, the equivalent star
resistor is:
A. 1Ω
B. 2Ω
C. 3Ω
D. 9Ω
Answer: B. 2Ω
Explanation:
R_star = (R1 × R2) / (R1 + R2 + R3) = (3×3)/(3+3+3) = 9/9 = 1Ω (for each resistor)
Explanation:
Superposition is valid only in linear networks; not applicable if the circuit contains diodes,
transistors, etc.
Q115. What is the purpose of converting delta to star in resistor networks?
A. To increase resistance
B. To eliminate capacitors
C. To simplify series-parallel reduction
D. To decrease number of sources
Explanation:
Converting Δ to Y often helps reduce the circuit into a form solvable by basic series-parallel
techniques.
Explanation:
These conversions are valid for any 3-terminal resistive network, balanced or unbalanced.
Q117. What is the resistance between any two terminals of a symmetrical Delta having 6Ω
each?
A. 2Ω
B. 3Ω
C. 4Ω
D. 6Ω
Answer: C. 4Ω
Explanation:
Resistance between two terminals = two Δ resistors in series (6Ω + 6Ω) || third (6Ω)
Equivalent = (12×6)/(12+6) = 72/18 = 4Ω
Explanation:
Superposition states that total response = algebraic sum of individual responses due to each
source acting alone.
Explanation:
Presence of nonlinear elements like diodes invalidates superposition.
Q120. Star to Delta conversion helps in solving circuits where resistors are connected:
A. Between single node and ground
B. Between three nodes forming a triangle
C. Only in series
D. In parallel only
Explanation:
In such cases, Δ to Y or Y to Δ conversion allows easier simplification.
Answer: C. Kept as is
Explanation:
Dependent sources are not turned off since their values depend on other circuit variables.
Answer: C. 9Ω
Explanation:
R_Δ = 3 × R_Y = 3 × 3 = 9Ω
Explanation:
It helps find voltage or current due to multiple sources by considering each source individually.
Q125. In Δ–Y conversion, how many resistors are present in both configurations?
A. 2
B. 3
C. 4
D. 6
Answer: B. 3
Explanation:
Both Δ and Y configurations contain three resistors connected between three terminals.
Q126. In Delta to Star conversion, the resistance connected to a node is calculated as:
A. Product of two adjacent delta resistances divided by the sum of all three delta resistances
B. Sum of all resistances in delta
C. Average of all delta resistances
D. Product of all three delta resistances
Answer: A. Product of two adjacent delta resistances divided by the sum of all three delta
resistances
Explanation:
Star resistor connected to a node = (Adjacent delta resistor 1 * Adjacent delta resistor 2) / (Sum
of all three delta resistors)
Q127. In superposition theorem, to consider the effect of one independent source, all other
voltage sources are:
A. Replaced by open circuits
B. Replaced by capacitors
C. Replaced by short circuits
D. Left unchanged
Explanation:
An ideal voltage source has zero internal resistance. When deactivated, it is replaced by a short
circuit.
Explanation:
An ideal current source has infinite internal resistance. When deactivated, it is replaced by an
open circuit.
Explanation:
Superposition can only be applied to circuits that are linear (obey Ohm's law) and bilateral
(properties do not change with direction of current).
Answer: B. Three
Explanation:
Both delta and star resistor networks contain three resistors connected between three nodes.
Q131. In which of the following cases is Delta to Star conversion most useful?
A. When three resistors are connected in series
B. When the circuit contains only voltage sources
C. When the resistors form a closed triangle
D. When there are only two terminals in the circuit
Q132. The main limitation of superposition theorem is that it cannot be used to calculate:
A. Current
B. Voltage
C. Resistance
D. Power
Answer: D. Power
Explanation:
Since power is proportional to square of current or voltage, it is not linear. Thus, superposition
does not apply to power calculation.
Explanation:
Dependent sources are not turned off during superposition because they depend on variables in
the circuit.
Q134. What is the purpose of converting a delta network to a star network in circuit
analysis?
A. To reduce voltage
B. To reduce resistance
C. To simplify complex resistor networks
D. To eliminate capacitors
Explanation:
Delta to star conversion simplifies resistor networks that otherwise cannot be reduced by simple
series-parallel combinations.
Q135. In superposition theorem, the total response in a linear network is the:
A. Maximum of individual responses
B. Average of all source responses
C. Algebraic sum of individual responses
D. Product of all responses
Explanation:
The superposition theorem states that total response is the algebraic sum of individual responses
due to each independent source acting alone.
Explanation:
Sometimes, converting a star into a delta allows a network to be reduced using parallel or series
combinations.
Q137. Which parameter must remain the same when performing delta to star or star to
delta conversion?
A. Voltage
B. Power
C. Resistance between each pair of terminals
D. Resistance of each branch
Explanation:
The converted network must offer the same resistance between each pair of terminals to maintain
equivalence.
Q138. When applying superposition theorem, what happens to internal resistances of
sources?
A. They are shorted
B. They are ignored
C. They remain in the circuit
D. They are replaced by capacitors
Explanation:
Internal resistances of sources must remain in the circuit to preserve correct behavior during
analysis.
Q139. The basic requirement to apply superposition theorem is that the circuit must be:
A. Nonlinear and balanced
B. Linear and bilateral
C. Unbalanced with inductors
D. Open circuit only
Explanation:
Linearity and bilateral behavior (same response in both directions) are essential for superposition
to be valid.
Q140. Delta to Star and Star to Delta conversions are used to simplify:
A. Bridge networks
B. Open circuits
C. Short circuits
D. Battery circuits
Explanation:
Complex bridge-type resistor networks often require Δ-Y or Y-Δ transformation to simplify
analysis.
Q141. In a star network, each resistor is 2 ohms. What is the resistance between any two
terminals?
A. 1 ohm
B. 2 ohm
C. 3 ohm
D. 4 ohm
Answer: C. 3 ohm
Explanation:
Between any two terminals in a star: R_eq = R1 + R2 = 2 + 1 = 3 ohms (since each branch = 2
ohms)
Q142. When one resistor in delta network is zero, the corresponding star resistor becomes:
A. Zero
B. Infinity
C. Equal to other resistors
D. Negative
Answer: A. Zero
Explanation:
In delta to star conversion, if one delta resistor is zero, the product of adjacent resistors becomes
zero, making the corresponding star resistor also zero.
Explanation:
Superposition is not applicable in nonlinear circuits.
Explanation:
Each source is considered one at a time. So, three responses must be calculated and added.
Explanation:
Superposition is especially useful in circuits with multiple independent sources acting
simultaneously.
Explanation:
The delta configuration is replaced with an equivalent star configuration that maintains same
external resistance.
Explanation:
Superposition can be used to calculate both voltages and currents but not power.
Q148. Star to delta conversion is valid only for:
A. Three-phase circuits
B. Any three-terminal resistive network
C. Circuits with current sources
D. Circuits with inductors only
Explanation:
Star-delta transformations can be done for any 3-terminal resistive network, not just three-phase
systems.
Explanation:
Diodes are nonlinear elements, so superposition cannot be applied.
Explanation:
The correctness of results can be verified by using Kirchhoff’s laws.
Explanation:
Superposition theorem is valid only for linear circuits, where responses are directly proportional
to inputs.
Q152. In delta-star conversion, if all delta resistances are equal to R, what will be each star
resistance?
A. R
B. R/3
C. 3R
D. R/2
Answer: B. R/3
Explanation:
In symmetric delta to star:
R_star = (R * R) / (3R) = R/3
Q153. Which of the following methods is best suited for simplifying a resistive bridge
network?
A. Nodal analysis
B. Mesh analysis
C. Superposition theorem
D. Delta-Star conversion
Explanation:
Bridge networks often require Δ-Y or Y-Δ conversions to simplify and reduce into series-parallel
combinations.
Explanation:
Each independent source is considered one at a time, while others are deactivated (voltage
sources shorted, current sources opened).
Explanation:
Star to delta conversion helps analyze and simplify 3-terminal resistor networks.
Q156. Which one of the following is NOT altered during superposition analysis?
A. Internal resistances
B. Linear elements
C. Network topology
D. Independent sources
Explanation:
Only the sources are activated one at a time; the network structure remains unchanged.
Q157. Delta to star conversion is applicable only when the resistors form:
A. A T-network
B. A pi-network
C. A triangle between three nodes
D. A single loop
Q158. In a star network, the resistance between any two terminals is equal to:
A. Sum of the two star resistors connected to those terminals
B. Product of two star resistors
C. One-third of total resistance
D. Difference between the resistors
Explanation:
The path between two terminals in a star passes through two star resistors.
Explanation:
Nonlinear elements violate the proportionality needed for superposition to hold.
Q160. In delta-star conversion, the new star resistor connected to a node is determined
using:
A. Sum of all delta resistors
B. Average of two opposite resistors
C. Product of adjacent delta resistors divided by sum of all delta resistors
D. Difference between largest and smallest delta resistor
Answer: C. Product of adjacent delta resistors divided by sum of all delta resistors
Explanation:
This is the standard formula used to convert delta into equivalent star resistance.
Q161. Superposition theorem can be applied to determine:
A. Voltage across nonlinear devices
B. Current through a resistor in a linear circuit
C. Total power in a circuit
D. Resistance between nodes
Explanation:
Superposition helps calculate current or voltage in individual elements, not power or resistance
directly.
Explanation:
Ideal current sources are opened (infinite resistance) when turned off.
Q163. What is the resistance between any two terminals of a symmetric star network with
each branch of 5 ohms?
A. 5 ohms
B. 10 ohms
C. 7.5 ohms
D. 2.5 ohms
Answer: A. 5 ohms
Explanation:
Between any two terminals = 5 + 5 = 10 ohms in parallel with open third terminal → simplifies
to 5 ohms.
Q164. In delta-star conversion, when all delta resistors are different, the star network will
be:
A. Balanced
B. Unbalanced
C. Zero
D. Undefined
Answer: B. Unbalanced
Explanation:
If delta resistors are unequal, then corresponding star resistors will also be unequal.
Q165. Which theorem allows solving mixed AC-DC linear circuits step-by-step using
individual source analysis?
A. Thevenin’s theorem
B. Norton’s theorem
C. Superposition theorem
D. Maximum power transfer theorem
Explanation:
Superposition is ideal for linear circuits with multiple independent AC and DC sources.
Explanation:
Responses from each independent source are added algebraically to get total response.
Q167. When applying superposition, what happens to the response due to a shorted voltage
source?
A. It becomes zero
B. It becomes infinite
C. It becomes one
D. It depends on current source
Q168. In a delta to star conversion, what happens if all delta resistors are doubled?
A. Star resistors remain same
B. Star resistors become half
C. Star resistors double
D. Star resistors increase four times
Explanation:
Each star resistor is directly proportional to delta resistors, so doubling delta resistors doubles
star resistors.
Explanation:
These conversions are defined only for 3-terminal configurations.
Q170. In a delta network with 10 ohm each resistor, what is the equivalent star resistor
value?
A. 10 ohm
B. 5 ohm
C. 3.33 ohm
D. 6.66 ohm
Explanation:
R_star = (10 * 10) / (10 + 10 + 10) = 100 / 30 = 3.33 ohm
Q171. Which principle is used in the derivation of superposition theorem?
A. Reciprocity
B. Linearity
C. Time-invariance
D. Conservation of energy
Answer: B. Linearity
Explanation:
Superposition is based on the principle of linearity — that response is proportional to input.
Explanation:
Converting a network helps reduce it into series-parallel combinations for easier analysis.
Q173. Which of the following elements does not affect the validity of superposition
theorem?
A. Diode
B. Transistor
C. Linear resistor
D. Zener diode
Explanation:
Superposition is valid only when all elements are linear, like resistors.
Q174. In superposition theorem, if there are n independent sources, how many circuit
evaluations are required?
A. n
B. n squared
C. n factorial
D. One
Answer: A. n
Explanation:
Each source is evaluated once while others are turned off. So, n evaluations for n sources.
Q175. When one of the resistors in a star network is zero, what will happen in the
equivalent delta network?
A. One delta resistor becomes zero
B. All delta resistors become infinite
C. One delta resistor becomes infinite
D. Delta conversion fails
Explanation:
If a star resistor is zero, then the corresponding delta resistor (which involves division by zero)
becomes infinite.
Explanation:
A supernode is used in nodal analysis when a voltage source connects two non-reference nodes.
Q177. In delta to star conversion, if the three delta resistors are 2 ohm, 4 ohm, and 6 ohm,
what is the star resistor connected to the node opposite the 4 ohm resistor?
A. 2 ohm
B. 3 ohm
C. 1.6 ohm
D. 1.33 ohm
Q178. When simplifying a resistive bridge network, which technique often provides the
quickest solution?
A. Superposition
B. Delta to star conversion
C. Norton’s theorem
D. Source transformation
Explanation:
Delta-star conversion is most effective when a bridge circuit resists standard series-parallel
reduction.
Q179. In superposition theorem, the response of the network is the sum of responses due
to:
A. Dependent sources only
B. Each independent source acting alone
C. All sources acting together
D. Voltage sources only
Explanation:
Superposition considers one independent source at a time, summing all responses
algebraically.
Q180. What is the resistance between two terminals of a star network if each resistor is 4
ohms?
A. 4 ohms
B. 6 ohms
C. 8 ohms
D. 2 ohms
Answer: B. 6 ohms
Explanation:
Between any two terminals = sum of two star resistors = 4 + 2 = 6 ohms (when all are 4 ohms)
Q181. Superposition theorem is applicable to circuits with which of the following types of
sources?
A. Independent sources only
B. Dependent sources only
C. Both independent and dependent sources
D. Only AC sources
Explanation:
Dependent sources are kept active during analysis. Superposition is valid if the circuit is linear.
Explanation:
Delta-star and star-delta conversions are applicable only to three-terminal resistive networks.
Explanation:
The main principle of superposition is evaluating each source separately.
Q184. In a delta network, all resistors are 12 ohm. What is each star resistor value?
A. 4 ohm
B. 6 ohm
C. 3 ohm
D. 2 ohm
Answer: A. 4 ohm
Explanation:
Star resistor = (12*12) / (12+12+12) = 144/36 = 4 ohm
Explanation:
Since power is a nonlinear function (P = I²R), superposition cannot be used for total power
calculation.
Q186. The total number of star resistors equivalent to a delta network is:
A. Two
B. Three
C. One
D. Four
Answer: B. Three
Explanation:
Every delta network can be converted to three equivalent star resistors.
Q187. What is the value of delta resistor between terminals A and B if star resistors are 2
ohm, 3 ohm, and 4 ohm?
A. 3.6 ohm
B. 7.5 ohm
C. 8 ohm
D. 10 ohm
Answer: B. 7.5 ohm
Explanation:
R_AB = (R_A + R_B + (R_AR_B)/R_C)
= (2 + 3 + (23)/4) = 5 + 1.5 = 6.5 ohm
(This is a simplified answer; exact method uses standard delta conversion formula.)
Explanation:
Superposition works for mixed AC/DC linear circuits by analyzing one source at a time.
Explanation:
Nonlinear elements violate the proportional relationship needed for superposition to apply.
Q190. In a star to delta conversion, if one of the star resistors is zero, what will be the
corresponding delta resistance?
A. Zero
B. Maximum
C. Infinite
D. One
Answer: C. Infinite
Explanation:
The formula involves division by the opposite star resistor. If it’s zero, delta resistor becomes
infinite.
Q191. Which configuration offers equal resistance between all three terminals if resistors
are equal?
A. Delta
B. Star
C. Both delta and star
D. Neither
Explanation:
If all resistors are equal in both delta and star, resistance between any two terminals will be
equal.
Explanation:
Conversion makes it possible to reduce the network using simple series-parallel techniques.
Q193. The algebraic sum of currents in a node is zero. This principle is used in:
A. Star-delta conversion
B. KCL for nodal analysis
C. Superposition theorem
D. Norton’s theorem
Explanation:
Kirchhoff’s Current Law (KCL) is used in nodal analysis, not directly in superposition or delta
conversion.
Q194. Superposition principle helps to handle:
A. Multiple resistors in a series
B. Nonlinear components
C. Multi-source linear circuits
D. Short circuits
Explanation:
It is particularly useful in circuits having more than one independent source.
Q195. Which technique will help simplify a bridge circuit with five resistors?
A. Superposition
B. Thevenin’s theorem
C. Delta to star conversion
D. Source shifting
Explanation:
A bridge circuit with resistors can often be reduced using delta-star techniques.
Explanation:
The total current or voltage is obtained by algebraically summing individual responses.
Q197. In a delta network with resistors 3 ohm, 6 ohm, and 9 ohm, the star resistor
connected to node between 6 and 9 ohm will be:
A. 3 ohm
B. 2.25 ohm
C. 1.8 ohm
D. 2 ohm
Explanation:
R_star = (69)/(3+6+9) = 54/18 = 3 ohm
(If 6 and 9 are adjacent, the node opposite 3 ohm, so R = (69)/(6+9+3) = 54/18 = 3 ohm)
Q198. In which case is superposition theorem invalid even if the circuit is linear?
A. If it contains dependent sources
B. If power is to be calculated
C. If inductors are present
D. If capacitors are present
Explanation:
Superposition cannot be used for power since power is not a linear quantity.
Explanation:
Each delta resistor is calculated by (product of two star resistors) / opposite star resistor.
Q201. The average value of a sinusoidal voltage over one full cycle is:
A. Zero
B. Peak value
C. RMS value
D. Half the peak value
Answer: A. Zero
Explanation:
The positive and negative halves of a sine wave cancel out over one full cycle, making the
average value zero.
Q202. The RMS (root mean square) value of a sinusoidal current is equal to:
A. Peak value divided by square root of 2
B. Twice the peak value
C. Peak value multiplied by 2
D. Average value
Explanation:
RMS value = Peak value / √2 ≈ 0.707 × peak value for a pure sine wave.
Answer: B. One
Explanation:
In a resistive circuit, current and voltage are in phase → power factor = cos(0°) = 1
Q204. In a pure inductive A.C. circuit, the current:
A. Lags voltage by 90 degrees
B. Leads voltage by 90 degrees
C. Is in phase with voltage
D. Equals voltage
Explanation:
In inductors, current lags behind voltage by 90° in a sinusoidal A.C. circuit.
Explanation:
Current leads voltage by 90° in a pure capacitor → real power = 0 → power factor = 0, leading
Answer: B. Minimum
Explanation:
At resonance, XL = XC → total impedance = R (minimum), and circuit behaves like a pure
resistor.
Explanation:
Resonance condition: inductive reactance (XL) = capacitive reactance (XC)
Answer: B. Unity
Explanation:
At resonance, the circuit behaves like a resistive circuit → power factor = 1 (unity)
Q209. What is the formula for calculating power in a 3-phase balanced load using two
wattmeters?
A. W1 + W2
B. 3 × (W1 + W2)
C. 2 × (W1 + W2)
D. √3 × (W1 + W2)
Answer: A. W1 + W2
Explanation:
In two-wattmeter method, total power in a balanced 3-phase system = W1 + W2
Q210. In a three-phase star-connected system, line voltage is related to phase voltage as:
A. VL = VP
B. VL = VP / √3
C. VL = √3 × VP
D. VL = VP²
Answer: C. VL = √3 × VP
Explanation:
In star connection: Line voltage = √3 × Phase voltage
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Q211. In a star-connected balanced 3-phase system, what is the relation between line
current and phase current?
A. Line current = Phase current
B. Line current = Phase current / √3
C. Line current = √3 × Phase current
D. Line current = Phase current²
Explanation:
In star connection, line current and phase current are the same.
Explanation:
In delta connection, each phase is connected across the line → Phase voltage = Line voltage
Q213. In delta connection, what is the relation between line current and phase current?
A. Line current = Phase current
B. Line current = √3 × Phase current
C. Line current = Phase current / √3
D. Line current = 2 × Phase current
Explanation:
In delta connection, line current = √3 × phase current
Answer: C. 0.637 × Vm
Explanation:
Average value of full-wave rectified sine wave = (2Vm) / π ≈ 0.637 × Vm
Answer: B. Positive
Explanation:
In inductive circuits, current lags voltage → reactive power (VAR) is positive.
Q216. What is the phase angle between voltage and current in a pure capacitive A.C.
circuit?
A. 0 degree
B. 45 degrees
C. 90 degrees lagging
D. 90 degrees leading
Explanation:
A resistor does not change with frequency. Impedance Z = R in pure resistive circuit.
Explanation:
At resonance, XL = XC → reactive currents cancel → circuit appears purely resistive.
Q219. In a balanced three-phase load, the total power consumed is given by:
A. 3 × VL × IL × cos(φ)
B. √3 × VL × IL × cos(φ)
C. VL × IL × sin(φ)
D. 1.5 × VL × IL
Answer: B. √3 × VL × IL × cos(φ)
Explanation:
Total power = √3 × Line Voltage × Line Current × power factor in 3-phase balanced system.
Explanation:
As the name suggests, two wattmeters are used to measure total power in 3-phase systems.
Answer: C. Lagging
Explanation:
In R-L circuits, current lags behind voltage → lagging power factor.
Q222. In a balanced star-connected load, if line voltage is 400V, what is the phase voltage?
A. 400V
B. 230V
C. 400 / √3 V
D. √3 × 400 V
Answer: C. 400 / √3 V
Explanation:
Phase voltage in star = Line voltage / √3
Answer: C. VAR
Explanation:
Reactive power is measured in Volt-Ampere Reactive (VAR)
Q224. In a pure resistive A.C. circuit, the waveforms of current and voltage are:
A. 90 degrees out of phase
B. In phase
C. 180 degrees out of phase
D. Not related
Answer: B. In phase
Explanation:
In a resistive circuit, current and voltage rise and fall together → in phase
Q225. What is the main advantage of using three-phase power over single-phase power?
A. Higher cost
B. More losses
C. Constant power delivery
D. Used only for lighting
Explanation:
In three-phase systems, total power is constant at all times unlike single-phase systems.
Explanation:
For a pure sine wave, RMS = Peak value divided by √2 ≈ 0.707 × Peak
Q227. In a balanced 3-phase system, the sum of three phase currents at the neutral point is:
A. Maximum
B. Zero
C. Equal to line current
D. Equal to voltage
Answer: B. Zero
Explanation:
In a balanced system, the three phase currents are equal in magnitude and 120° apart, their vector
sum is zero.
Explanation:
In capacitors, current leads the voltage by 90°, opposite of inductors.
Q229. What happens to the total impedance of a series RLC circuit at resonance?
A. Increases
B. Equals capacitive reactance
C. Equals inductive reactance
D. Equals resistance only
Explanation:
At resonance, XL = XC → reactive parts cancel → impedance = R (resistive only)
Answer: B. XL = XC
Explanation:
Resonance in RLC circuits occurs when inductive reactance equals capacitive reactance.
Q232. In a 3-phase system, the phase angle between two voltages is:
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 180 degrees
Explanation:
Each phase in a 3-phase system is 120° apart in phase from the others.
Answer: B. Zero
Explanation:
In inductors, energy is stored and returned → average power over time = 0
Answer: C. Minimum
Explanation:
In parallel resonance, the total line current is minimum because the reactive branch currents
cancel.
Q235. If line current in a star-connected 3-phase system is 10 A, the phase current is:
A. 10 A
B. 10 / √3 A
C. 10 × √3 A
D. Zero
Answer: A. 10 A
Explanation:
In star connection, line current = phase current.
Q236. If phase voltage of a star-connected system is 230 V, what is the line voltage?
A. 230 V
B. 400 V
C. 230 × √3 V
D. 400 / √3 V
Answer: B. 400 V
Explanation:
Line voltage = √3 × 230 V ≈ 400 V (rounded)
Answer: D. VA
Explanation:
Apparent power (S) is measured in volt-amperes (VA) = V × I (without cosθ)
Explanation:
Power factor = real power / apparent power
PF = 0.5 means 50% of the total supplied power is real (useful) power.
Explanation:
3-phase systems deliver power continuously without pulsation, unlike single-phase.
Answer: C. Unity
Explanation:
At resonance, reactive parts cancel out, making the circuit purely resistive → PF = 1
Q241. In single-phase A.C. circuits, which of the following instruments is used to measure
power?
A. Ammeter
B. Voltmeter
C. Wattmeter
D. Energy meter
Answer: C. Wattmeter
Explanation:
A wattmeter is used to measure real power in single-phase or balanced A.C. circuits.
Answer: A. V × I
Explanation:
In resistive circuits, θ = 0 → power = V × I × cos(0) = V × I
Explanation:
Reactive power is due to energy storage in inductors and capacitors → no net consumption.
Explanation:
Average power (real power) = Voltage × Current × Power Factor = V × I × cosθ
Q245. In a 3-phase system, what is the typical method for measuring power in a balanced
load?
A. One-wattmeter method
B. Two-wattmeter method
C. Three-ammeter method
D. One-voltmeter method
Explanation:
For balanced 3-phase loads, two wattmeters are used for accurate total power measurement.
Q246. In an RLC series circuit below resonance, the nature of the circuit is:
A. Purely resistive
B. Inductive
C. Capacitive
D. Zero impedance
Answer: C. Capacitive
Explanation:
Below resonance → XC > XL → net reactance is capacitive → circuit behaves like a capacitive
load.
Q247. A 3-phase system with star-connected load has line voltage of 415 V. What is the
phase voltage?
A. 230 V
B. 415 V
C. 720 V
D. 360 V
Answer: A. 230 V
Explanation:
Phase voltage = Line voltage / √3 = 415 / 1.732 ≈ 230 V
Q248. In a purely resistive A.C. circuit, the waveform of power is:
A. Sinusoidal
B. Constant
C. Pulsating
D. Zero
Answer: C. Pulsating
Explanation:
Power = V × I = Vm × Im × sin²(wt) → which is always positive and pulsates at twice the
frequency.
Explanation:
This is the condition for maximum power transfer in A.C. networks.
Q250. In a balanced 3-phase star-connected system, if one phase is disconnected, the system
becomes:
A. Still balanced
B. Unbalanced
C. More efficient
D. Overloaded
Answer: B. Unbalanced
Explanation:
If one phase is disconnected in a 3-phase system, balance is lost → leads to unbalanced load
condition.
Q251. In a pure inductor connected to an A.C. source, the current waveform is:
A. In phase with voltage
B. Lagging voltage by 90 degrees
C. Leading voltage by 90 degrees
D. Same as voltage
Explanation:
In a pure inductor, current lags the applied voltage by 90 degrees.
Answer: A. 1.11
Explanation:
Form factor = RMS value / Average value = 0.707 / 0.637 ≈ 1.11 for a sine wave.
Q253. In a series R-L circuit supplied with A.C. voltage, the impedance is:
A. R only
B. L only
C. R + XL
D. Square root of (R² + XL²)
Explanation:
Z = √(R² + XL²), where XL = 2πfL is inductive reactance.
Q254. If the frequency of A.C. increases in an R-L circuit, the inductive reactance:
A. Increases
B. Decreases
C. Remains the same
D. Becomes zero
Answer: A. Increases
Explanation:
XL = 2πfL → as frequency increases, XL increases.
Q255. In an R-C series circuit, the current leads the voltage by:
A. 90 degrees
B. 0 degrees
C. An angle less than 90 degrees
D. 180 degrees
Explanation:
In R-C circuit, current leads voltage but the lead is less than 90° unless R = 0.
Q256. The quality factor (Q-factor) of a series RLC circuit is given by:
A. R / (2πfL)
B. XL / R
C. 1 / R
D. XC / XL
Answer: B. XL / R
Explanation:
Q = XL / R at resonance in a series RLC circuit (or 1/R * √(L/C))
Q257. In a balanced 3-phase delta-connected load, the phase current is related to line
current as:
A. Equal
B. Phase current = Line current / √3
C. Phase current = √3 × Line current
D. None of the above
Explanation:
In delta: Line current = √3 × Phase current → Phase current = Line current / √3
Answer: C. No unit
Explanation:
Power factor is a ratio (cosθ), hence unitless.
Q259. In a single-phase A.C. circuit, if voltage and current are in phase, the power factor
is:
A. Zero
B. Unity
C. Lagging
D. Leading
Answer: B. Unity
Explanation:
In-phase voltage and current → angle = 0° → power factor = cos(0°) = 1 (unity)
Q260. At resonance in a parallel RLC circuit, the current drawn from the source is:
A. Maximum
B. Minimum
C. Zero
D. Infinite
Answer: B. Minimum
Explanation:
At resonance, total impedance is maximum, hence line current is minimum in a parallel RLC
circuit.
Q261. Which of the following A.C. quantities may have the same value for different
waveforms?
A. RMS
B. Average
C. Peak
D. Form factor
Answer: C. Peak
Explanation:
Different waveforms can have the same peak value, but RMS and average values differ.
Explanation:
When one wattmeter reads negative in two-wattmeter method, it indicates power factor < 0.5
Answer: B. Zero
Explanation:
In capacitive circuits, energy is alternately stored and returned → no real power consumption.
Explanation:
3-phase 4-wire systems supply both single-phase and 3-phase loads.
Q265. In a single-phase A.C. circuit, if the current lags the voltage by 30°, the power factor
is:
A. cos(30°)
B. sin(30°)
C. tan(30°)
D. zero
Answer: A. cos(30°)
Explanation:
Power factor = cos(θ) → here, θ = 30°
Explanation:
In resistive circuits, voltage and current waveforms are aligned → no phase difference.
Answer: B. V × I × cosθ
Explanation:
Active or real power = VI cosθ
Q268. In a balanced star system, how many measurements are needed to calculate total
power using two-wattmeter method?
A. One
B. Two
C. Three
D. Four
Answer: B. Two
Explanation:
The method uses two wattmeters to calculate total 3-phase power.
Explanation:
Wattmeters measure real (active) power in AC or DC circuits.
Explanation:
Inductive loads store and return energy → they consume reactive power (no real work done).
Explanation:
Although each phase power varies, their sum remains constant → smooth operation of 3-phase
systems.
Q272. A pure capacitor in an AC circuit offers:
A. Resistance
B. Inductive reactance
C. Capacitive reactance
D. No opposition
Explanation:
Capacitors oppose AC through capacitive reactance XC = 1 / (2πfC)
Explanation:
Bandwidth = f2 - f1 where f1 and f2 are frequencies at which power is half the peak power.
Q274. In a star connection, each line voltage is related to phase voltage as:
A. Equal
B. 2 × phase voltage
C. Phase voltage × √3
D. Phase voltage / √3
Explanation:
Line voltage = √3 × Phase voltage in a star configuration.
Q276. If an R-L circuit has a power factor of 0.8 lagging, then the angle between voltage
and current is approximately:
A. 30 degrees
B. 45 degrees
C. 36.87 degrees
D. 60 degrees
Explanation:
cos⁻¹(0.8) = 36.87°, which is the phase angle when PF = 0.8 lagging.
Explanation:
Current leads voltage by 90° in a capacitive circuit → out of phase by 90°.
Answer: B. XC decreases
Explanation:
XC = 1 / (2πfC) → as frequency increases, XC decreases.
Explanation:
Apparent power = V × I → measured in VA
Q280. In a balanced 3-phase delta system, the power consumed is given by:
A. 3 × Vph × Iph × cos(φ)
B. √3 × VL × IL × cos(φ)
C. VL × IL
D. 2 × Vph × Iph × cos(φ)
Answer: B. √3 × VL × IL × cos(φ)
Explanation:
This is the general formula for power in any balanced 3-phase system.
Q281. Which of the following represents the phasor relation for voltage and current in an
R-L series circuit?
A. Voltage lags current
B. Voltage and current are in phase
C. Voltage leads current
D. Voltage leads by 180°
Explanation:
In an inductive circuit, current lags behind → voltage leads.
Answer: C. Leading
Explanation:
In capacitors, current leads voltage → power factor is leading.
Explanation:
Unity power factor → most of the power is real → more efficient.
Q284. If the RMS voltage is 230V, what is its peak value approximately?
A. 230V
B. 325V
C. 115V
D. 200V
Answer: B. 325V
Explanation:
Vm = Vrms × √2 = 230 × 1.414 ≈ 325V
Q285. In the two-wattmeter method, if both wattmeters read equal and positive, the power
factor is:
A. Zero
B. Unity
C. Leading
D. Lagging
Answer: B. Unity
Explanation:
When both wattmeters read equal and positive, PF = 1
Q286. The purpose of using capacitors in an A.C. circuit is often to:
A. Increase power factor
B. Decrease voltage
C. Increase current
D. Block A.C.
Explanation:
Capacitors provide leading reactive power to offset lagging inductive loads → PF improves.
Explanation:
The impedance triangle: R (base), XL (height), Z (hypotenuse)
Q288. What happens to resonance frequency if the inductance increases in an RLC series
circuit?
A. It increases
B. It decreases
C. It becomes infinite
D. It remains same
Answer: B. It decreases
Explanation:
fr = 1 / (2π√(LC)) → if L increases, fr decreases.
Explanation:
Voltage between two lines (phases) is called line voltage.
Answer: A. Voltage
Explanation:
Capacitors resist voltage change by storing energy in electric fields.
Answer: B. 400V
Explanation:
VL = √3 × Vph = 1.732 × 230 ≈ 400V
Explanation:
RL circuit → current lags → lagging power factor
Q293. Which instrument is not used to measure A.C. power directly?
A. Wattmeter
B. Energy meter
C. Oscilloscope
D. Power analyzer
Answer: C. Oscilloscope
Explanation:
Oscilloscopes show waveforms; do not measure power directly.
Answer: C. Resistor
Explanation:
Only resistors consume real power; L and C store and return it.
Explanation:
Inductors cause current to lag → lagging power factor
Q296. Which one gives the average value of full-wave sinusoidal A.C. current?
A. 0.707 × Imax
B. 0.637 × Imax
C. 0.318 × Imax
D. 1.11 × Imax
Explanation:
Capacitors store energy in electric field between their plates.
Q298. If the frequency is doubled in an R-L circuit, the reactance of the inductor will:
A. Halve
B. Remain constant
C. Double
D. Become zero
Answer: C. Double
Explanation:
XL = 2πfL → if f doubles, XL doubles.
Explanation:
Sum of instantaneous powers in 3-phase is constant → smoother power delivery.
Explanation:
Lagging PF = current lags voltage → common in inductive loads.
Explanation:
XC = 1 / (2πfC). When frequency increases, XC decreases, so the total impedance (Z = √(R² +
XC²)) also decreases.
Q302. If the power factor of a circuit is zero, then the power consumed is:
A. Maximum
B. Unity
C. Zero
D. Infinite
Answer: C. Zero
Explanation:
Power = V × I × cos(θ). If power factor = 0, cos(θ) = 0, hence real power = 0.
Explanation:
In delta connection, each phase is directly across the line. Therefore, VL = Vph.
Q304. In a 3-phase balanced system, the total power does not depend on:
A. Phase sequence
B. Power factor
C. Line voltage
D. Load
Explanation:
Phase sequence affects rotation in motors but does not affect total power in a balanced system.
Explanation:
Leading power factor occurs in capacitive circuits where current leads voltage.
Answer: C. Decreases
Explanation:
Increasing inductance increases XL → more phase angle → lower power factor (cosθ).
Q307. In an A.C. circuit, when does resonance occur in R-L-C parallel circuit?
A. XL = R
B. XC = R
C. XL = XC
D. XL = Z
Answer: C. XL = XC
Explanation:
At resonance, inductive and capacitive reactances cancel each other → XL = XC.
Q308. For a sinusoidal waveform, the average value over one-half cycle is:
A. 0.318 × Vm
B. 0.707 × Vm
C. 0.637 × Vm
D. 1.11 × Vm
Answer: C. 0.637 × Vm
Explanation:
Average value over one half cycle = (2Vm) / π ≈ 0.637 × Vm
Q309. In a star-connected 3-phase load, each phase draws 10 A. The total power factor is
0.8 lagging. What is the total power if the line voltage is 400V?
A. 8.3 kW
B. 10.5 kW
C. 5.5 kW
D. 9.6 kW
Answer: D. 9.6 kW
Explanation:
P = √3 × VL × IL × cos(φ) = √3 × 400 × 10 × 0.8 ≈ 9.6 kW
Q310. The wattmeter reads zero when connected in a 3-phase system. This indicates:
A. No load
B. Unity power factor
C. Zero power factor
D. Voltage drop in the coil
Explanation:
If the wattmeter reads zero in a two-wattmeter method, it indicates that cos(φ) = 0 → purely
reactive load → PF = 0.
Q311. The relationship between average and RMS value of a sine wave is given by:
A. RMS = Average
B. RMS = 0.637 × Average
C. RMS = 1.11 × Average
D. RMS = 1.41 × Average
Explanation:
Form factor = RMS / Average = 1.11 → RMS = 1.11 × Average value
Q312. Which of the following will NOT affect the impedance of a series RLC circuit?
A. Resistance
B. Inductance
C. Capacitance
D. Supply voltage
Explanation:
Impedance depends on R, L, C, and frequency — not on supply voltage.
Q313. Which of the following statements is true about balanced 3-phase systems?
A. Phase voltages are unequal
B. Current in each phase differs
C. Power is constant
D. Power factor is zero
Explanation:
In balanced systems, power delivered to the load is constant over time.
Explanation:
Balanced system → all currents are equal in magnitude and displaced by 120° in phase.
Explanation:
XC = 1 / (2πfC) → as frequency increases, XC decreases.
Explanation:
Power factor = Real Power / Apparent Power = P / S
Answer: C. Resistor
Explanation:
Resistor consumes only real power, not reactive power.
Q318. At resonance in a series RLC circuit, the current is:
A. Maximum
B. Minimum
C. Zero
D. Infinite
Answer: A. Maximum
Explanation:
At resonance, XL = XC → impedance is minimum (equal to R), so current is maximum.
Explanation:
For a square wave, RMS = Peak value, because magnitude is constant over time.
Q320. The instrument used to measure power factor in A.C. circuits is:
A. Wattmeter
B. Power factor meter
C. Voltmeter
D. Ammeter
Explanation:
A power factor meter is designed specifically to measure the angle between current and voltage
→ PF.
Explanation:
No real power is consumed in inductors → average power = 0.
Answer: C. 1.414
Explanation:
Crest factor = Peak / RMS = 1.414 for sinusoidal wave.
Answer: C. 90 degrees
Explanation:
In capacitive circuits, current leads voltage by 90°.
Answer: B. √3 × VL × IL
Explanation:
Apparent Power (S) = √3 × VL × IL
Q325. In a single-phase circuit, if the power factor is unity, then:
A. Only reactive power is present
B. Only real power is present
C. Real power is zero
D. Apparent power is zero
Explanation:
Unity power factor → no reactive power → total power = real power.
Q326. If the frequency of an A.C. supply is increased, the inductive reactance will:
A. Decrease
B. Remain constant
C. Increase
D. Become zero
Answer: C. Increase
Explanation:
Inductive reactance (XL) = 2πfL. So, increasing frequency increases XL.
Explanation:
Bandwidth = f2 – f1 (frequencies at which power drops to half of its maximum at resonance)
Q328. In a balanced three-phase system, what is the angle between any two line currents?
A. 180°
B. 90°
C. 120°
D. 60°
Answer: C. 120°
Explanation:
Each phase is 120° apart in a balanced 3-phase system.
Explanation:
XC = 1 / (2πfC) → inversely proportional to both f and C.
Explanation:
At PF = 0 → power is purely reactive → no real power is consumed.
Q331. The average value of a sinusoidal current over a full cycle is:
A. Zero
B. Equal to RMS value
C. Equal to peak value
D. 0.637 × peak value
Answer: A. Zero
Explanation:
The positive and negative halves cancel out over a full cycle → average = 0.
Answer: B. Zero
Explanation:
In balanced loads, vector sum of three-phase currents is zero → no current flows in neutral.
Answer: B. VAR
Explanation:
Reactive power is measured in Volt-Ampere Reactive (VAR)
Q334. In an A.C. circuit with unity power factor, the angle between current and voltage is:
A. 0°
B. 30°
C. 45°
D. 90°
Answer: A. 0°
Explanation:
At unity power factor, current and voltage are in phase → angle = 0°
Explanation:
In star configuration, line current = phase current.
Explanation:
In delta connection, each phase is across line → VL = Vph
Answer: C. f = 1 / (2π√LC)
Explanation:
This is the standard formula for resonance in RLC series circuits.
Answer: D. Pulsating
Explanation:
p(t) = V × I = Vm × Im × sin²(ωt) → always positive but varies over time.
Q340. In a series RLC circuit at resonance, the voltage across inductor and capacitor:
A. Are both zero
B. Are equal and opposite
C. Are maximum and in phase
D. Cancel each other
Explanation:
At resonance, VL = –VC → cancel each other → net reactance = 0
Q341. Which of the following conditions causes power factor to become leading?
A. Inductive load
B. Capacitive load
C. Resistive load
D. Balanced load
Explanation:
Capacitive loads cause current to lead voltage → leading PF.
Answer: D. Kilowatt-hour
Explanation:
Commercial energy consumption is measured in kWh (units)
Explanation:
In pure resistive circuits, current and voltage are in phase → PF = 1
Q345. The phase difference between current and voltage in a pure inductive circuit is:
A. 0°
B. 45°
C. 90°
D. 180°
Answer: C. 90°
Explanation:
In a pure inductor, current lags voltage by 90°.
Q346. In A.C. circuits, the net energy stored over one complete cycle in a pure inductor is:
A. Zero
B. Maximum
C. Minimum
D. Infinite
Answer: A. Zero
Explanation:
Energy is alternately stored and released → net energy over full cycle = 0
Explanation:
Capacitor banks provide leading reactive power → improve PF.
Answer: C. Unity
Explanation:
Unity PF → minimum losses and better voltage regulation.
Answer: B. V × I × cos(θ)
Explanation:
Active power (real power) = VI cos(θ)
Q350. A load draws 10 A current at 0.6 power factor. What is the active current
component?
A. 10 A
B. 6 A
C. 8 A
D. 4 A
Answer: B. 6 A
Explanation:
Active current = I × cos(θ) = 10 × 0.6 = 6 A
Answer: B. √3 × VL × IL × cos(φ)
Explanation:
This formula is used for real power in balanced 3-phase systems.
Q352. Which of the following is true for a balanced 3-phase load connected in star?
A. Line current = Phase current
B. Line voltage = Phase voltage
C. Line current = √3 × Phase current
D. Power factor is always 1
Explanation:
In star connection, line current equals phase current, but line voltage is √3 × phase voltage.
Q353. What will be the current in a circuit if voltage is 100V and load is purely capacitive
with XC = 20 ohms?
A. 5 A
B. 10 A
C. 2 A
D. 20 A
Answer: A. 5 A
Explanation:
I = V / XC = 100 / 20 = 5 A
Explanation:
Power triangle:
Q355. The instrument used to measure reactive power in a 3-phase system is:
A. Ammeter
B. Wattmeter
C. Energy meter
D. VAR meter
Explanation:
VAR meter measures reactive power (Volt-Ampere Reactive).
Explanation:
All three phases are required for balance. Removing one creates unbalance.
Explanation:
Inductor: Current lags voltage by 90°.
Explanation:
At resonance, XL = XC → impedance = R.
Q359. In a three-phase system, power measurement with two wattmeters gives equal
readings when:
A. Load is resistive only
B. Power factor is 0
C. Power factor is 0.5
D. Power factor is unity
Explanation:
W1 = W2 = total power / 2 when PF = 1.
Q360. The reason for using 3-phase power in industries is:
A. Higher frequency
B. Lower cost
C. Constant power
D. Less voltage
Explanation:
3-phase systems provide continuous power → better for motors and heavy machinery.
Q361. The phase difference between voltage and current in a pure resistive circuit is:
A. 0°
B. 45°
C. 90°
D. 180°
Answer: A. 0°
Explanation:
In resistive circuits, voltage and current are in phase.
Explanation:
This is the maximum power transfer condition in purely resistive circuits.
Q363. If a circuit has a lagging power factor, it means the load is likely:
A. Capacitive
B. Resistive
C. Inductive
D. Mixed with high capacitance
Answer: C. Inductive
Explanation:
Lagging PF → current lags → caused by inductive loads.
Q364. Which of the following does NOT affect the RMS value of a sine wave?
A. Frequency
B. Peak value
C. Amplitude
D. Shape
Answer: A. Frequency
Explanation:
RMS depends on waveform shape and amplitude, not frequency.
Explanation:
Neutral maintains voltage balance in case of unbalanced loads.
Explanation:
Apparent power (S) = √(P² + Q²)
Answer: C. 90°
Explanation:
Capacitor: Voltage lags current by 90°.
Answer: A. Maximum
Explanation:
In parallel RLC at resonance, line current is minimum → impedance is maximum.
Q369. The instrument used to measure both current and voltage is:
A. Ammeter
B. Voltmeter
C. Multimeter
D. Wattmeter
Answer: C. Multimeter
Explanation:
Multimeter combines voltmeter, ammeter, and ohmmeter.
Explanation:
Wattless = reactive current → no power consumed → present in pure L or C circuits.
Answer: B. Decreases
Explanation:
XC = 1 / (2πfC) → f ↑ ⇒ XC ↓
Q373. The voltage in a purely capacitive circuit leads the current by:
A. 90°
B. 180°
C. 0°
D. Lags by 90°
Explanation:
In capacitors, voltage lags current by 90°.
Q374. Which of the following devices reduces reactive power in power systems?
A. Reactor
B. Capacitor
C. Transformer
D. Resistor
Answer: B. Capacitor
Explanation:
Capacitors supply leading VAR to balance inductive loads.
Explanation:
Delta = triangle → each phase across two lines (phases).
Q376. In three-phase measurement using one wattmeter, the method is applicable only
when:
A. Load is unbalanced
B. Load is purely capacitive
C. Power factor is unity
D. Load is balanced and power factor is known
Explanation:
One wattmeter can give total power only if load is balanced and PF is known.
Answer: B. 325V
Explanation:
Peak = RMS × √2 = 230 × 1.414 ≈ 325V
Answer: B. No unit
Explanation:
Form factor = RMS / Average value → unitless ratio
Explanation:
At resonance → XL = XC → Z = R → current is max
Q380. An RLC circuit has R = 10Ω, L = 0.1H, and C = 100μF. Find resonance frequency.
A. 50 Hz
B. 100 Hz
C. 159 Hz
D. 318 Hz
Answer: C. 159 Hz
Explanation:
f = 1 / (2π√LC) = 1 / (2π√(0.1 × 100×10⁻⁶)) ≈ 159 Hz
Q381. In a single-phase RLC circuit at resonance, the voltage across inductor and
capacitor is:
A. Zero
B. Equal in magnitude but opposite in phase
C. Equal to supply voltage
D. Same as resistance voltage drop
Explanation:
At resonance, VL = -VC → cancel each other → net voltage drop is only across resistance.
Explanation:
In a purely resistive circuit, there is no phase shift between voltage and current.
Explanation:
In star connection, each load is connected between a phase and the neutral.
Q384. The ratio of peak value to RMS value for a sine wave is known as:
A. Form factor
B. Crest factor
C. Quality factor
D. Duty cycle
Explanation:
Crest factor = Vm / Vrms = 1.414 for sine wave
Q385. Which type of load has zero power factor?
A. Pure resistive
B. Pure inductive or capacitive
C. R-L load
D. Balanced load
Explanation:
In pure L or C circuits, current and voltage are 90° out of phase → PF = 0
Explanation:
Phasor = rotating vector representing sinusoidal waveform in magnitude and phase angle.
Q387. In a 3-phase 4-wire system, voltage between neutral and phase is:
A. Zero
B. Equal to line voltage
C. Equal to phase voltage
D. √3 times line voltage
Explanation:
Phase voltage is the voltage between phase and neutral.
Q388. When does an inductor behave like a short circuit in an A.C. circuit?
A. At low frequency
B. At high frequency
C. At resonance
D. Never
Answer: A. At low frequency
Explanation:
XL = 2πfL → at low f, XL ≈ 0 → behaves like a short circuit.
Explanation:
Leading power factor → capacitive load → current leads voltage.
Q390. The total opposition offered to A.C. current in an RLC circuit is called:
A. Resistance
B. Reactance
C. Impedance
D. Power factor
Answer: C. Impedance
Explanation:
Impedance (Z) = combined effect of resistance and reactance.
Answer: B. 7.07 A
Explanation:
Im = Irms × √2 = 5 × 1.414 = 7.07 A
Q392. In A.C. circuits, real power is used for:
A. Creating magnetic fields
B. Energy storage
C. Performing useful work
D. Voltage regulation
Explanation:
Real power = actual power consumed by resistive components.
Answer: C. Unbalanced
Explanation:
If one load is removed or opens, symmetry is lost → unbalanced system.
Explanation:
f = 1 / (2π√LC) → depends only on L and C.
Q395. If in an RLC series circuit, XL > XC, the nature of circuit is:
A. Resonant
B. Capacitive
C. Inductive
D. Resistive
Answer: C. Inductive
Explanation:
Net reactance is inductive when XL > XC.
Q396. A sinusoidal current of 2 A peak has an average value over half cycle of:
A. 0.707 A
B. 0.637 A
C. 1.27 A
D. 2 A
Answer: C. 1.27 A
Explanation:
Iavg = 0.637 × Im = 0.637 × 2 = 1.274 A
Q397. The minimum number of wattmeters required to measure power in 3-phase 3-wire
balanced system is:
A. 1
B. 2
C. 3
D. 0
Answer: B. 2
Explanation:
Two-wattmeter method is used for 3-phase 3-wire system.
Q398. In a 3-phase system, if W1 = 500 W and W2 = -200 W, then power factor is:
A. Less than 0.5
B. Unity
C. Zero
D. 1
Explanation:
When one wattmeter reads negative → PF < 0.5
Q399. Voltage and current are said to be in quadrature when phase angle is:
A. 0°
B. 45°
C. 90°
D. 180°
Answer: C. 90°
Explanation:
Quadrature means 90° phase difference → typical of pure L or C.
Q400. The average value of a full wave rectified sine current is related to peak current as:
A. 0.637 × Im
B. 0.707 × Im
C. 1.11 × Im
D. Im / 2
Answer: A. 0.637 × Im
Explanation:
Iavg (full-wave) = (2 × Im) / π ≈ 0.637 × Im
Answer: C. Weber
Explanation:
Magnetic flux is measured in Weber (Wb). 1 Weber = 1 Tesla × 1 m².
Answer: A. Flux
Explanation:
Magnetic flux (ϕ) corresponds to current (I) in an electric circuit.
Explanation:
Reluctance = opposition to magnetic flux, just as resistance opposes electric current.
Explanation:
Permeability (μ) indicates how easily a material allows magnetic flux.
Explanation:
Reluctance R = l / (μA) → more length = higher reluctance
Answer: A. Tesla
Explanation:
Flux density B = Φ / A, and is measured in Tesla (Wb/m²)
Explanation:
Lenz's Law states that induced EMF opposes the change causing it, preserving energy balance.
Explanation:
Reluctance = MMF / flux → unit: At/Wb
Q411. If a magnetic circuit has higher reluctance, the flux produced will be:
A. Higher
B. Lower
C. Same
D. Infinite
Answer: B. Lower
Explanation:
Reluctance opposes flux; more reluctance = less flux.
Explanation:
Hopkinson’s law: MMF = Φ × Reluctance (analogous to Ohm’s law)
Q413. The magnetic flux in an iron core is 0.5 Wb and the cross-sectional area is 0.01 m².
Find flux density.
A. 5 T
B. 50 T
C. 0.05 T
D. 0.005 T
Answer: A. 5 T
Explanation:
B = Φ / A = 0.5 / 0.01 = 5 Tesla
Explanation:
Induction needs changing magnetic flux to induce EMF.
Answer: C. MMF
Explanation:
Voltage (electrical) ≈ MMF (magnetic), both cause their respective flows.
Answer: C. Ampere-turn
Explanation:
MMF = N × I → measured in ampere-turns (At)
Explanation:
Silicon steel has high permeability and low hysteresis loss → ideal for cores.
Explanation:
Reluctance depends on geometry and material—not voltage.
Explanation:
EMF = -N × dΦ/dt
Q420. When magnetic flux through a coil is constant, the induced EMF is:
A. Maximum
B. Zero
C. Negative
D. Infinity
Answer: B. Zero
Explanation:
No change in flux → no EMF induced.
Q421. If a magnetic core has air gap, the reluctance of the magnetic circuit will:
A. Decrease
B. Increase
C. Remain same
D. Become zero
Answer: B. Increase
Explanation:
Air has low permeability → higher reluctance.
Q422. The relation between magnetic field strength (H), flux density (B), and permeability
(μ) is:
A. B = H / μ
B. H = B × μ
C. B = μ × H
D. μ = B / H²
Answer: C. B = μ × H
Explanation:
Standard magnetic relation: B = μH
Answer: A. 1 Wb/m²
Explanation:
Tesla is the unit of flux density = flux per unit area.
Q424. A coil with 100 turns experiences a flux change of 0.02 Wb in 0.01 sec. The induced
EMF is:
A. 2 V
B. 20 V
C. 200 V
D. 0.2 V
Answer: B. 20 V
Explanation:
EMF = N × dΦ/dt = 100 × (0.02 / 0.01) = 100 × 2 = 20 V
Explanation:
Soft iron has high permeability and low hysteresis loss → ideal for transformer cores.
Q426. The magnetic field strength in the air core is greater than in an iron core for the
same current because:
A. Air has higher permeability
B. Iron resists flux
C. Air has lower permeability
D. Current decreases in air
Explanation:
Iron allows flux easily due to high permeability; air has low permeability, so H is higher for the
same flux.
Q427. Which of the following is the magnetic equivalent of electromotive force (EMF)?
A. Flux
B. MMF
C. Flux density
D. Reluctance
Answer: B. MMF
Explanation:
EMF in electric circuits corresponds to MMF (magnetomotive force) in magnetic circuits.
Answer: B. R = l / (μA)
Explanation:
Reluctance is analogous to resistance: R = l / (μA)
Answer: A. Constant
Explanation:
In steady-state sinusoidal operation, the flux density varies sinusoidally but within a designed
peak value.
Explanation:
The negative sign in EMF = -N(dΦ/dt) signifies opposition to the cause producing it, i.e., Lenz’s
law.
Explanation:
Φ = B × A = magnetic flux density × area
Q432. What happens to flux if the cross-sectional area of a magnetic path is doubled,
keeping all other factors constant?
A. Becomes half
B. Remains same
C. Doubles
D. Becomes zero
Answer: C. Doubles
Explanation:
Φ = B × A → if B is constant and A doubles, flux also doubles.
Explanation:
Magnetic field lines are continuous and form closed loops.
Q434. If permeability of material increases, the reluctance of the magnetic circuit:
A. Increases
B. Decreases
C. Remains same
D. Becomes infinite
Answer: B. Decreases
Explanation:
R = l / (μA) → as μ increases, R decreases.
Explanation:
The energy loss per cycle is the area enclosed by the hysteresis loop.
Explanation:
Hard magnetic materials retain magnetism → used for permanent magnets.
Q437. The time rate of change of magnetic flux through a coil induces:
A. Voltage
B. Current
C. Resistance
D. Power
Answer: A. Voltage
Explanation:
Faraday’s law: EMF = -dΦ/dt
Q438. If a coil has 500 turns and carries 2 A, its MMF is:
A. 250 At
B. 1000 At
C. 500 At
D. 2 At
Answer: B. 1000 At
Explanation:
MMF = N × I = 500 × 2 = 1000 At
Explanation:
MMF is the force that drives magnetic flux through a magnetic circuit.
Explanation:
B-H curve shows relationship between magnetic field (H) and flux density (B)
Q441. Permeance is the reciprocal of:
A. Reactance
B. Resistance
C. Reluctance
D. Inductance
Answer: C. Reluctance
Explanation:
Permeance = 1 / Reluctance → measures ease of flux establishment.
Explanation:
Laminations increase resistance to eddy current paths, reducing losses.
Explanation:
Motors convert electrical → mechanical energy.
Explanation:
Conversion depends on electromagnetic interaction (Lorentz force or induced EMF).
Q446. A coil wound on a magnetic core develops flux. If the current is reversed, the flux:
A. Remains same
B. Becomes zero
C. Reverses direction
D. Increases
Explanation:
Flux direction depends on current direction (Right-hand rule).
Q447. What is the main energy loss in a magnetic circuit during A.C. operation?
A. Copper loss
B. Hysteresis and eddy current loss
C. Dielectric loss
D. Radiation
Explanation:
AC causes B-H cycling (hysteresis) and induced eddy currents → both are core losses.
Explanation:
λ = N × Φ → flux linkage
Explanation:
L ∝ N² for a given core material and geometry.
Explanation:
EMF = -N × dΦ/dt
Answer: B. B = Φ / A
Explanation:
Flux density (B) is defined as magnetic flux (Φ) per unit area (A).
Q452. The property of a magnetic material to retain magnetism after the removal of
magnetizing force is called:
A. Permeability
B. Retentivity
C. Reluctivity
D. Hysteresis
Answer: B. Retentivity
Explanation:
Retentivity refers to the ability to retain residual magnetism.
Explanation:
Eddy currents are loops of current induced in cores due to varying magnetic fields → power loss.
Explanation:
Laminations increase path resistance for eddy currents, reducing their magnitude and power loss.
Q455. What is the effect of increasing the number of turns in a coil on induced EMF?
A. Decreases EMF
B. No effect
C. Increases EMF
D. Cancels EMF
Explanation:
EMF ∝ N → more turns = higher induced EMF.
Answer: A. A/m
Explanation:
Magnetic field strength H = MMF / length, unit = Ampere/meter (A/m)
Explanation:
The B-H curve is the hysteresis loop → shows magnetic memory of material.
Explanation:
Core losses = hysteresis + eddy current → present in AC magnetic circuits.
Q459. The law that states that the induced EMF is always in a direction to oppose the cause
is:
A. Faraday’s law
B. Lenz’s law
C. Ampere’s law
D. Gauss’s law
Explanation:
Lenz’s law ensures energy conservation by opposing the change in flux.
Q460. The efficiency of electromechanical energy conversion devices is reduced mainly due
to:
A. Hysteresis and eddy current losses
B. Air gaps
C. Mechanical friction
D. All of the above
Explanation:
All listed factors reduce the efficiency of motors, generators, and transformers.
Q461. In a magnetic circuit, if permeability increases, then for same MMF, flux will:
A. Increase
B. Decrease
C. Remain constant
D. Become zero
Answer: A. Increase
Explanation:
Φ = MMF / Reluctance, and reluctance ∝ 1/μ → more μ means less reluctance → more flux.
Q462. A good magnetic material for use in transformer cores must have:
A. High retentivity
B. High coercivity
C. Low hysteresis loss
D. Low resistivity
Explanation:
Low hysteresis loss reduces core losses and improves transformer efficiency.
Explanation:
Transformers work based on Faraday's law of electromagnetic induction.
Explanation:
Leakage flux doesn't link with the coil → lowers the effective inductance.
Q465. The relationship between magnetizing force (H) and flux density (B) in a non-linear
magnetic material is:
A. Linear
B. Quadratic
C. Hysteretic
D. Exponential
Answer: C. Hysteretic
Explanation:
Due to magnetic hysteresis, B-H relation in such materials is non-linear and depends on
magnetic history.
Explanation:
Linear B-H → predictable and efficient behavior under varying magnetization.
Answer: A. Ferrite
Explanation:
Ferrites and other hard magnetic materials retain magnetism → used in permanent magnets.
Explanation:
When current in one coil induces EMF in another → mutual inductance
Q469. Magnetic energy stored in an inductor is:
A. L × I
B. L × I²
C. ½ × L × I²
D. ½ × R × I²
Answer: C. ½ × L × I²
Explanation:
Energy stored in inductor = (1/2)LI²
Q470. What is the main difference between magnetic and electric circuits?
A. Magnetic circuits do not follow Ohm’s law
B. Magnetic circuits have current
C. Electric circuits have flux
D. Magnetic circuits have voltage
Explanation:
Magnetic circuits follow Hopkinson’s law, not Ohm’s law.
Explanation:
From V = L(dI/dt) → dI/dt = V / L → low L = fast current rise
Answer: A. Permeance
Explanation:
Permeance is reciprocal of reluctance → analogous to electrical conductance.
Answer: D. 6 Wb-turn
Explanation:
λ = N × Φ = 300 × 0.02 = 6 Wb-turn
Explanation:
Even without load, current is required to create core flux → this is magnetizing current.
Explanation:
Hysteresis loss ∝ frequency × area enclosed by B-H curve
476. Which of the following represents the energy stored in a magnetic field?
A. ½ × C × V²
B. ½ × L × I²
C. V × I × t
D. R × I²
Answer: B. ½ × L × I²
Explanation:
Energy stored in magnetic field of an inductor is given by W = ½ × L × I².
Explanation:
At saturation, material cannot support further increase in flux despite increasing MMF.
Explanation:
R = l / (μ × A); so, depends on geometry and permeability.
Answer: D. Alnico
Explanation:
Alnico is a hard magnetic material → high coercivity → suitable for permanent magnets.
Q480. The slope of the B-H curve represents:
A. Hysteresis
B. Flux
C. Permeability
D. Reluctance
Answer: C. Permeability
Explanation:
Slope of B-H curve = μ = B / H.
Explanation:
Larger hysteresis area = more energy loss per cycle = lower efficiency.
Explanation:
Air has low core losses and no hysteresis or eddy current loss.
Explanation:
Used to find direction of induced current or EMF in generators.
Q484. If a magnetic circuit is made of two materials in series, the total reluctance is:
A. Product of individual reluctances
B. Average of the two
C. Sum of individual reluctances
D. Difference of individual reluctances
Explanation:
Series magnetic circuits → Reluctances add up just like resistors.
Explanation:
High retentivity ensures magnetism is retained after removal of field.
Explanation:
Magnetic lines form a closed loop outside and inside the magnet.
Q487. The energy loss due to eddy currents is minimized by:
A. Increasing flux density
B. Using thick core
C. Using laminated core
D. Decreasing frequency
Explanation:
Laminations interrupt eddy current paths → reduced loss.
Explanation:
L ∝ N² → more turns → higher inductance.
Q489. The relation between MMF, flux, and reluctance is similar to:
A. P = V × I
B. V = I × R
C. C = Q/V
D. F = m × a
Answer: B. V = I × R
Explanation:
MMF = Φ × Reluctance (Hopkinson’s law) ↔ Ohm’s law.
Q491. Which of the following terms is NOT associated with magnetic circuits?
A. Permeability
B. Flux
C. MMF
D. Conductance
Answer: D. Conductance
Explanation:
Conductance is from electrical circuits → not relevant in magnetic systems.
Answer: C. Reluctance
Explanation:
Reluctance opposes magnetic flux, just as resistance opposes electric current.
Explanation:
Low hysteresis = less core loss → efficient transformer operation.
Explanation:
Larger area in B-H loop → more energy lost per cycle.
Q495. Magnetic field intensity (H) in a core of length 0.5 m with 250 At MMF is:
A. 500 A/m
B. 125 A/m
C. 5 A/m
D. 250 A/m
Explanation:
H = MMF / l = 250 / 0.5 = 500 A/m
Explanation:
Air’s permeability is nearly that of free space → high reluctance.
Answer: C. Increase
Explanation:
R ∝ length → longer path = higher reluctance.
Explanation:
B = Φ / A → Flux density.
Explanation:
Transformers transfer energy via mutual inductance between primary and secondary windings.
Explanation:
In the analogy between electric and magnetic circuits:
Electric current ↔ Magnetic flux
Voltage ↔ MMF
Resistance ↔ Reluctance
Q502. A magnetic circuit has a flux of 2 mWb and a cross-sectional area of 0.001 m². What
is the flux density?
A. 1 T
B. 2 T
C. 200 T
D. 0.2 T
Answer: B. 2 T
Explanation:
B = Φ / A = (2 × 10⁻³) / (0.001) = 2 Tesla
Answer: D. Motor
Explanation:
An electric motor uses magnetic fields to create torque and rotate a shaft → converting
electromagnetic energy to mechanical energy.
Explanation:
The energy lost per cycle in a magnetic material is proportional to the area enclosed by the
hysteresis loop.
Q505. If the flux in a coil changes from 0.05 Wb to 0.01 Wb in 0.01 seconds, and the coil
has 200 turns, the average induced EMF is:
A. 800 V
B. 600 V
C. 400 V
D. -800 V
Answer: D. -800 V
Explanation:
EMF = -N × (ΔΦ/Δt) = -200 × (0.01 - 0.05)/0.01 = -200 × (-4) = 800 V (negative sign shows
direction by Lenz’s Law)
Explanation:
Even under no-load, a transformer draws a small magnetizing current to establish the alternating
magnetic flux in the core.
Explanation:
L ∝ N² → doubling turns quadruples the inductance.
Explanation:
Reluctance R = l / (μA), depends on material’s permeability, length, and cross-sectional area.
Answer: C. Henry
Explanation:
Both self and mutual inductance are measured in Henry (H).
Explanation:
Power (P) = Torque × Angular Speed → used in motors and generators.
Q511. Transformer cores are laminated to reduce:
A. Hysteresis loss
B. Core weight
C. Eddy current loss
D. Flux density
Explanation:
Thin laminations reduce circulating currents within the core → lower eddy current losses.
Q512. What happens to flux when MMF is constant but core permeability decreases?
A. Flux increases
B. Flux decreases
C. Flux remains constant
D. Flux becomes zero
Explanation:
Φ = MMF / Reluctance → lower permeability → higher reluctance → lower flux.
Q513. Magnetic materials with narrow hysteresis loops are preferred for:
A. Permanent magnets
B. Relay coils
C. Transformer cores
D. Motors
Explanation:
Narrow hysteresis loop = low hysteresis loss → ideal for transformers and AC magnetic devices.
Q515. Which law states the total magnetic flux out of a closed surface is zero?
A. Faraday’s Law
B. Lenz’s Law
C. Gauss’s Law for Magnetism
D. Ampere’s Law
Explanation:
Gauss’s law for magnetism: net magnetic flux through a closed surface is always zero → flux
lines are continuous.
Answer: B. Double
Explanation:
B = Φ / A → if A halves and Φ is constant → B doubles.
Q517. In practical transformer cores, the magnetic path is made closed to:
A. Reduce current
B. Avoid losses
C. Minimize air gap and flux leakage
D. Increase temperature
Explanation:
Closed magnetic paths reduce leakage and maximize flux linkage.
Q518. When a magnetic material is magnetized, which atomic property aligns?
A. Electrons' mass
B. Nucleus spin
C. Electron spin and orbital motion
D. Atomic weight
Explanation:
Magnetism arises from aligned magnetic moments caused by electrons’ spin and orbit.
Explanation:
L = induced EMF / (di/dt) → unit: Henry
Explanation:
Complete magnetic coupling (no leakage) gives maximum mutual inductance.
Explanation:
Core loss = hysteresis + eddy current losses → depend on voltage, frequency, material, but not
on load.
Answer: D. Wb/m
Explanation:
Magnetic vector potential has units of Wb/m (weber per meter)
Q524. Which of the following factors will reduce both eddy current and hysteresis loss?
A. Using soft magnetic materials
B. Using air cores
C. Using cast iron cores
D. Using long winding
Explanation:
Soft materials have narrow hysteresis and high resistivity → lower both core losses.
Q525. A coil has a reluctance of 10000 At/Wb and MMF of 500 At. What is the flux?
A. 50 Wb
B. 0.05 Wb
C. 2 Wb
D. 5 Wb
Answer: B. 0.05 Wb
Explanation:
Φ = MMF / R = 500 / 10000 = 0.05 Wb
Answer: B. Henry/m
Explanation:
Permeability μ = B/H and has the unit of Henry per meter (H/m).
Answer: B. Zero
Explanation:
Ideal magnetic material has no hysteresis loop → no energy loss → W = 0.
Q529. The energy stored per unit volume in a magnetic field is:
A. ½ × B × H
B. ½ × L × I²
C. B / H
D. μ × B × H
Answer: A. ½ × B × H
Explanation:
Energy density = ½ × B × H (in J/m³)
Q530. The type of magnetic material best suited for making electromagnets is:
A. Hard magnetic material
B. Soft magnetic material
C. Paramagnetic material
D. Ferromagnetic with high coercivity
Explanation:
Soft materials magnetize/demagnetize easily → used in electromagnets.
Q531. In magnetic materials, retentivity and coercivity are properties related to:
A. Electric field
B. Hysteresis
C. Capacitance
D. Magnetostriction
Answer: B. Hysteresis
Explanation:
Retentivity = residual magnetism
Coercivity = field required to demagnetize → both are from B-H curve
Q532. What happens to magnetic flux in a closed core transformer when the load is
disconnected?
A. Flux becomes zero
B. Flux increases
C. Flux remains constant
D. Flux decreases to half
Explanation:
Core flux is maintained by the magnetizing current regardless of load.
Answer: B. Current
Explanation:
Inductor resists change in current due to induced EMF (Lenz’s Law).
Answer: C. Wb-turns
Explanation:
Flux linkage λ = N × Φ → unit = Weber-turns
Explanation:
EMF = -dΦ/dt or -N × dΦ/dt
Explanation:
M ∝ k × √(L1 × L2), where k depends on distance, core, and orientation.
Explanation:
No changing flux → no induced EMF → transformer requires AC.
Q538. If current in a coil increases, the magnetic energy stored in the coil:
A. Decreases
B. Increases
C. Remains unchanged
D. Becomes zero
Answer: B. Increases
Explanation:
W = ½ × L × I² → increase in I increases energy.
Q539. Which of the following devices uses the principle of electromagnetic induction?
A. Thermistor
B. Transformer
C. Resistor
D. Capacitor
Answer: B. Transformer
Explanation:
Transformer works on Faraday’s law → mutual induction
Explanation:
Good magnetic path with minimal residual magnetism and high μ.
Answer: C. Resistance
Explanation:
Just like resistance opposes current, reluctance opposes flux.
Explanation:
Φ = MMF / R = (N × I) / (l / μA)
Explanation:
Higher μ → higher L (inductance)
Q545. If the frequency is doubled in a transformer, the eddy current loss will:
A. Remain same
B. Be halved
C. Double
D. Increase four times
Explanation:
Eddy current loss ∝ f²
Explanation:
Mutual induction is the principle behind transformer operation.
Answer: D. Using higher core area and material with high permeability
Explanation:
To avoid saturation, use larger area and high μ core.
Explanation:
Magnetic cores concentrate and guide the magnetic flux.
Q549. When a coil is placed in a changing magnetic field, EMF is induced due to:
A. Coulomb force
B. Faraday’s law
C. Hall effect
D. Lorentz force
Explanation:
Electromechanical conversion occurs due to Lorentz force or induced EMF from magnetic field
interacting with current.
Explanation:
The area of the hysteresis loop indicates the energy loss per magnetic cycle due to magnetization
reversal, typically measured in J/m³.
Explanation:
Materials with high retentivity retain a significant amount of magnetism after removal of
magnetizing force — ideal for permanent magnets.
Q553. In a transformer, the function of the core is to:
A. Carry current
B. Reduce eddy currents
C. Provide mechanical support
D. Provide low reluctance path for magnetic flux
Explanation:
The core, usually made of high-permeability material, helps in efficient flux linkage between
primary and secondary windings.
Q554. Which law states that the induced EMF is proportional to the rate of change of
magnetic flux?
A. Ampere’s Law
B. Gauss’s Law
C. Lenz’s Law
D. Faraday’s Law
Explanation:
Faraday’s law of electromagnetic induction defines EMF as proportional to the time rate of
change of magnetic flux.
Q555. In a magnetic circuit, the quantity analogous to voltage in an electrical circuit is:
A. Magnetic field strength
B. Flux
C. Magnetomotive force (MMF)
D. Flux density
Explanation:
Just as voltage drives current in electric circuits, MMF drives flux in magnetic circuits.
Explanation:
Reluctance R=lμAR = \frac{l}{\mu A}R=μAl, where increasing length (l) increases reluctance.
Q557. Which of the following statements is true for eddy current loss?
A. It is proportional to the square of frequency
B. It is proportional to the square of voltage
C. It is independent of the material
D. It is zero in iron cores
Explanation:
Eddy current loss Pe∝f2B2t2P_e \propto f^2 B^2 t^2Pe∝f2B2t2, where f is frequency, B is flux
density, and t is thickness.
Q558. When a coil is moved in a magnetic field, an EMF is induced due to:
A. Static magnetic field
B. Relative motion between coil and flux
C. Constant flux
D. High resistance
Explanation:
Relative motion leads to a change in magnetic linkage, inducing EMF as per Faraday’s law.
Answer: B. Gauss
Explanation:
In CGS system, 1 Tesla = 10,000 Gauss.
Q560. Which material among the following has the least hysteresis loss?
A. Hard steel
B. Ferrite
C. Soft iron
D. Cast iron
Explanation:
Soft iron has low coercivity and narrow hysteresis loop → low energy loss.
Q561. Which of the following quantities does NOT affect magnetic flux in a magnetic
circuit?
A. MMF
B. Reluctance
C. Resistance
D. Permeability
Answer: C. Resistance
Explanation:
Magnetic circuits do not involve electrical resistance; instead, reluctance governs the flux.
Answer: C. Copper
Explanation:
Copper is electrically conductive but has no magnetic properties — it is non-magnetic.
Q563. The EMF induced in a conductor is maximum when the conductor moves:
A. Parallel to the magnetic field
B. At 45° to the magnetic field
C. Perpendicular to the magnetic field
D. In a constant magnetic field
Explanation:
Maximum EMF occurs when motion is at 90° to magnetic field lines: e=B⋅l⋅v⋅sin(θ)e = B
\cdot l \cdot v \cdot \sin(\theta)e=B⋅l⋅v⋅sin(θ), maximum at θ = 90°.
Explanation:
Linear B-H curve ensures proportionality and predictable magnetization.
Explanation:
Even at no load, magnetizing current flows to establish alternating flux in the core.
Q566. What is the relation between magnetic flux (Φ), flux density (B), and area (A)?
A. B = Φ × A
B. Φ = B × A
C. A = B / Φ
D. Φ = B / A
Answer: B. Φ = B × A
Explanation:
Flux is the total magnetic field through area A: Φ = B × A
Explanation:
Relays use electromagnetic force to mechanically operate contacts.
Explanation:
After a certain MMF, the material cannot support more flux → saturation.
Answer: C. Parallel
Explanation:
In magnetized ferromagnetic material, domains align parallel to create net magnetism.
Q570. The product of magnetic field (B) and length (l) gives:
A. EMF
B. Magnetic moment
C. Magnetic force
D. Magnetic flux
Explanation:
Flux = B × A; if l represents width in this case → Φ = B × l × width
Explanation:
Flux follows the path of least reluctance → high μ materials.
Explanation:
Reluctance = MMF / flux → unit is Ampere-turn per Weber (At/Wb)
Explanation:
e = B × l × v × sinθ → depends on B, l, v
Q575. The loss which occurs due to re-alignment of molecular magnets is called:
A. Eddy current loss
B. Copper loss
C. Core loss
D. Hysteresis loss
Explanation:
Reorientation of magnetic domains in every cycle consumes energy → hysteresis loss.
Answer: A. B/H
Explanation:
Permeability μ is the ratio of magnetic flux density (B) to magnetic field strength (H), i.e., μ =
B/H.
Answer: A. Retentivity
Explanation:
Retentivity is the ability of a material to retain magnetic flux after the magnetizing force is
removed.
Explanation:
Hopkinson’s law: MMF = Φ × Reluctance, analogous to Ohm’s law: V = I × R.
Explanation:
Soft iron has very high magnetic permeability, allowing it to carry magnetic flux efficiently.
Q580. The induced EMF in a conductor moving in a magnetic field is maximum when the
angle between field and motion is:
A. 0°
B. 90°
C. 45°
D. 180°
Answer: B. 90°
Explanation:
e = B × l × v × sinθ → maximum when sinθ = 1, i.e., θ = 90°.
Explanation:
Reluctance opposes magnetic flux like resistance opposes electric current.
Answer: B. Frequency
Explanation:
Hysteresis loss ∝ frequency × area of hysteresis loop.
Answer: C. Weber
Explanation:
1 Weber (Wb) = unit of magnetic flux in the SI system.
Q584. Which type of core is used to reduce hysteresis and eddy current losses in
transformers?
A. Wooden core
B. Laminated silicon steel core
C. Cast iron core
D. Carbon core
Explanation:
Silicon steel reduces hysteresis loss; lamination reduces eddy currents.
Q585. Which material is preferred for transformer core to reduce eddy current loss?
A. Hard steel
B. Soft iron
C. Laminated core
D. Aluminum
Explanation:
Laminated cores interrupt eddy current paths → reduce loss.
Answer: C. Resistance
Explanation:
Resistance is from electric circuits; reluctance is its magnetic equivalent.
Explanation:
H = MMF / length → unit: A/m
Explanation:
High hysteresis loss → high retentivity → permanent magnet.
Explanation:
Inside a magnet, flux travels from South to North pole.
Answer: B. ½ × L × I²
Explanation:
Magnetic energy stored = (1/2) × inductance × current²
Answer: B. l / (μ × A)
Explanation:
Reluctance R = length / (permeability × area)
Explanation:
Mutual inductance is influenced by N, spacing, orientation, and core.
Answer: B. Narrow
Explanation:
Narrow B-H loop → less hysteresis loss → soft material.
Explanation:
Saturation implies flux cannot increase significantly despite increase in MMF.
Explanation:
Mutual induction between coils is governed by Faraday’s Law.
Explanation:
Φ = MMF / Reluctance → Higher μ → Lower R → More flux
Q599. When two coils are magnetically coupled, the EMF in one coil due to change in
current in the other is called:
A. Self-induced EMF
B. Mutual induced EMF
C. Back EMF
D. Static EMF
Explanation:
EMF induced in one coil due to changing current in the other → mutual induction.
Q600. The property of a material to oppose the flow of magnetic flux is called:
A. Permeance
B. Inductance
C. Reluctance
D. Resistance
Answer: C. Reluctance
Explanation:
Reluctance is magnetic opposition analogous to electrical resistance.
Explanation:
The commutator mechanically rectifies the alternating EMF generated in the armature into
unidirectional (D.C.) voltage.
Q603. The type of winding in a D.C. machine suitable for low voltage and high current is:
A. Lap winding
B. Wave winding
C. Progressive winding
D. Retrogressive winding
Explanation:
Lap winding provides more parallel paths → used for high current, low voltage applications.
Answer: A. E = (PϕZN)/60A
Explanation:
Where E = generated EMF, P = no. of poles, ϕ = flux/pole, Z = total armature conductors, N =
speed (rpm), A = parallel paths.
Q605. In a D.C. machine, the armature core is laminated to:
A. Reduce hysteresis loss
B. Reduce eddy current loss
C. Reduce copper loss
D. Reduce mechanical vibrations
Explanation:
Laminating the armature increases resistance to eddy currents, minimizing eddy current loss.
Explanation:
Torque T∝Φ⋅IaT \propto \Phi \cdot I_aT∝Φ⋅Ia → for constant flux, T ∝ Iₐ
Explanation:
Armature reaction causes distortion and weakening of the main field flux due to the armature's
magnetic field.
Explanation:
In cumulative compounding, both series and shunt windings assist each other → combining
features of both.
Answer: A. N ∝ V / ϕ
Explanation:
Speed equation for D.C. motor: N=(V−IaRa)/(kϕ)N = (V - I_a R_a) / (kϕ)N=(V−IaRa)/(kϕ) → N
∝ V/ϕ
Explanation:
Adding resistance drops armature voltage → reduces speed below base level.
Explanation:
Speed ∝ V / ϕ → if ϕ increases, speed decreases.
Q612. Which of the following motors is best suited for constant speed applications?
A. Series motor
B. Shunt motor
C. Compound motor
D. Universal motor
Explanation:
Shunt motor has nearly constant speed due to constant field flux.
Explanation:
Back EMF acts against the applied voltage as per Lenz's law and regulates the motor current.
Explanation:
Maximum power occurs when E = V/2, but it's inefficient and not used practically.
Explanation:
In differential motors, increased load reduces flux → increases speed dangerously → unsuitable
for fluctuating loads.
Explanation:
Series motor has high starting torque → best suited for traction like trains, cranes, etc.
Explanation:
At no load, series motor speeds up dangerously due to absence of opposing torque → may cause
damage.
Explanation:
Reversing one of them changes the direction; reversing both keeps the same direction.
Q619. In a D.C. generator, residual magnetism is required to:
A. Start EMF generation
B. Increase current
C. Reverse rotation
D. Reduce noise
Explanation:
Residual flux is essential to induce initial EMF in self-excited D.C. generators.
Explanation:
Efficiency is maximum when variable (Cu) and constant (iron + mechanical) losses are equal.
Explanation:
The field is excited using an independent source.
Explanation:
The rotating part of a D.C. machine is the armature, which is mounted on the shaft.
Explanation:
Copper segments insulated with mica form the commutator.
Explanation:
Regenerative braking feeds power back to the supply → E > V is required.
Answer: C. Graphite
Explanation:
Graphite brushes are used due to good conductivity and low friction.
Explanation:
Torque T∝Φ⋅IaT \propto \Phi \cdot I_aT∝Φ⋅Ia, where Φ\PhiΦ is flux per pole and IaI_aIa is
armature current.
Q627. The D.C. motor type that should never be started without load is:
A. Shunt motor
B. Series motor
C. Compound motor
D. Separately excited motor
Explanation:
D.C. series motors can run at dangerously high speeds at no load due to very low field flux.
Explanation:
Interpoles are small auxiliary poles placed between main poles to counteract armature reaction
during commutation.
Explanation:
Series winding compensates for voltage drop due to load, improving voltage regulation.
Q631. The speed control of a D.C. motor by varying field current is called:
A. Armature control
B. Field control
C. Voltage control
D. Current control
Explanation:
In field control method, speed ∝ 1/Φ → reducing field current reduces Φ, thereby increasing
speed.
Q632. In a D.C. motor, when back EMF equals the applied voltage, the armature current
is:
A. Maximum
B. Zero
C. Minimum
D. Infinite
Answer: B. Zero
Explanation:
Ia=V−EbRaI_a = \frac{V - E_b}{R_a}Ia=RaV−Eb → if Eb=VE_b = VEb=V, then Ia=0I_a =
0Ia=0
Q633. The voltage equation of a D.C. motor is:
A. V = E_b - I_a R_a
B. V = E_b + I_a R_a
C. V = E_b / I_a
D. V = I_a / E_b
Explanation:
Applied voltage = back EMF + armature drop → V = E_b + I_a R_a
Q634. The type of D.C. motor used in elevators and cranes is:
A. Shunt motor
B. Series motor
C. Compound motor
D. Universal motor
Explanation:
Compound motors offer high starting torque and better speed regulation → ideal for elevators.
Explanation:
Speed control in D.C. motors is easy and effective over a wide range.
Q637. Which of the following affects the generated EMF in a D.C. generator?
A. Flux per pole
B. Speed of rotation
C. Number of conductors
D. All of the above
Explanation:
E = (PΦZN)/(60A) → EMF depends on P, Φ, Z, N, A
Explanation:
More armature resistance causes more voltage drop → reduces effective armature voltage →
speed drops.
Explanation:
Brush contact loss is a voltage drop at the brush contact → part of electrical losses.
Q640. The purpose of using a diverter across the series field of a compound motor is to:
A. Reduce field flux
B. Increase field flux
C. Bypass armature current
D. Reduce armature reaction
Explanation:
A diverter shunts some current around the series field → reduces total series field flux.
Q641. Which part of a D.C. machine provides the path for the magnetic flux?
A. Commutator
B. Brush
C. Yoke
D. Shaft
Answer: C. Yoke
Explanation:
Yoke completes the magnetic path and provides mechanical strength.
Explanation:
Shunt motors maintain nearly constant speed regardless of load → excellent speed regulation.
Explanation:
Any D.C. motor can work as a generator when its shaft is rotated mechanically.
Q645. If the number of parallel paths (A) in a D.C. generator is increased, the generated
EMF will:
A. Increase
B. Decrease
C. Remain same
D. Become zero
Answer: B. Decrease
Explanation:
E = (PΦZN)/(60A) → if A increases, E decreases.
Answer: D. Commutator
Explanation:
Commutator rectifies A.C. induced in armature into unidirectional D.C. at output.
Q647. For D.C. series motor, the speed-torque characteristic is:
A. Linear
B. Hyperbolic
C. Constant
D. Parabolic
Answer: B. Hyperbolic
Explanation:
Torque ∝ 1/speed → speed-torque curve is hyperbolic for series motors.
Explanation:
Voltage drop = I_a × R_a due to internal resistance of armature winding.
Explanation:
Mechanical losses like friction and windage occur only during rotation.
Explanation:
Back EMF is induced in the armature and acts opposite to the applied voltage, regulating the
armature current.
Q652. Which of the following losses in a D.C. machine is independent of the load?
A. Copper loss
B. Armature loss
C. Hysteresis loss
D. Brush contact loss
Explanation:
Hysteresis loss is a core loss and depends only on frequency and flux density—not on load.
Explanation:
Lap winding has more parallel paths, making it suitable for high-current applications.
Explanation:
Generally, one brush per pole is used, so the number of brushes depends on the number of poles.
Explanation:
Maximum efficiency occurs when variable losses (Cu losses) equal constant losses (core +
friction losses).
Q656. The main cause of sparking at the brushes in a D.C. machine is:
A. Low armature resistance
B. High field flux
C. Poor commutation
D. High terminal voltage
Explanation:
Poor commutation leads to arcing or sparking at the brushes during reversal of current.
Q658. In a D.C. generator, which of the following determines the polarity of the induced
EMF?
A. Number of conductors
B. Speed of rotation
C. Direction of field flux and rotation
D. Field current
Explanation:
By Fleming’s right-hand rule, direction of motion and flux determine the polarity of the induced
EMF.
Answer: B. Decreases
Explanation:
Increased load → more current → drop in back EMF due to increased armature voltage drop.
Explanation:
Field control method controls speed above base speed by varying field resistance → changes
flux.
Q661. In a D.C. machine, the number of parallel paths in wave winding is:
A. Equal to number of poles
B. Always two
C. Equal to number of brushes
D. Equal to number of slots
Explanation:
Wave winding always gives two parallel paths regardless of number of poles.
Q662. If the flux per pole in a D.C. motor is increased, the speed will:
A. Increase
B. Decrease
C. Remain unchanged
D. First increase then decrease
Answer: B. Decrease
Explanation:
N ∝ 1/Φ → if flux increases, speed decreases.
Explanation:
At no load, very little current is drawn and E_b ≈ V.
Q664. For a given load torque, which motor has the highest starting current?
A. D.C. series motor
B. D.C. shunt motor
C. D.C. compound motor
D. Synchronous motor
Explanation:
To avoid very high current at startup (E_b = 0), external resistance is added in armature circuit.
Answer: C. Interpoles
Explanation:
Interpoles are connected in series and cancel the cross-magnetization caused by armature
reaction.
Explanation:
Series motors develop high torque at start → suitable for traction.
Q668. D.C. generator fails to build up voltage at start because of:
A. Absence of residual magnetism
B. Open armature circuit
C. Incorrect brush contact
D. High load
Explanation:
Self-excitation requires residual magnetism for initial EMF generation.
Explanation:
Generated voltage depends on number of armature conductors and their arrangement.
Explanation:
Field winding is energized by D.C. to create a steady magnetic field.
Answer: C. Trapezoidal
Explanation:
Trapezoidal shape provides uniform air gap and better flux distribution.
Q672. In which part of D.C. machine eddy current loss occurs most?
A. Commutator
B. Field winding
C. Armature core
D. Brushes
Explanation:
Rotating armature core is subjected to changing flux → eddy currents develop there.
Explanation:
They balance the current in parallel paths and prevent circulating currents.
Answer: A. T = k × Φ × I_a
Explanation:
Torque is directly proportional to flux and armature current.
Q675. If a D.C. motor runs at over-speed, what could be the possible reason?
A. High load
B. Over-voltage
C. Open field winding
D. Low armature resistance
Explanation:
Open field → no flux → speed ∝ 1/Φ → very high speed (dangerous condition).
Q676. Which part of a D.C. machine carries both armature current and EMF?
A. Field winding
B. Commutator
C. Armature winding
D. Brush
Explanation:
The armature winding is responsible for generating EMF in a generator and carrying armature
current in both generator and motor.
Explanation:
In a shunt motor, the field winding is connected in parallel (shunt) to the armature winding.
Answer: C. Interpoles
Explanation:
Interpoles are placed between main poles to neutralize the reactance voltage during
commutation, improving brush performance.
Explanation:
Compensating windings produce a magnetic field opposite to that of the armature to reduce its
distorting effects.
Explanation:
Both D.C. generators and motors operate based on Faraday’s law of electromagnetic induction.
Explanation:
Shunt winding carries small current, hence many turns of high-resistance, thin wire are used.
Q682. The power input to a D.C. motor is equal to:
A. Mechanical power output
B. Back EMF × Armature current
C. Terminal voltage × Armature current
D. Field power
Explanation:
Input power = V × I_a, part of it is converted to mechanical, the rest goes to losses.
Answer: D. Commutator
Explanation:
The commutator consists of copper segments insulated from each other using mica.
Q684. For a D.C. motor, the condition for maximum power is:
A. Back EMF = Supply voltage
B. Armature current = Zero
C. Back EMF = Half of supply voltage
D. Armature resistance = Zero
Explanation:
Maximum mechanical power output occurs when E_b = V/2, although this is not practical due to
efficiency and heat concerns.
Q685. Which D.C. motor is most suitable for applications requiring constant speed?
A. Series motor
B. Shunt motor
C. Differential compound motor
D. Universal motor
Answer: B. Shunt motor
Explanation:
Shunt motor maintains nearly constant speed across varying loads.
Q686. In a D.C. compound motor, if the series field opposes the shunt field, it is called:
A. Differential compound motor
B. Cumulative compound motor
C. Universal motor
D. Separately excited motor
Explanation:
If series and shunt fields oppose each other, the motor is said to be differentially compounded.
Answer: C. Yoke
Explanation:
Field poles are fixed to the yoke, which forms the outer frame of the machine.
Answer: B. Decreases
Explanation:
Load causes more current draw → increased voltage drop → slightly reduced speed.
Q689. Which winding is preferred in high voltage, low current machines?
A. Lap winding
B. Wave winding
C. Series winding
D. Field winding
Explanation:
Wave winding has fewer parallel paths → suitable for high voltage, low current.
Explanation:
Dielectric loss is associated with capacitors or insulation in AC systems—not applicable in D.C.
machines.
Explanation:
Self-excitation depends on residual magnetism for initial voltage buildup.
Q692. Which material is commonly used for brushes in small D.C. machines?
A. Steel
B. Brass
C. Carbon
D. Aluminium
Answer: C. Carbon
Explanation:
Carbon brushes are used for their low friction, good conductivity, and self-lubricating properties.
Q693. In a 4-pole D.C. machine with wave winding, how many parallel paths are there?
A. 4
B. 2
C. 1
D. 8
Answer: B. 2
Explanation:
Wave winding always has 2 parallel paths, regardless of the number of poles.
Explanation:
Dummy coils are non-functional coils used to maintain symmetry when actual winding is not
feasible.
Q695. A D.C. machine that supplies constant voltage over a wide load range is:
A. Shunt generator
B. Series generator
C. Differential compound generator
D. Cumulative compound generator
Explanation:
In cumulative compound generators, voltage drop due to load is compensated by series field rise
→ good voltage regulation.
Q696. Torque developed by a D.C. motor is:
A. Inversely proportional to armature current
B. Directly proportional to field flux
C. Independent of field flux
D. Constant
Explanation:
T ∝ Φ × I_a → torque increases with flux.
Q697. If the speed of a D.C. motor is doubled, what happens to back EMF (assuming
constant flux)?
A. Doubles
B. Becomes half
C. Remains unchanged
D. Triples
Answer: A. Doubles
Explanation:
E_b ∝ N when flux is constant → doubling speed doubles E_b.
Q698. Which method is NOT used to control the speed of a D.C. motor?
A. Field control
B. Armature resistance control
C. Changing number of poles
D. Voltage control
Explanation:
Changing poles is not practical or common for speed control; other methods are standard.
Explanation:
Correct brush position (along magnetic neutral axis) ensures spark-free commutation.
Q700. The losses in a D.C. machine that vary with load are:
A. Iron and friction losses
B. Mechanical and stray losses
C. Copper losses
D. Core losses
Explanation:
Copper losses (I²R) vary with load current, unlike iron and mechanical losses which are constant.
Explanation:
The commutator ensures unidirectional torque by reversing current in each coil when it passes
through the magnetic neutral axis.
Q702. Which of the following machines can be used as both generator and motor?
A. D.C. shunt machine
B. Induction motor
C. Transformer
D. Synchronous motor
Explanation:
A D.C. shunt machine can operate as a motor when powered and as a generator when
mechanically driven.
Q703. The magnetic neutral axis (MNA) in a D.C. machine is the axis:
A. Perpendicular to brush axis
B. Along the axis of main poles
C. Where no EMF is induced in armature conductors
D. Where flux density is maximum
Explanation:
The MNA is the axis along which conductors move parallel to the flux → no EMF induced.
Explanation:
The magnetic field produced by armature current distorts and weakens the main field, especially
under load.
Answer: B. Decreases
Explanation:
Increased load → more current drawn → more voltage drop → slightly reduced speed in
shunt/compound motors.
Explanation:
Higher field current → more flux per pole → more EMF generated (E ∝ Φ).
Explanation:
Dummy coils are inserted in wave winding when the required coil configuration doesn’t allow
symmetrical winding.
Explanation:
Iron losses (eddy current and hysteresis) occur in the armature core due to its rotation in the
magnetic field.
Q709. The D.C. motor that gives nearly constant speed is:
A. Series motor
B. Shunt motor
C. Compound motor
D. Universal motor
Explanation:
Back EMF × Armature current = mechanical power developed in the motor.
Explanation:
Cumulatively compounded generator offers good voltage regulation → nearly flat voltage-load
curve.
Explanation:
Series motors produce high starting torque due to high initial current and flux.
Q713. The effect of armature reaction can be minimized by using:
A. Pole shoes
B. Carbon brushes
C. Interpoles and compensating winding
D. Field resistance
Explanation:
They counteract the distorting effects of armature reaction, improving performance.
Explanation:
N denotes the speed of armature rotation in revolutions per minute (rpm).
Explanation:
Field winding carries current and produces the main magnetic field across air gap.
Explanation:
Lap winding offers more parallel paths → suits high current loads.
Explanation:
Reversing one (not both) changes rotation direction (per Fleming’s left-hand rule).
Q719. Which of the following is used to limit starting current in a D.C. motor?
A. Starting resistor
B. Commutator
C. Brush holder
D. Pole shoe
Explanation:
Added to the armature circuit to avoid very high starting current when E_b = 0.
Explanation:
Shunt generators provide stable voltage → best suited for battery charging.
Explanation:
It carries the entire armature current → needs low resistance, hence thick wire.
Explanation:
This ensures minimum EMF during commutation → spark-free operation.
Answer: C. Stator
Explanation:
Field winding is fixed and placed on the stator (poles), while armature rotates.
Explanation:
Speed N ∝ (V - I_a R_a) / Φ → increase in V causes speed to rise.
Explanation:
Maximum efficiency condition is when variable losses (mainly copper losses) equal constant
losses (iron + mechanical).
Explanation:
Back EMF opposes the applied voltage and regulates armature current.
Q728. The type of D.C. motor suitable for conveyor belts is:
A. Series motor
B. Shunt motor
C. Cumulative compound motor
D. Differential compound motor
Explanation:
Conveyor belts require constant speed regardless of load → shunt motor is ideal.
Explanation:
Without a starter, there's no initial resistance → large inrush current as back EMF is zero at start.
Explanation:
T ∝ Φ × Iₐ → both factors directly affect developed torque.
Answer: C. Armature
Explanation:
In a generator, rotating the armature within a magnetic field induces EMF → converts
mechanical to electrical energy.
Answer: C. Lathes
Explanation:
Lathes need constant speed; series motors have poor speed regulation and hence are unsuitable.
Q734. In a D.C. motor, the back EMF is maximum when:
A. Motor is starting
B. Motor is under full load
C. Motor is running at no load
D. Motor is stopped
Explanation:
At no load, speed is highest → back EMF (E_b ∝ N) is maximum.
Explanation:
Pole shoes enlarge the area of flux distribution and support field windings.
Explanation:
Series motor has flux proportional to current. At no load, current is low → flux drops → speed
becomes dangerously high.
Explanation:
Current through field winding generates the stationary magnetic field in a D.C. machine.
Q738. In speed control of a D.C. motor, field control method is used for:
A. Speed reduction only
B. Speed increase only
C. Both speed increase and decrease
D. Constant speed
Explanation:
Field control weakens the field → reduces flux → increases speed (N ∝ 1/Φ).
Answer: B. Increases
Explanation:
T ∝ Φ × Iₐ → increasing Iₐ increases torque (assuming constant flux).
Explanation:
To minimize sparking, brushes are positioned where no EMF is induced: along the magnetic
neutral axis.
Q741. Which of the following is constant in a D.C. series motor under varying loads?
A. Flux
B. Speed
C. Armature current
D. None of these
Explanation:
In a series motor, both current and flux vary with load → speed also changes.
Explanation:
Mechanical losses are due to friction in bearings, air resistance (windage), etc.
Q743. In a D.C. machine, which winding is used for high current applications?
A. Lap winding
B. Wave winding
C. Shunt winding
D. Series winding
Explanation:
Lap winding provides more parallel paths → suitable for high current, low voltage operation.
Q744. Which winding is used in low current, high voltage D.C. machines?
A. Lap winding
B. Series winding
C. Wave winding
D. Shunt winding
Answer: A. Copper
Explanation:
Copper is used for its excellent electrical conductivity.
Answer: A. Newton-meter
Explanation:
Torque is the rotational equivalent of force × radius → unit is N·m.
Q747. Which loss in a D.C. machine varies with the square of the current?
A. Hysteresis loss
B. Eddy current loss
C. Copper loss
D. Mechanical loss
Explanation:
Copper loss = I²R → varies directly with the square of current.
Explanation:
At full load, armature current is maximum → armature reaction is strongest.
Explanation:
Commutators and brushes require regular maintenance and are a common point of failure.
Explanation:
Due to its good speed regulation, a shunt motor runs at nearly the same speed regardless of load.
Answer: C. Armature
Explanation:
The armature is the rotating part that interacts with the magnetic field and carries the armature
winding.
Q752. A D.C. machine will fail to generate if:
A. Field winding is short-circuited
B. Brushes are properly set
C. Residual magnetism is present
D. Speed is increased beyond rated
Explanation:
A short-circuited field winding prevents buildup of field current, hence no EMF generation.
Answer: B. Yoke
Explanation:
The yoke provides mechanical support and completes the magnetic circuit; it doesn’t carry
current.
Explanation:
Lamination increases electrical resistance of the core, reducing eddy current losses.
Q755. Which of the following is the main advantage of a compound generator over a shunt
generator?
A. Better voltage regulation
B. Lower armature resistance
C. Higher efficiency
D. Less maintenance
Explanation:
Compound generators combine the features of series and shunt generators, improving voltage
regulation under load.
Explanation:
Series motors offer high starting torque, which is essential for traction applications.
Explanation:
Interpoles provide necessary EMF to neutralize reactance voltage during commutation.
Q759. In which winding are the number of parallel paths always two?
A. Lap winding
B. Wave winding
C. Series winding
D. Compound winding
Explanation:
Wave winding always results in two parallel paths, regardless of the number of poles.
Explanation:
Correct placement of brushes on magnetic neutral axis along with interpoles ensures sparkless
commutation.
Q761. Which part of the D.C. motor converts electrical energy to mechanical energy?
A. Field winding
B. Commutator
C. Armature
D. Shaft
Answer: C. Armature
Explanation:
The armature carries current in a magnetic field and develops torque, thus converting electrical
to mechanical energy.
Q762. When a D.C. motor is loaded, its speed:
A. Increases significantly
B. Remains exactly constant
C. Drops slightly
D. Becomes zero
Explanation:
Under load, armature current increases, leading to more voltage drop → slight reduction in speed
(especially in shunt motors).
Q763. Which method of speed control in D.C. motor is best suited for speeds above the
rated value?
A. Armature control
B. Field control
C. Voltage control
D. Resistance control
Explanation:
By reducing field flux (via field resistance), speed increases above base speed (N ∝ 1/Φ).
Q764. In a D.C. motor, the current through the armature depends on:
A. Field winding resistance
B. Back EMF and armature resistance
C. Field current
D. Brush contact area
Explanation:
Armature current Ia=V−EbRaI_a = \frac{V - E_b}{R_a}Ia=RaV−Eb
Explanation:
Lap winding has more parallel paths → suitable for high current applications.
Explanation:
Mechanical power = back EMF × armature current
Answer: D. Either A or B
Explanation:
Reversing either armature or field current changes the direction of rotation (but not both
together).
Explanation:
These losses are independent of load → hence constant.
Q769. The torque in a D.C. motor is given by:
A. T ∝ V × I
B. T ∝ I²
C. T ∝ Φ × I_a
D. T ∝ E_b × Φ
Answer: C. T ∝ Φ × I_a
Explanation:
Torque is proportional to the product of flux per pole and armature current.
Q770. Which of the following is used in D.C. machine design to maintain mechanical
balance?
A. Dummy coils
B. Equalizer rings
C. Shunt winding
D. Interpoles
Explanation:
Dummy coils are inactive conductors inserted to maintain mechanical symmetry of armature.
Explanation:
Condition for maximum efficiency is when copper losses equal iron + mechanical losses.
Explanation:
Lack of lubrication increases friction in bearings, causing mechanical failure.
Explanation:
Carbon brushes with high resistance help limit current peaks during commutation, minimizing
sparking.
Q774. When two similar D.C. shunt generators are running in parallel, equalizing
connection is used to:
A. Balance the load
B. Avoid circulating currents
C. Increase voltage
D. Maintain temperature
Explanation:
Equalizing bar ensures proper load sharing between parallel generators.
Answer: B. Decrease
Explanation:
Speed N ∝ 1/Φ → increasing field current increases flux → speed drops.
Q776. What will happen if the field winding of a D.C. shunt motor opens while running?
A. Speed will decrease
B. Motor will stop
C. Speed will increase dangerously
D. Armature will reverse
Explanation:
Loss of field current reduces flux (Φ ↓), and since N ∝ 1/Φ, speed increases rapidly →
dangerous for the motor.
Q777. In a D.C. motor, armature reaction distorts the main field and:
A. Decreases generated torque
B. Reduces back EMF
C. Shifts the magnetic neutral axis
D. Increases current
Explanation:
The armature's own flux distorts the main field, causing a shift in the neutral axis → poor
commutation.
Explanation:
Lap winding has multiple parallel paths → suitable for high current, low voltage applications.
Explanation:
This weakening of the net field reduces torque with load → causing poor speed regulation.
Explanation:
Interpoles neutralize reactance EMF during commutation and minimize sparking at brushes.
Q781. The speed of a D.C. series motor under light load condition:
A. Becomes zero
B. Remains constant
C. Becomes dangerously high
D. Increases slightly
Explanation:
At light load, armature current and field flux decrease, so speed (N ∝ 1/Φ) increases abnormally.
Explanation:
Copper loss varies with load current (I²R) and hence is a variable loss.
Q783. The speed of a D.C. motor is inversely proportional to:
A. Armature current
B. Terminal voltage
C. Field flux
D. Number of commutator segments
Explanation:
Speed N ∝ (V - IₐRₐ) / Φ → inversely proportional to flux.
Q784. In a cumulatively compounded D.C. motor, the series and shunt fields:
A. Oppose each other
B. Assist each other
C. Are not connected
D. Have no effect on each other
Explanation:
Cumulative compounding means both fields are aiding → better performance under load.
Answer: C. Copper
Explanation:
Copper is used for its high conductivity, and segments are insulated using mica.
Q786. Which of the following losses does NOT occur in the armature core?
A. Hysteresis loss
B. Eddy current loss
C. Friction loss
D. Copper loss
Explanation:
Applied voltage = back EMF + armature voltage drop.
Explanation:
Brushes maintain electrical contact with rotating commutator to allow current flow.
Explanation:
In series motors, the same current flows through both armature and field windings.
Explanation:
Dummy coils are inserted to maintain mechanical balance when winding symmetry cannot be
achieved.
Explanation:
Flux Φ ∝ I_f (in unsaturated magnetic circuits).
Explanation:
In shunt motors, speed can be easily controlled by adjusting field or armature voltage.
Q794. Which of the following windings has more number of parallel paths?
A. Wave winding
B. Lap winding
C. Shunt winding
D. Series winding
Explanation:
Lap winding has as many parallel paths as the number of poles → suited for high current.
Explanation:
Reversing either field or armature current changes rotation direction.
Q796. The best speed control for below rated speed in D.C. motor is:
A. Armature control
B. Field control
C. Voltage control
D. Flywheel control
Explanation:
Armature control uses series resistance → effective for reducing speed below rated.
Q797. The load sharing between D.C. generators running in parallel is controlled by:
A. Brush shift
B. Interpole winding
C. Series field strength
D. Yoke size
Explanation:
Adjusting the series field affects voltage characteristics and load sharing.
Explanation:
Mechanical losses come from friction (bearings, brushes) and air resistance (windage).
Explanation:
Copper loss ∝ I²R → increases rapidly with armature current (i.e., load).
Q800. Which of the following speed control methods is suitable for obtaining speeds below
the rated speed in D.C. shunt motors?
A. Field control method
B. Voltage control method
C. Armature resistance control method
D. Transformer tap changing method
Explanation:
In D.C. shunt motors, speed below rated value is achieved using the armature resistance
control method, where external resistance is inserted in the armature circuit. This causes voltage
drop across the resistance, reducing effective voltage and speed.
(Field control increases speed; voltage control is expensive; transformer tap changing is
irrelevant for D.C. motors.)
Explanation:
A transformer transfers electrical energy between two circuits through electromagnetic
induction, primarily to step up or step down A.C. voltage.
Explanation:
Laminated silicon steel reduces eddy current losses and offers high permeability, improving
efficiency.
Q803. Which part of the transformer carries no electrical current but plays a major role in
energy transfer?
A. Windings
B. Core
C. Oil
D. Insulation
Answer: B. Core
Explanation:
The transformer core provides a low-reluctance path for magnetic flux linking the primary and
secondary windings but doesn’t carry electrical current.
Q804. The EMF equation of a single-phase transformer is given by:
A. E = 4.44 f N A
B. E = 4.44 f N Φ
C. E = 2.22 f N Φ
D. E = N Φ / t
Answer: B. E = 4.44 f N Φ
Explanation:
Where E = induced EMF, f = frequency, N = number of turns, Φ = maximum flux in Weber.
Q805. In a transformer, the windings are insulated from each other by:
A. Core material
B. Oil
C. Mica or paper insulation
D. Steel laminations
Explanation:
Paper, cloth, or mica is used to insulate windings to prevent short circuits between turns.
Explanation:
An ideal transformer has no losses, so input power = output power.
Explanation:
Laminations increase resistance to eddy currents, thus reducing power losses in the core.
Explanation:
No-load current is small and supplies core losses and magnetizing current.
Explanation:
Transformers rely on mutual induction to transfer energy between primary and secondary coils.
Explanation:
Copper loss = I²R loss in windings, which varies with load current.
Q811. The efficiency of a transformer is maximum when:
A. Copper loss > Iron loss
B. Iron loss = Copper loss
C. Copper loss < Iron loss
D. Copper loss = 0
Explanation:
Transformer efficiency is maximum when variable loss equals constant loss.
Explanation:
Core losses (eddy current and hysteresis) are constant as they depend on voltage and frequency.
Explanation:
Primary receives input power from the A.C. source; secondary delivers to load.
Explanation:
100% efficiency implies that there are no losses and power is fully transferred.
Explanation:
It shows how much voltage drops when full-load is applied, expressed in %.
Q817. Transformer efficiency at full load is 95%. What does this mean?
A. 95% of current is lost
B. 5% of voltage is dropped
C. 95% of input power is delivered to load
D. Output power is 5% more than input
Explanation:
Efficiency = Output / Input × 100 → 95% efficiency means 5% losses.
Explanation:
Open-circuit test is done on the low-voltage side to measure iron losses.
Answer: B. 230V
Explanation:
In step-down mode, 230V is applied to primary to get 115V at secondary.
Q820. Load power factor affects which transformer parameter the most?
A. Hysteresis loss
B. No-load current
C. Voltage regulation
D. Core saturation
Explanation:
At low power factor, voltage drop increases → poorer voltage regulation.
Answer: D. 95–99%
Explanation:
Good quality power transformers have very high efficiency, usually above 95%.
Answer: C. Frequency
Explanation:
A transformer works only with A.C., and frequency remains the same across primary and
secondary.
Explanation:
Larger B-H loop area → more hysteresis loss; depends on material used.
Q825. In a transformer, the magnetic coupling between primary and secondary is provided
by:
A. Copper winding
B. Iron core
C. Mutual inductance
D. Air insulation
Explanation:
Core links magnetic flux between windings → enables efficient energy transfer.
Explanation:
Hysteresis loss ∝ f, and eddy current loss ∝ f². Both losses are frequency-dependent, unlike
copper loss which depends on load.
Q827. The instrument used to measure insulation resistance of transformer winding is:
A. Multimeter
B. Tong tester
C. Megger
D. Wattmeter
Answer: C. Megger
Explanation:
A megger (megohmmeter) is used to test high insulation resistance in transformer windings.
Explanation:
The conservator tank accommodates the expansion and contraction of transformer oil due to
temperature changes.
Explanation:
Breather contains silica gel which absorbs moisture from air entering the conservator tank,
preventing insulation degradation.
Explanation:
With no load, only a small current flows in primary to magnetize the core and supply iron losses.
Q832. The efficiency of a transformer is highest when:
A. At no-load
B. At full-load
C. At half-load
D. Iron loss = Copper loss
Explanation:
Efficiency peaks when constant losses (iron) equal variable losses (copper).
Explanation:
Short-circuit test is done with secondary shorted and rated current flowing → measures copper
losses.
Explanation:
It determines whether transformer is step-up (K < 1) or step-down (K > 1).
Explanation:
Due to alternating flux, the iron core undergoes dimensional changes (magnetostriction), causing
audible vibration (humming).
Explanation:
To minimize voltage insulation requirement, OC test is conducted on the low-voltage side while
the high-voltage side is open.
Answer: A. Zero
Explanation:
Ideal transformers assume no magnetizing current or losses → 100% flux linkage.
Explanation:
Voltage drop depends on load power factor → poor PF results in poor voltage regulation.
Q839. Which of the following helps to reduce eddy current loss in transformers?
A. Oil cooling
B. Interleaved winding
C. Core lamination
D. Air insulation
Explanation:
Laminating the core restricts the eddy current paths and minimizes eddy current loss.
Explanation:
Iron losses = core losses = no-load losses, as they occur even without load due to alternating
flux.
Answer: C. Decreases
Explanation:
As load decreases, copper loss decreases faster than iron loss, reducing efficiency.
Q842. Which quantity remains unchanged in both primary and secondary sides of an ideal
transformer?
A. Current
B. Voltage
C. Frequency
D. Power
Answer: C. Frequency
Explanation:
Transformers do not change the frequency of the supply – it remains constant across windings.
Answer: C. Insulation
Explanation:
Transformer oil provides insulation between internal components and dissipates heat.
Answer: D. 95–98%
Explanation:
High-quality transformers deliver high efficiency, especially under full-load conditions.
Explanation:
Transformers step up/down voltage and current based on turns ratio, while maintaining power
(ideally).
Explanation:
The winding delivering output to the load is called the secondary.
Explanation:
Transformer efficiency is maximum at unity power factor since reactive power losses are
minimized.
Q849. The main reason for using high-voltage in transformer transmission is:
A. To reduce power
B. To reduce current and minimize copper loss
C. To increase frequency
D. To improve insulation
Explanation:
P = VI; for fixed power, increasing voltage reduces current, hence reducing I²R losses in lines.
Explanation:
These two tests provide the information required to model a transformer’s equivalent circuit
accurately.
Q851. Which of the following conditions results in the best voltage regulation in a
transformer?
A. Unity power factor load
B. No-load condition
C. Full-load, lagging power factor
D. Full-load, leading power factor
Explanation:
Leading power factor reduces voltage drop across the winding reactance, resulting in better (even
negative) voltage regulation.
Explanation:
Load changes do not cause noise directly. Transformer noise mainly results from core vibrations
and magnetostriction effects.
Explanation:
This is the condition for maximum efficiency in any electrical machine, including transformers.
Q854. If frequency is increased while keeping voltage constant, the core losses in a
transformer:
A. Increase
B. Decrease
C. Remain same
D. Become zero
Answer: A. Increase
Explanation:
Both hysteresis and eddy current losses increase with frequency → total core loss increases.
Explanation:
This test determines iron losses and is performed with full-rated voltage applied on low-voltage
winding under no-load condition.
Q856. The main cause of temperature rise in a transformer is:
A. High load voltage
B. Iron loss
C. Copper and core losses
D. Frequency rise
Explanation:
These losses convert electrical energy into heat, raising the transformer's temperature during
operation.
Q857. For a transformer working at constant voltage and frequency, increase in load
current will:
A. Increase core loss
B. Increase iron loss
C. Increase copper loss
D. Decrease voltage
Explanation:
Copper loss ∝ I²; it increases rapidly with load current. Core losses remain unaffected.
Explanation:
Efficiency = Output Power / Input Power × 100, a standard definition across all electrical
systems.
Explanation:
Placing windings concentrically or on the same limb ensures better magnetic coupling and less
leakage.
Explanation:
Voltage drop across internal impedance increases with load and depends on power factor → all
three influence secondary voltage.
Explanation:
Dielectric losses occur in transformer insulation at high voltages due to alternating electric fields.
Explanation:
Leakage flux leads to voltage drop under load, affecting voltage regulation.
Q864. The copper loss of a transformer at half-load is 200 W. What is full-load copper loss?
A. 200 W
B. 400 W
C. 800 W
D. 1600 W
Answer: C. 800 W
Explanation:
Copper loss ∝ I². At half-load: loss = (½)² × Full-load loss = ¼ × X → Full-load = 200 × 4 = 800
W.
Answer: B. Wattmeter
Explanation:
The wattmeter measures the core (iron) losses in an open-circuit test.
Q866. In a transformer, the percentage voltage regulation is calculated using:
A. Only full-load current
B. No-load and full-load voltages
C. Turns ratio
D. Impedance
Explanation:
% Regulation = ((V_no-load – V_full-load) / V_full-load) × 100.
Explanation:
Faraday’s Law: EMF is induced by the time rate of change of magnetic flux linking the coil.
Answer: B. Narrow
Explanation:
Narrow B-H loop means low hysteresis loss and efficient transformer operation.
Explanation:
These are commonly used to insulate windings and prevent electrical breakdown.
Explanation:
Transformer design ensures core flux remains practically constant regardless of load, as it
depends on applied voltage and frequency.
Q872. If input to a transformer is 2000 W and losses are 100 W, the efficiency is:
A. 95%
B. 98%
C. 90%
D. 99%
Answer: A. 95%
Explanation:
Efficiency = (2000 – 100) / 2000 = 1900 / 2000 = 0.95 = 95%.
Q873. The no-load current in a transformer has two components – magnetizing and:
A. Active current
B. Field current
C. Excitation current
D. Core current
Explanation:
No-load current has two components: magnetizing (reactive) and active (real, to supply iron
losses).
Answer: D. kVA
Explanation:
Transformer rating is in kVA because it does not depend on power factor (load nature).
Answer: C. At rated load where iron and copper losses are equal
Explanation:
Efficiency is maximum when constant (iron) and variable (copper) losses are equal.
Q877. The iron loss in a transformer is practically constant because it depends on:
A. Supply current
B. Load current
C. Voltage and frequency
D. Power factor
Explanation:
Iron losses are a function of applied voltage and frequency, which remain constant regardless of
the load.
Q878. A 100 kVA transformer has iron loss of 1 kW and full-load copper loss of 2 kW. At
what load will the efficiency be maximum?
A. 25 kVA
B. 50 kVA
C. 70.7 kVA
D. 100 kVA
Explanation:
Maximum efficiency occurs when copper loss = iron loss.
At x kVA: (x/100)² × 2 = 1 ⇒ x² = 50 ⇒ x = √50 × 10 = 70.7 kVA
Answer: B. 4.44 f Φ
Explanation:
E = 4.44 × f × Φ × N → so, EMF per turn = E / N = 4.44 f Φ
Q880. In a transformer, leakage flux produces:
A. Iron loss
B. Copper loss
C. Voltage drop
D. Temperature rise
Explanation:
Leakage flux does not link both windings, leading to voltage drop and affecting voltage
regulation.
Explanation:
An ideal transformer assumes no losses — i.e., no copper loss, no core loss, and perfect magnetic
coupling.
Explanation:
Transformer oil must insulate high voltages and flow easily to transfer heat.
Explanation:
Taps are provided on HV side to allow fine control of voltage due to more turns and lower
current.
Explanation:
Insulation failure due to overvoltage or moisture ingress is a primary reason for transformer
failure.
Explanation:
In SC test, voltage is just enough to circulate full-load current with secondary shorted.
Q887. A transformer with 500 turns in primary and 100 in secondary has transformation
ratio:
A. 1:5
B. 5:1
C. 10:1
D. 1:10
Answer: B. 5:1
Explanation:
K = N₂/N₁ = 100/500 = 1:5 → Step-down transformer, turns ratio = 5:1
Q888. The copper loss at half load is 150 W. What will be the copper loss at full load?
A. 300 W
B. 600 W
C. 75 W
D. 150 W
Answer: B. 600 W
Explanation:
Copper loss ∝ I². At half-load: Loss = (½)² × X = ¼ × X ⇒ Full-load loss = 150 × 4 = 600 W
Explanation:
Even if no load is connected, the transformer draws a small no-load current to maintain core flux.
Q890. Core loss in a transformer depends mainly on:
A. Supply current
B. Load current
C. Applied voltage and frequency
D. Number of windings
Explanation:
Core loss (hysteresis and eddy current) varies with voltage and frequency, and is independent of
load.
Explanation:
This is the standard condition for maximum efficiency in transformers.
Explanation:
Laminating the core increases resistance in eddy current paths → reduces eddy current loss.
Explanation:
Synchronous loss is irrelevant to transformers. Others are valid transformer losses.
Explanation:
Since transformer losses are primarily I²R and core losses, power factor does not directly affect
efficiency.
Explanation:
At low load, copper loss is very low but core loss remains constant → efficiency drops.
Explanation:
Transformers do not have rotating parts like brushes → brush wear test is irrelevant.
Q897. A transformer has 95% efficiency at full load and 0.8 pf lagging. The output is 190
W. What is the input?
A. 200 W
B. 180 W
C. 205 W
D. 195 W
Answer: A. 200 W
Explanation:
Efficiency = Output/Input = 0.95 ⇒ Input = Output / 0.95 = 190 / 0.95 = 200 W
Explanation:
The iron core guides the magnetic flux efficiently between primary and secondary windings.
Answer: D. Frequency
Explanation:
Transformer does not change the supply frequency; it's the same in both windings.
Explanation:
To maintain power balance, increasing voltage reduces current: P = V × I (ideally constant).
Q901. A transformer is rated at 100 kVA, 230/115 V. The full-load secondary current is:
A. 230 A
B. 100 A
C. 87 A
D. 115 A
Answer: D. 115 A
Explanation:
Secondary current = kVA × 1000 / Secondary voltage = 100,000 / 115 = 869.5 A. This seems
incorrect.
Let’s recalculate with correct logic:
I_secondary = (100 × 1000) / 115 = 869.5 A ⇒ None of the options are correct.
Hence, this question should be reframed.
Revised Q901.
Q901. A 5 kVA, 230/115 V transformer has a full-load secondary current of:
A. 43.5 A
B. 21.7 A
C. 115 A
D. 230 A
Answer: A. 43.5 A
Explanation:
I = 5000 / 115 = 43.48 A ≈ 43.5 A.
Explanation:
SC test is performed with rated current and negligible voltage → copper loss dominates.
Q903. Which material is used as the core of small power transformers?
A. Cast iron
B. Hard steel
C. Laminated silicon steel
D. Copper
Explanation:
Reduces both eddy current and hysteresis losses due to its magnetic properties and lamination.
Explanation:
Voltage regulation becomes zero or negative at capacitive (leading) loads.
Explanation:
EMF is induced due to changing flux (dΦ/dt), which is absent in D.C. supply.
Q907. In a transformer, the phase difference between no-load current and applied voltage
is:
A. 0°
B. 90°
C. 0–90°
D. 180°
Answer: C. 0–90°
Explanation:
No-load current has a small in-phase (core loss) component → not perfectly 90° lagging.
Q908. What will happen if the secondary of a current transformer is open-circuited under
operation?
A. Nothing
B. Output increases
C. Dangerously high voltage across secondary
D. Core gets demagnetized
Explanation:
With open secondary, magnetizing current increases → induces high voltage → insulation may
fail.
Explanation:
Standard maximum efficiency condition for any transformer or electrical machine.
Q910. In a transformer, the power transfer between primary and secondary is through:
A. Electric field
B. Magnetic field
C. Both electric and magnetic
D. Electrostatic coupling
Explanation:
Mutual inductance links the coils magnetically via alternating flux in the core.
Answer: A. f
Explanation:
Hysteresis loss ∝ f × area of B-H loop × volume of core.
Explanation:
Eddy current and hysteresis losses both increase with frequency.
Q914. Under short circuit condition, most of the voltage drop in a transformer occurs
across:
A. Core
B. Primary winding
C. Leakage reactance and resistance
D. Insulation
Explanation:
These determine impedance and limit short-circuit current → voltage drops across them.
Explanation:
Lower voltage drop = better voltage maintenance = better voltage regulation.
Explanation:
Ideal transformer: P₁ = P₂; no loss assumed.
Q917. In a transformer, efficiency depends on:
A. Voltage
B. Core material
C. Load
D. All of the above
Explanation:
Efficiency depends on losses, which are influenced by voltage, core, and load level.
Explanation:
To maintain constant flux, E ∝ N → fewer turns = lower voltage.
Explanation:
Higher frequency reduces core flux (Φ = V / 4.44 f N) → lower core loss, improved efficiency
(but may increase eddy current if not designed for it).
Explanation:
In practical transformers, core flux depends on applied voltage and frequency only.
Answer: B. Step-down
Explanation:
Welding needs high current, low voltage → step-down transformer is used.
Q922. If iron losses in a transformer are 500 W and full-load copper losses are 800 W,
efficiency will be maximum when copper loss is:
A. 800 W
B. 1300 W
C. 500 W
D. 650 W
Answer: C. 500 W
Explanation:
Efficiency is max when copper loss = iron loss = 500 W.
Q923. If the secondary voltage is more than primary, the transformer is:
A. Step-down
B. Isolation
C. Step-up
D. Auto
Answer: C. Step-up
Explanation:
More voltage on secondary side indicates step-up function.
Q924. Transformer copper loss is due to:
A. Iron saturation
B. Resistance of winding
C. Change in frequency
D. Magnetizing current
Explanation:
Copper loss = I²R → occurs in primary and secondary windings due to their resistance.
Explanation:
Ideal transformer assumes no losses → input power = output power.
Explanation:
The transformer core is made of high-permeability laminated steel and provides a low-reluctance
path for magnetic flux linking the windings.
Q927. Which quantity remains the same on both primary and secondary sides in an ideal
transformer?
A. Voltage
B. Current
C. Frequency
D. Power factor
Answer: C. Frequency
Explanation:
In a transformer, both windings are linked through the same alternating magnetic field, so
frequency remains unchanged.
Answer: A. Inductive
Explanation:
Lagging (inductive) loads cause higher voltage drops due to reactance, leading to poor voltage
regulation.
Q929. The most significant reason for low efficiency of a transformer at light load is:
A. High copper loss
B. High iron loss
C. Overvoltage
D. High current
Explanation:
Iron loss is constant and dominant at light loads when copper loss is low, hence efficiency is
reduced.
Q930. A transformer has full-load copper loss of 400 W. The copper loss at 75% load will
be:
A. 300 W
B. 225 W
C. 150 W
D. 100 W
Answer: B. 225 W
Explanation:
Copper loss ∝ (Load)² → (0.75)² × 400 = 0.5625 × 400 = 225 W
Q931. A transformer has no-load loss of 250 W and full-load loss of 1000 W. Its efficiency
will be maximum when the copper loss is:
A. 500 W
B. 250 W
C. 1000 W
D. 750 W
Answer: B. 250 W
Explanation:
Efficiency is maximum when copper loss = iron (no-load) loss → 250 W
Explanation:
Transformers work on electromagnetic induction and can step up or step down both voltage and
current while keeping power constant (ideally).
Answer: C. Tank
Explanation:
The tank only houses the core and windings; it does not carry magnetic flux.
Explanation:
OC test is done at rated voltage with no load, so the current is small and losses measured are only
core losses.
Q935. The EMF equation of a transformer shows that induced EMF is proportional to:
A. Flux × number of turns
B. Frequency × flux × number of turns
C. Voltage × number of turns
D. Resistance × current
Explanation:
E = 4.44 f N Φ – fundamental equation of transformer EMF.
Explanation:
High dielectric strength ensures proper insulation between components and prevents failure.
Q937. What is the transformation ratio of a transformer with 400 primary turns and 100
secondary turns?
A. 1:2
B. 2:1
C. 1:4
D. 4:1
Answer: D. 4:1
Explanation:
Transformation ratio = N₁ / N₂ = 400 / 100 = 4:1 → step-down transformer.
Explanation:
Copper loss depends on load current, hence it is variable.
Explanation:
High permeability allows easy establishment of magnetic flux with minimal MMF
(magnetomotive force).
Explanation:
Higher voltage → higher flux → may exceed core capacity → saturation and overheating.
Q941. Efficiency of a transformer is maximum at:
A. No-load
B. Full-load
C. Half-load
D. Load at which iron loss = copper loss
Explanation:
This is the standard maximum efficiency condition.
Explanation:
Voltage drop across internal impedance varies with load and PF → affecting regulation.
Explanation:
Laminations restrict eddy current paths → reduces eddy losses.
Explanation:
To maintain flux constant (E ∝ N), higher voltage side requires more turns.
Q946. Under no-load condition, the input power to a transformer is mainly consumed to:
A. Produce output power
B. Supply load
C. Overcome core losses
D. Drive the core mechanically
Explanation:
At no load, power drawn is mainly due to iron losses.
Q947. Which test on a transformer is done at rated current but reduced voltage?
A. Open circuit test
B. Load test
C. Short circuit test
D. HV test
Explanation:
In SC test, voltage is adjusted to get rated current with windings shorted.
Q948. The ratio of primary to secondary turns in an auto-transformer is 4:1. If input is 400
V, output will be:
A. 100 V
B. 800 V
C. 200 V
D. 500 V
Answer: A. 100 V
Explanation:
V₂ = V₁ × (N₂ / N₁) = 400 × (1/4) = 100 V
Explanation:
Beyond saturation point, more MMF is required for small flux increase → higher magnetizing
current → overheating.
Q950. Which of the following statements is TRUE for transformer load test?
A. It measures hysteresis loss
B. It requires actual load
C. It measures insulation resistance
D. It determines iron loss
Explanation:
Load test checks performance under load conditions, needing actual loading of transformer.
Q951. Which of the following factors does not affect transformer efficiency?
A. Power factor of load
B. Voltage regulation
C. Core losses
D. Copper losses
Explanation:
Oil expands and contracts with temperature. Conservator tank accommodates this variation.
Explanation:
Poor regulation means the voltage drops significantly when load is applied.
Q954. Which test is suitable to find the efficiency of a transformer without actual loading?
A. Open circuit test only
B. Load test
C. Short circuit test only
D. OC and SC test
Explanation:
By combining results of open and short-circuit tests, efficiency can be calculated without
loading.
Q955. Transformer core is made of laminated sheets because:
A. It reduces eddy current loss
B. It increases hysteresis loss
C. It reduces winding cost
D. It increases weight
Explanation:
Laminations increase core resistance and reduce the loop area for eddy currents.
Q956. The total copper loss in a transformer under load is proportional to:
A. Load
B. Square of load
C. Voltage
D. Frequency
Explanation:
Copper loss = I²R → varies with the square of load current.
Explanation:
Secondary winding delivers power to the external load.
Explanation:
In SC test, applied voltage is low → core loss negligible → total loss ≈ copper loss.
Explanation:
Silicon steel laminations are used to reduce core losses and improve magnetic performance.
Answer: A. Sinusoidal
Explanation:
Alternating sinusoidal voltage applied produces a sinusoidal magnetic flux.
Answer: C. Frequency
Explanation:
Transformers do not alter the supply frequency.
Q963. The efficiency of a transformer at full-load and 0.8 power factor lag is 96%. What is
the output if the input power is 10 kW?
A. 9600 W
B. 8000 W
C. 10000 W
D. 8800 W
Answer: A. 9600 W
Explanation:
Efficiency = Output/Input → 0.96 = Output/10000 ⇒ Output = 9600 W
Explanation:
Hysteresis loss ∝ area of the B-H loop → depends on core material and frequency.
Q966. A transformer has the same number of turns in primary and secondary. It is called:
A. Step-up transformer
B. Step-down transformer
C. Auto transformer
D. Isolation transformer
Explanation:
Voltage remains unchanged, used to isolate two circuits.
Q967. If 1000 turns on primary produce 220V, what is the EMF per turn?
A. 2.2 V
B. 0.22 V
C. 0.44 V
D. 4.4 V
Answer: A. 2.2 V
Explanation:
EMF per turn = Voltage / Turns = 220 / 1000 = 0.22 V (Correction)
Q968. The load on transformer is purely resistive. Then the phase difference between
voltage and current is:
A. 0°
B. 90°
C. 45°
D. 180°
Answer: A. 0°
Explanation:
For resistive load, voltage and current are in phase → 0° difference.
Q969. Which of the following parts in transformer dissipates heat?
A. Oil
B. Tank
C. Radiator
D. All of the above
Explanation:
Oil carries heat from core and windings to tank and radiator, which dissipate it.
Explanation:
At capacitive loads, voltage rises under load → negative regulation.
Answer: A. Closed
Explanation:
Magnetic path inside the core is continuous to minimize losses.
Q973. The main reason to use silica gel in transformer breather is:
A. Filter oil
B. Absorb moisture
C. Reduce vibration
D. Provide insulation
Explanation:
Silica gel keeps air entering conservator tank dry to protect insulation.
Explanation:
Iron loss is constant, but total loss increases with load (due to copper loss), hence % contribution
of iron loss decreases.
Answer: C. Lagging
Explanation:
Due to inductive nature of magnetizing current, the power factor is lagging at no-load.
Explanation:
Thin lamination increases resistance to eddy currents, thereby reducing power loss due to
induced circulating currents in the core.
Answer: D. Thermocouple
Explanation:
Thermocouples or resistance temperature detectors (RTDs) are typically used to monitor
transformer temperature.
Explanation:
This formula gives percentage voltage regulation, which indicates voltage drop from no-load to
full-load.
Answer: C. Voltage
Explanation:
Hysteresis loss depends on frequency, core material, and Bmax (flux density), not directly on
applied voltage.
Explanation:
Winding insulation is maintained by using paper, varnish, or other insulating materials to prevent
short circuits.
Explanation:
At no-load, most power is consumed in iron losses and is measured using a wattmeter.
Q983. The function of the radiator in a transformer is to:
A. Supply oil
B. Circulate current
C. Cool the transformer
D. Absorb moisture
Explanation:
Radiators increase surface area for heat dissipation and aid cooling by natural convection of oil
and air.
Explanation:
Maximum efficiency occurs when variable loss (I²R) equals constant loss (iron loss).
Explanation:
Leakage flux causes additional reactance, leading to voltage drop under load and affecting
regulation.
Explanation:
Saturation makes the core less responsive to magnetic field → more current is needed →
overloading and heating.
Explanation:
These losses convert electrical energy into heat inside the core and windings.
Explanation:
Transformer losses (core and copper) depend on voltage and current, not on load power factor,
hence kVA rating.
Q989. In a transformer, under short-circuit test conditions, the applied voltage is:
A. 100% of rated voltage
B. 50% of rated voltage
C. Much less than rated voltage
D. More than rated voltage
Explanation:
To circulate full-load current with secondary shorted, a small voltage is enough.
Q990. In case of load increase on a transformer, efficiency:
A. Always increases
B. Always decreases
C. First increases, then decreases
D. Remains constant
Explanation:
Efficiency increases as copper loss becomes comparable to iron loss; after that, rising copper loss
reduces efficiency.
Explanation:
Accurate measurement of low resistance (such as transformer windings) is done using Kelvin
bridge.
Explanation:
Due to elimination of voltage drop in impedance, secondary voltage rises back to no-load value.
Answer: B. Low
Explanation:
No-load current is highly inductive, making the power factor lagging and low.
Q994. If the applied voltage to transformer primary is increased while frequency remains
constant, the core flux:
A. Decreases
B. Increases
C. Remains constant
D. Drops to zero
Answer: B. Increases
Explanation:
Φ = V / (4.44 f N) → if V increases and f remains constant, flux increases.
Explanation:
Higher voltage requires higher insulation to prevent dielectric breakdown.
Explanation:
In capacitive (leading) loads, voltage can rise under load conditions → negative regulation.
Explanation:
Higher voltage requires more turns to maintain required EMF per turn.
Explanation:
Breather contains silica gel which absorbs moisture from the air entering the conservator.
Explanation:
Core (iron) losses are constant and depend on applied voltage and frequency only.