07 - Alternating Current
07 - Alternating Current
Q1. Two sinusoidal voltages of the same frequency are Q4. In a heating arrangement, an alternating current
shown in the diagram. What is the frequency, and the having a peak value of 28 A is used. To produce the same
phase relationship between the voltages? heat energy, if the direct current is used, its magnitude
must be:
1. about 14 A
2. about 28 A
3. about 20 A
4. cannot say
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Q8. A generator produces a voltage that is given by V = Q14. The output current versus time curve of a rectifier is
240 sin 120 t, where t is in seconds. The frequency and shown in the figure. The average value of output current
r.m.s. voltage are in this case is
(1) 60 Hz and 240 V
(2) 19 Hz and 120 V
(3) 19 Hz and 170 V
(4) 754 Hz and 70 V
4. 14.29 A 2
(3)
2I0
B. I = I sin (ωt + )
0
π
3
(ii) I /√2
0
√2
| i1 + i2 |
2. A B C D
√2
2
i + i
2
(1) 4 2 1 3
3. √
1
2
2
(2) 4 2 3 1
(3) 2 4 3 1
(4) 2 4 1 3
2 2
i + i
4. √
1 2
√2
1. 1
sec
4. 10 s−6 100
2. sec
200
1
3. 300
1
sec
4. 1
400
sec
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Q18. The r.m.s. value of potential difference V shown Q23. L, C and R represent physical quantities inductance,
in the figure is : capacitance and resistance respectively. The combination
representing dimension of frequency is
(1) LC
(2) (LC)–1/2
−1/2
(3) ( L
)
C
(4) C
(1) 30°
(4) √R + 2πf L 2
(2) 45°
(3) 60°
Q21. A 100 Ω resistor is connected to a 220 V, 50 Hz ac (4) 90°
supply. The net power consumed over a full cycle is:
1. 484 W Q27. A series AC circuit has a resistance of 4Ω and an
2. 848 W inductor of reactance 3Ω . The impendance of the circuit
3. 400 W is z . Now a capacitor of reactance 6Ω is connected in the
1
1. 1 : 1
Q22. In the circuit shown below, what will be the readings 2. 5 : 4
of the voltmeter and ammeter? 3. 4 : 5
4. 2 : 1
Q29. In the circuit shown in the figure, neglecting source Q33. In a series RLC circuit, potential differences across
resistance, the voltmeter and ammeter reading respectively R, L and C are 30 V, 60 V and 100 V respectively as
will be: shown in figure. The e.m.f. of source (in volts) is
(1) 0V, 3A
(2) 150V, 3A
(3) 150V, 6A 1. 190
(4) 0V, 8A 2. 70
3. 50
Q30. An ideal resistance R, ideal inductance L, ideal 4. 40
capacitance C, and AC voltmeters V , V , V and V
1 2 3 4
are connected to an AC source as shown. At resonance: Q34. A resistance of 300 Ω and an inductance of henry 1
(2) tan −1 3
(3) tan −1 3
(4) tan −1 2
1. Reading in V3 = Reading in V1
Q35. In an ac circuit, a resistance of R ohm is connected
2. Reading in V1 = Reading in V2
in series with an inductance L. If phase angle between
3. Reading in V2 = Reading in V4
voltage and current be 45°, the value of inductive
4. Reading in V2 = Reading in V3
reactance will be
(1) R
r c L 2
2. VR ≠ VL = VC
Q36. The variation of the instantaneous current (I) and the
instantaneous emf (E) in a circuit is as shown in figure.
3. VR ≠ VL ≠ VC
Which of the following statements is correct?
4. VR = VC ≠ VL
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Recommended MCQs - 116 Questions - Alternating
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Q37. For a series RLC circuit R = XL = 2XC. The Q43. An ac source of variable frequency f is connected to
impedance of the circuit and phase difference between V an LCR series circuit. Which one of the graphs in the
and i will be: figure represents the variation of the current I in the circuit
√5R with frequency f?
(1) , tan
2
(2)
−1
√5R
(2) 2
, tan
−1
(
1
2
)
(3) √5X C
, tan
−1
(2)
√LC
√LC
√LC
3. 10
−
3π
π
10
4. None of these
2 1. 0
4. 2π 2. 100 V
3. 200 V
4. 300 V
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Q46. A 50 Hz a.c. source of 20 volts is connected Q51. A coil of self-inductance L is connected in series
across R and C as shown in figure below. The with a bulb B and an AC source. The brightness of the
voltage across R is 12 volts. The voltage bulb decreases when
across C is – (1) frequency of the AC source is decreased
(2) the number of turns in the coil is reduced
(3) a capacitance of reactance Xc=XL is included in the
same circuit
(4) an iron rod is inserted in the coil
1. 8 V
2. 16V
3. 10 V
4. not possible to determine unless values of Q52. A series R-C circuit is connected to an alternating
R and C are given voltage source. Consider two situations:
(4) π/6 4. V = V
a b
Q48. In the circuit shown rms current is 11A. The Q53. The circuit is in a steady state when the key is at
potential difference across the inductor is:- position 1. If the switch is changed from position 1 to
position 2, then the steady current in the circuit is
E0
1.
R
1. 220 V 2.
E0
2. 0 V 3R
3. 300 V 3.
E0
2R
4. 200 V E0
4.
4R
(1) √
3
when: (2) √ 2
1. ω < ω 0
(3) √ 1
2. ω = ω 0
(4) √
4
3. ω > ω 0 5
4. None of these
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Q55. In a box Z of unknown elements (L or R any other Q58. The diagram shows a capacitor C and a resistor R
combination), an ac voltage E = E sin(ωt + ϕ) is connected in series to an ac source. V1 and V2 are
0
applied and current in the circuit was found to be voltmeters and A is an ammeter:
). Then the unknown elements in
π
I = I sin(ωt + ϕ +
0
4
(2) 1
Q57. A bulb is rated at 100 V, 100 W, and it's treated as a πf (2πf L+R)
bulb at its rated power with the help of an ac source of 200 πf (2πf L−R)
V and 50 Hz is
π
1. H
√3
2. 100 H
√2
3. H
π
√3
4. H
π
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Q60. A constant voltage at different frequencies is applied Q62. A capacitor of capacitance 1 μF is charged to a
across a capacitance C as shown in the figure. potential of 1 V. It is connected in parallel to an inductor
of inductance 10 H. The maximum current that will flow
−3
2. 1 mA
3. 1 μF
4. 1000 mA
(1)
q
1. L di
dt
+ iR −
C
= V
q
2. L di
dt
− iR +
C
= V
q
3. L
di
+ iR + = V
dt C
q
4. L
di
− iR − = V
(2)
dt C
(4)
Q61. The figure shows the variation of R, XL, and XC with (1) R = 1kΩ, C = 10μF
frequency f in a series L, C, R circuit. Then for what (2) R = 1kΩ, C = 1μF
frequency point, the circuit is inductive? (3) R = 1kΩ, L = 10H
(4) R = 1kΩ, L = 1H
Q66. Which one of the following curves represents the Q69. One 10 V, 60 W bulb is to be connected to 100 V
variation of impedance (Z) with frequency f in a series line. The required induction coil has a self-inductance of
LCR circuit? value: (f = 50 Hz)
(1) 0.052 H
(2) 2.42 H
(3) 16.2 mH
(4) 1.62 mH
(1) Q70. Which of the following plots may represent the
reactance of a series LC combination?
(2)
(3) (1) a
(2) b
(3) c
(4) d
(4)
(1) 2A
(2) 3.3 A
(3) 2/√5A
(4) √5A
1. zero
2. 100 V
3. 200 V
4. 500 V
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Q71. The capacitor and a resistor are connected in series Q74. In the circuit shown in the figure, the AC source
across a.c supply. Which of the following phasor diagrams gives a voltage V = 20cos(2000t) volt. Neglecting source
may be correct? resistance, the voltmeter and ammeter readings will be
(approximately):
1. 2.
1. 4 V, 2.0 A
2. 0 V, 2 A
3. 0 V, 1.4 A
4. 8 V, 2.0 A
3. 4. 1. 2 A
2. 3.3 A
3. 2/√5 A
4. √5 A
R
(2) 40 watts
2. ω
(3) 1000 watts
RC
(4) 0 watt
3. √LC
4. L/R
Page: 10
Recommended MCQs - 116 Questions - Alternating
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Q78. The power factor of the given circuit is Q83. In an ac circuit, the current, i= 100sin100t A and
V=100sin(100t + π
3
) volt. Then the average power
dissipated in the ac circuit is:
1. 2500 W
2. 250 W
3. 5000 W
1.
1
4. 4000 W
2
1
2.
√2
Q84. In a series LCR circuit, the current through the ac
√3
source is 2 A. If resistor R has resistance 10 Ω, the
3.
2
average power dissipated in the circuit is:
4. 0
1. 20 W
2. 30 W
Q79. The power factor of a series LCR circuit in 3. 10 W
resonance condition is: 4. 40 W
1. zero
2.
1 Q85. In an L-R circuit, the inductive reactance is equal to
2
the resistance R of the circuit. An emf E = E0 cos (ωt) is
1
3.
√2
applied to the circuit. The power consumed in the circuit
is
4. 1 2
E
1. 0
E
2
4R
reactance 25 Ω. The combination is connected to an a.c. E
2
1. 0.56 E
2
4.
0
2. 0.64 8R
3. 0.80
4. 0.33 Q86. A circuit consists of 3 ohm resistance and 4 ohm
reactance. The power factor of the circuit is :
Q81. An inductor of inductance L and resistor of (1) 0.4
resistance R are joined in series and connected by a source (2) 0.6
of frequency ω. The power dissipated in the circuit is : (3) 0.8
2
(R +ω L )
2 2
(4) 1.0
(1) V
(2)
V R
2 2 2
(R +ω L )
voltages in a circuit are given as
(3) 2
V
2 2
1
(R +ω L ) i = sin(100 πt) ampere
√2
√R2 +ω2 L2
(4) 2
1
V e = sin(100πt + π/3) volt
√2
Q82. The potential differences across the resistance, The average power in Watts consumed in the circuit is :
capacitance and inductance are 80V, 40Vand 100V
√3
1. 4
respectively in an L-C-R circuit. The power factor of this
2. 1
circuit is 2
(1) 0.4 3. 1
(2) 0.5 4. 1
(3) 0.8 4
(4) 1.0
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1. R
2. P √
Z
R
3. P ( )
Z
2. 4. P
3.
1
3.
2
L
4. All of these
3 1. 0.79 W
is removed from the circuit, the phase difference is again 2. 0.43 W
π
3
between current and voltage. The power factor of the 3. 2.74 W
circuit is: 4. 1.13 W
1. 0.5
2. 1.0 Q95. The power factor of a good choke coil is:
3. −1. 0 (1) Nearly zero
4. Zero (2) Exactly zero
(3) Nearly one
(4) Exactly one
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Q96. An inductor 20 mH, a capacitor 50μF, and a resistor Q101. In which of the following circuits, the power factor
40Ω are connected in series across a source of emf can be zero?
V=10sin340t. The power loss in the AC circuit is: 1. LC circuit
2. LCR circuit
1. 0.67 W 3. Purely resistive circuit
2. 0.78W 4. Both (1) & (2)
3. 0.89 W
4. 0.46 W Q102. The value of power factor for a parallel LC circuit
at a frequency less than resonance frequency is
Q97. LC oscillations are not sustainable for long due to 1. Zero
the following reason: 2. 1
1. Every inductor has some resistance. 3. > 1
2. The effect of resistance is to introduce a damping effect 4.< 1
on the charge & current in the circuit and the oscillations
finally die away. Q103. An LC circuit contains an inductor (L=25 mH ) and
3. Even if the resistance is zero, the total energy of the capacitor (C=25 mF) with an initial charge Q . After what
0
system is radiated away from the system in the form of time will the circuit have an equal amount of electrical
electromagnetic radiation. and magnetic energy?
4. All of the above 1.
π
160
s
3π
2. s
Q98. The natural frequency of the circuit shown in the 160
5π
figure is 3.
160
s
4. All of these
C(V
2
−V
2
)
2π√LC
1.
1 2
(2)
1
L
2 2
π√LC C(V +V )
2. 1 2
(3) 2
L
π√LC 1/2
2 2
C(V −V )
(4) None of these 3. ( 1 2
)
L
1/2
Q99. In LC oscillation, the current in the circuit when the C ( V1 −V2 )
2
4. ( )
total energy is stored in the form of magnetic energy is- L
Q106. The primary winding of transformer has 500 turns Q111. In the transformer shown in figure, ratio of number
whereas its secondary has 5000 turns. The primary is of turns of primary to the secondary is
N1
=
1
. If a
connected to an ac supply of 20 V, 50 Hz. The secondary N2 50
Q107.
20
10
1. 5000 4. 1
5
A
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Answers
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