Current Electricity
Current Electricity
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TATVA for JEE
(Full Syllabus)
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General Terms
○ Current Combination of
○ Drift Velocity
Batteries
○ Mobility
○ Series & Parallel
○ Microscopic
○ Power
Ohm’s Law
○ Temperature
dependance Current
○ Colour Coding
Electricity
Combination of
Electronic Instruments
Resistors
○ Meter Bridge
○ Series, Parallel
○ Ammeter, Voltmeter
○ WSB
○ Potentiometer
○ Symmetry Circuits
Electric Current
The Rate of Flow of Charge through a
Cross Section is called as Electric Current
Current Density
It is defined as Current per Unit Area
I
Current is a Scalar Quantity,
but Current Density is a Vector
Quantity
Motion of electrons in absence of
Electric Field
Drift Velocity
It is the Average velocity with which an electron is
drifted towards positive terminal of battery in the
presence of External Electric Field
L
V
Relaxation Time
It is the Average time between two Successive
collisions
Mobility
V = IR
V
Resistance
Resistivity
For Conductors
Resistivity increases with increase in
temperature. Because with increase in
temperature, relaxation time decreases
which cause the increase in resistance.
R2 = R1(1 + 𝛼ΔT)
Temperature dependence of Resistance
For Semiconductors
Resistivity decreases with increase in
temperature. Because with increase in
temperature number of free electrons
increases due to which resistance
decreases.
JEE Main 01st Feb 2024 S-1
The current in a conductor is expressed as
I = 3t2 + 4t3, where I is in Ampere and t is in
second. The amount of electric charge that
flows through a section of the conductor during
t = 1 s to t = 2s is is ______ C.
JEE Main 01st Feb 2024 S-1
The current in a conductor is expressed as
I = 3t2 + 4t3, where I is in Ampere and t is in
second. The amount of electric charge that
flows through a section of the conductor during
t = 1 s to t = 2s is is ______ C.
Ans : 22
JEE Main 29th Jan 2024 S-1
The electric current through a wire varies with
time as I = I0 + 𝛽t, where I0 = 20 A and 𝛽 = 3A/s.
The amount of electric charge crossed through
a section of the wire in is HOME WORK
A 1000C
B 80C
C 1600C
D 800C
8 April S1 JEE Main 2024
Ans : 748
4 April S2 JEE Main 2024
Ans : 32
JEE Main 6th April 2023, S-1
A B
C D
JEE Main 6th April 2023, S-1
A B
C D
JEE Main 30th Jan 2023, S-1
D
JEE Main 30th Jan 2023, S-1
D
JEE Main 31st Jan 2023, S-1
A Vd
B Vd/2
C Vd/4
D 2Vd
JEE Main 31st Jan 2023, S-1
A Vd
B Vd/2
C Vd/4
D 2Vd
4 Find the current if a point charge Q located on
rim of ring of radius R moves with angular
velocity 𝜔.
Q A
B
R
C
D
Q
R
4 Find the current if a point charge Q located on
rim of ring of radius R moves with angular
velocity 𝜔.
Q A
B
R
C
D
4 The resistance of a wire is ‘R’ ohm. If it is melted
and stretched to ‘n’ times its original length, its
new resistance will be:
A R/n
B n2R
C R/n2
D nR
4 The resistance of a wire is ‘R’ ohm. If it is melted
and stretched to ‘n’ times its original length, its
new resistance will be:
A R/n
B n2R
C R/n2
D nR
JEE Main 25th Jan, 2023 S-2
A 625
B 5
C 125
D 25
JEE Main 25th Jan, 2023 S-2
A 625
B 5
C 125
D 25
JEE Main 12th April 2023, S-1
A 640 Ω
B 40 Ω
C 10 Ω
D 16 Ω
JEE Main 12th April 2023, S-1
A 640 Ω
B 40 Ω
C 10 Ω
D 16 Ω
Kirchoff’s Current Law (KCL)
Kirchoff’s Voltage Law (KVL)
4 In the circuit shown in figure, the potential
difference between points A & B is ?
A -3 V
B +3 V
C +6 V
D +9 V
4 In the circuit shown in figure, the potential
difference between points A & B is ?
A -3 V
B +3 V
C +6 V
D +9 V
JEE Main 6th April 2023, S-2
A 1.0 A
B 0.2 A
C 0.4 A
D 0.6 A
JEE Main 6th April 2023, S-2
A 1.0 A
B 0.2 A
C 0.4 A
D 0.6 A
SERIES Combination
The current is the same through each resistor.
C1 C2 C3
R1 R2 R3
V
Important Points
RC22
C3
R3
V
Important Points
B 5R
D 25 R
JEE Main 27th Jan 2024 S-1
B 5R
D 25 R
5 April S2 JEE Main 2024
Ans : 5
5 April S1 JEE Main 2024
B 12Ω and 1A
C 10.5Ω and 1 A
B 12Ω and 1A
C 10.5Ω and 1 A
A 12 m V
B 0.5 V
C 4V
D 2mV
JEE Main 30th Jan 2024 S-1
A 12 m V
B 0.5 V
C 4V
D 2mV
JEE Main 29th Jan 2024 S-2
A 2.5 A
B 1.5 A
C 1A
D 2A
JEE Main 29th Jan 2024 S-2
A 2.5 A
B 1.5 A
C 1A
D 2A
JEE Main 31st Jan 2024 S-1
Ans : 1
9 April S1 JEE Main 2024
A 27 Ω
B 19 Ω
C 25 Ω
D 18 Ω
9 April S1 JEE Main 2024
A 27 Ω
B 19 Ω
C 25 Ω
D 18 Ω
JEE Main 10th Jan 2023, S-1
Answer: 100
JEE Main 15th April 2023, S-1
Answer: 3
JEE Main 11th April 2023, S-2
4
The current flowing through R2 is:
D
JEE Main 11th April 2023, S-2
4
The current flowing through R2 is:
D
JEE Main 8th April 2023, S-2
A 20 k𝛺
B 30 k𝛺
C 5 k𝛺
D 10 k𝛺
JEE Main 8th April 2023, S-2
A 20 k𝛺
B 30 k𝛺
C 5 k𝛺
D 10 k𝛺
Wheatstone Bridge
R1 R3
R5
R2 R4
Balanced Wheatstone Bridge
R1 R3
R5
R2 R4
Symmetrically Unbalanced WSB
R1 R2
R3
R2 R1
USB ka video banya hai…uska thumbnail dal do
9 April S2 JEE Main 2024
D
(As resistance connected with P & Q will
not considered for calculation because
both are at same potential)
9 April S2 JEE Main 2024
D
JEE Main 01st Feb 2024 S-2
To measure the temperature coefficient of
resistivity 𝛼 of a semiconductor, an electrical
arrangement shown in the figure is prepared.
The arm BC is made up of the semiconductor.
The experiment is being conducted at 25oC
and resistance of the semiconductor arm is 3
m𝛺. Arm BC is cooled at a constant rate of
2oC/s. If the galvanometer C shows no
deflection after 10 s, then 𝛼 is :
C -2 × 10-2 oC-1
D -1 × 10-2 oC-1
JEE Main 01st Feb 2024 S-2
To measure the temperature coefficient of
resistivity 𝛼 of a semiconductor, an electrical
arrangement shown in the figure is prepared.
The arm BC is made up of the semiconductor.
The experiment is being conducted at 25oC
and resistance of the semiconductor arm is 3
m𝛺. Arm BC is cooled at a constant rate of
2oC/s. If the galvanometer C shows no
deflection after 10 s, then 𝛼 is :
C -2 × 10-2 oC-1
D -1 × 10-2 oC-1
JEE Main 1st Feb 2023, S-1
Answer: 8
4 Find the effective resistance in the given figure
between points A and B.
D
4 Find the effective resistance in the given figure
between points A and B.
D
4 Find The effective resistance in the given figure
between points A and B ?
A
4 Find The effective resistance in the given figure
between points A and B ?
A B
4 Find The effective resistance in the given figure
between points A and B ? HOME WORK
A
CELL
E
r
Series Combination of Cells
● Cell are said to be in series if same current is running in all of them.
r1 Ɛ1 r2 Ɛ2 r3 Ɛ3
Ɛeq
req
● Req = r1 + r2 + r3
● Ɛeq = Ɛ1 + Ɛ2 + Ɛ3
Parallel Combination of cell
● Cell are said to be in Parallel if same Potential Difference exists
across all Resistors.
r1
r2
r3
Ɛeq
req
8 April S1 JEE Main 2024
A 4V
B 2V
C 3V
D 1.5 V
8 April S1 JEE Main 2024
A 4V
B 2V
C 3V
D 1.5 V
JEE Main 30th Jan 2024 S-1
Two cells are connected in opposition as shown.
Cell E1 is of 8 V emf and 2 𝛺 internal resistance;
the cell E2 is of 2V emf and 4 𝛺 internal
resistance. The terminal potential difference of
cell E2 _____ is V.
JEE Main 30th Jan 2024 S-1
Two cells are connected in opposition as shown.
Cell E1 is of 8 V emf and 2𝛺 internal resistance;
the cell E2 is of 2V emf and 4𝛺 internal
resistance. The terminal potential difference of
cell E2 _____ is V.
Ans : 6
JEE Main 29th Jan 2022, S-2
A 2Ω
B 4Ω
C 6Ω
D 8Ω
JEE Main 29th Jan 2022, S-2
A 2Ω
B 4Ω
C 6Ω
D 8Ω
25 Jan-Shift 2 JEE 2023
Answer: 1
JEE Main 11th April 2023, S-2
Answer : 1
Electrical Power
Electrical Power
If p = constant
If p = variable
Rated Power & Rated Voltage
A 4:1
B 1:1
C 2:1
D 1:2
5 April S2 JEE Main 2024
A 4:1
B 1:1
C 2:1
D 1:2
4 April S2 JEE Main 2024
A 12.5 W
B 25 W
C 100 W
D 50 W
4 April S2 JEE Main 2024
A 12.5 W
B 25 W
C 100 W
D 50 W
JEE Main 31th Jan 2024 S-2
A 46 %
B 56 %
C 26 %
D 36 %
JEE Main 31th Jan 2024 S-2
A 46 %
B 56 %
C 26 %
D 36 %
JEE Main 13th April 2023 S-1
D
Given, Q = at – bt2
At t = 0, Q = 0 ⇒ I = 0
Also, I = 0 at t = a/2b
∴ Total heat produced in resistance R,
4 The charge flowing through a resistance R
varies with time t as Q = at – bt2, where a and b
are positive constants. The total heat produced
in R is
D
Meter Bridge
● It is a Device which is used to Measure
Unknown Resistance
● It is Based on the Principle of Balanced
Wheatstone Bridge
End Correction
Battery
Galvanometer
A 3 × 10-3𝛺
B 3.75 × 10-3𝛺
C 4.8 × 10-3𝛺
D 2.75 × 10-3𝛺
JEE Main 29th Jan 2024 S-1
A galvanometer having coil resistance 10𝛺
shows a full scale deflection for a current of 3
mA. For it to measure a current of 8A, the value
of the shunt should be:
A 3 × 10-3𝛺
B 3.75 × 10-3𝛺
C 4.8 × 10-3𝛺
D 2.75 × 10-3𝛺
JEE Main 01st Jan 2024 S-1
A galvanometer has a resistance of 50𝛺 and it
allows maximum current of 5 mA. It can be
converted into voltmeter to measure upto by 100
V connecting in series a resistor of resistance :
A 20050 𝛺
B 5975 𝛺
C 19950 𝛺
D 19500 𝛺
JEE Main 01st Jan 2024 S-1
A galvanometer has a resistance of 50𝛺 and it
allows maximum current of 5 mA. It can be
converted into voltmeter to measure upto by 100
V connecting in series a resistor of resistance :
A 20050 𝛺
B 5975 𝛺
C 19950 𝛺
D 19500 𝛺
JEE Main 29th Jan 2024 S-1
The deflection in moving coil galvanometer falls
from 25 divisions to 5 division when a shunt of
24𝛺 is applied. The resistance of galvanometer
coil will be :
A 96𝛺
B 12𝛺
C 48𝛺
D 100𝛺
JEE Main 29th Jan 2024 S-1
The deflection in moving coil galvanometer falls
from 25 divisions to 5 division when a shunt of
24𝛺 is applied. The resistance of galvanometer
coil will be :
A 96𝛺
B 12𝛺
C 48𝛺
D 100𝛺
JEE Main 27th Jan 2024 S-2
A 120 𝜇A
B 30 𝜇A
C 180 𝜇A
D 60 𝜇A
JEE Main 27th Jan 2024 S-2
A 120 𝜇A
B 30 𝜇A
C 180 𝜇A
D 60 𝜇A
Potentiometer
V0 (Driving voltage)
L
V0 (Driving voltage)
POTENTIOMETER
R
є
r
ℓ
ℓ = Null Point Length
V0
4 April S1 JEE Main 2024
A 0.3 Ω
B 0.4 Ω
C 0.1 Ω
D 0.2 Ω
4 April S1 JEE Main 2024
A 0.3 Ω
B 0.4 Ω
C 0.1 Ω
D 0.2 Ω
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