Current Electricity
539 Questions
Start JEE Mains Test
2019
Q401
JEE Mains
MCQ
10 Mar 2026
To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The
measured voltage is plotted as a function of the current, and the following graph is obtained :
If V0 is almost zero, identify the correct statement :
If V0 is almost zero, identify the correct statement :
A.
The value of the resistance R is 1.5 $\Omega $
B.
The emf of the battery is l.5 V and its internal resistance is 1.5 $\Omega $
C.
The emf of the battery is l.5 V and the value of R is 1.5 $\Omega $
D.
The potential difference across the battery is 1.5 V when it sends a current of 1000 mA
2019
Q402
JEE Mains
MCQ
10 Mar 2026
The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the
network is 4 Watt. The value of R is:
A.
16 $\Omega $
B.
1 $\Omega $
C.
8 $\Omega $
D.
6 $\Omega $
2019
Q403
JEE Mains
MCQ
10 Mar 2026
A galvanometer of resistance 100 $\Omega $ has 50 divisions on its scale and has sensitivitv of 20 $\mu $A/division. It is
to be converted to a voltmeter with three ranges of 0-2V, 0-10 V and 0-20 V. The appropriate circuit to do so
is
A.
B.
C.
D.
2019
Q404
JEE Mains
MCQ
10 Mar 2026
Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of
resistivity $\rho $. The resistance between the two spheres will be :
A.
${\rho \over {2\pi }}\left( {{1 \over a} + {1 \over b}} \right)$
B.
${\rho \over {4\pi }}\left( {{1 \over a} + {1 \over b}} \right)$
C.
${\rho \over {2\pi }}\left( {{1 \over a} - {1 \over b}} \right)$
D.
${\rho \over {4\pi }}\left( {{1 \over a} - {1 \over b}} \right)$
2019
Q405
JEE Mains
MCQ
10 Mar 2026
A moving coil galvanometer allows a full scale
current of 10–4 A. A series resistance of 2 M$\Omega $
is required to convert the above galvanometer
into a voltmeter of range 0-5 V. Therefore the
value of shunt resistance required to convert the
above galvanometer into an ammeter of range
0.10 mA is :
A.
200 $\Omega $
B.
500 $\Omega $
C.
100 $\Omega $
D.
None of the options are correct
2019
Q406
JEE Mains
MCQ
10 Mar 2026
In an experiment, the resistance of a material
is plotted as a function of temperature (in some
range). As shown in the figure, it is a straight
line. One may conclude that :
A.
$R(T) = {R_0}{e^{ - {T^2}/T_0^2}}$
B.
$R(T) = {{{R_0}} \over {{T^2}}}$
C.
$R(T) = {R_0}{e^{ {T^2}/T_0^2}}$
D.
$R(T) = {R_0}{e^{ - T_0^2/{T^2}}}$
2019
Q407
JEE Mains
MCQ
10 Mar 2026
A current of 5 A passes through a copper
conductor (resistivity = 1.7 × 10–8 $\Omega $m) of radius
of cross-section 5 mm. Find the mobility of the
charges if their drift velocity is 1.1 × 10–3 m/s.
A.
1.3 m2/Vs
B.
1.0 m2/Vs
C.
1.8 m2/Vs
D.
1.5 m2/Vs
2019
Q408
JEE Mains
MCQ
10 Mar 2026
In the given circuit, an ideal voltmeter
connected across the 10$\Omega $ resistance reads 2V.
The internal resistance r, of each cell is:
A.
1.5 $\Omega $
B.
1 $\Omega $
C.
0.5 $\Omega $
D.
0 $\Omega $
Given that VAB = 2 V
2019
Q409
JEE Mains
MCQ
10 Mar 2026
In a meter bridge experiment, the circuit
diagram and the corresponding observation
table are shown in figure
Which of the readings is inconsistent?
| SI. No. | R($\Omega $) | l(cm) |
|---|---|---|
| 1. | 1000 | 60 |
| 2. | 100 | 13 |
| 3. | 10 | 1.5 |
| 4. | 1 | 1.0 |
A.
4
B.
3
C.
2
D.
1
2019
Q410
JEE Mains
MCQ
10 Mar 2026
The resistance of a galvanometer is 50 ohm and
the maximum current which can be passed
through it is 0.002 A. What resistance must be
connected to it in order to convert it into an
ammeter of range 0 – 0.5 A ?
A.
0.02 ohm
B.
0.2 ohm
C.
0.002 ohm
D.
0.5 ohm
2019
Q411
JEE Mains
MCQ
10 Mar 2026
A metal wire of resistance 3 $\Omega $ is elongated to
make a uniform wire of double its previous
length. This new wire is now bent and the ends
joined to make a circle. If two points on this
circle make an angle 60° at the centre, the
equivalent resistance between these two points
will be :-
A.
5 /2 $\Omega $
B.
12/5 $\Omega $
C.
7/2 $\Omega $
D.
5 / 3 $\Omega $
2019
Q412
JEE Mains
MCQ
10 Mar 2026
In a conductor, if the number of conduction
electrons per unit volume is 8.5 × 1028 m–3 and
mean free time is 25ƒs (femto second), it's
approximate resistivity is :-
(me = 9.1 × 10–31 kg)
(me = 9.1 × 10–31 kg)
A.
10–8 $\Omega $m
B.
10–7 $\Omega $m
C.
10–5 $\Omega $m
D.
10–6 $\Omega $m
2019
Q413
JEE Mains
MCQ
10 Mar 2026
A wire of resistance R is bent to form a square
ABCD as shown in the figure. The effective
resistance between E and C is :
(E is mid-point of arm CD)
A.
${7 \over {64}}R$
B.
${1 \over {16}}R$
C.
R
D.
${3 \over {4}}R$
2019
Q414
JEE Mains
MCQ
10 Mar 2026
A moving coil galvanometer has resistance 50$\Omega $
and it indicates full deflection at 4mA current.
A voltmeter is made using this galvanometer
and a 5 k$\Omega $ resistance. The maximum voltage,
that can be measured using this voltmeter, will
be close to :
A.
15 V
B.
10 V
C.
40 V
D.
20 V
2019
Q415
JEE Mains
MCQ
10 Mar 2026
In the figure shown, what is the current
(in Ampere) drawn from the battery ?
You are given: R1 = 15$\Omega $, R2 = 10 $\Omega $, R3 = 20 $\Omega $, R4 = 5$\Omega $, R5 = 25$\Omega $, R6 = 30 $\Omega $, E = 15 V
You are given: R1 = 15$\Omega $, R2 = 10 $\Omega $, R3 = 20 $\Omega $, R4 = 5$\Omega $, R5 = 25$\Omega $, R6 = 30 $\Omega $, E = 15 V
A.
13/24
B.
7/18
C.
9/32
D.
20/3
2019
Q416
JEE Mains
MCQ
10 Mar 2026
In the circuit shown, a four-wire potentiometer
is made of a 400 cm long wire, which extends
between A and B. The resistance per unit length
of the potentiometer wire is r = 0.01 $\Omega $/cm. If
an ideal voltmeter is connected as shown with
jockey J at 50 cm from end A, the expected
reading of the voltmeter will be :-
A.
0.25 V
B.
0.20 V
C.
0.50V
D.
0.75 V
2019
Q417
JEE Mains
MCQ
10 Mar 2026
A cell of internal resistance r drives current
through an external resistance R. The power
delivered by the cell to the external resistance
will be maximum when :-
A.
R = 1000 r
B.
R = r
C.
R = 2r
D.
R = 0.001 r
2019
Q418
JEE Mains
MCQ
10 Mar 2026
For the circuit shown, with R1 = 1.0W, R2 = 2.0 W,
E1 = 2 V and E2 = E3 = 4 V, the potential
difference between the points 'a' and 'b' is
approximately (in V):
A.
3.3
B.
2.7
C.
2.3
D.
3.7
2019
Q419
JEE Mains
MCQ
10 Mar 2026
A 200 $\Omega $ resistor has a certain color code. If one
replaces the red color by green in the code, the
new resistance will be :
A.
500 $\Omega $
B.
100 $\Omega $
C.
200 $\Omega $
D.
300 $\Omega $
2019
Q420
JEE Mains
MCQ
10 Mar 2026
In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents I2, I3 and I6, respectively, are :
A.
1.1 A, – 0.4 A, 0.4 A
B.
$-$ 0.4 A, 0.4 A, 1.1 A
C.
0.4 A, 1.1 A, 0.4 A
D.
1.1 A, 0.4 A, 0.4 A
2019
Q421
JEE Mains
MCQ
10 Mar 2026
A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 $ \times $ 10–4 A passes through it, its needle ( pointer) deflects by one division. To use this galvanometer as a voltmeter of range 2.5 V, it should be connected to a resistance of :
A.
200 ohm
B.
250 ohm
C.
6200 ohm
D.
6250 ohm
2019
Q422
JEE Mains
MCQ
10 Mar 2026
Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers P1 and P2 respectively, then :
A.
P1 = 4W, P2 = 16 W
B.
P1 = 16W, P2 = 4 W
C.
P1 = 9W, P2 = 16 W
D.
P1 = 16W, P2 = 9 W
2019
Q423
JEE Mains
MCQ
10 Mar 2026
In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation ${{dR} \over {d\ell }}$ of its resistance R with length $\ell $ is ${{dR} \over {d\ell }}$ $ \propto $ ${1 \over {\sqrt \ell }}$. Two equal resistances are connected as shown in the figure. The
galvanometer has zero deflection when the jockey is at point P. What is the length AP ?
A.
0.3 m
B.
0.25 m
C.
0.35 m
D.
0.2 m
2019
Q424
JEE Mains
MCQ
10 Mar 2026
The galvanometer deflection, when key K1 is closed but K2 is open, equals $\theta $0 (see figure). On closing K2 also and adjusting R2 to 5$\Omega $, the deflection in galvanometer becomes ${{{\theta _0}} \over 5}.$ . The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery] :
A.
5 $\Omega $
B.
25 $\Omega $
C.
12 $\Omega $
D.
22 $\Omega $
2019
Q425
JEE Mains
MCQ
10 Mar 2026
An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m and esistance 5 $\Omega $. The value of R, to give a potential difference of 5 mV across 10 cm of potentiometer wire, is :
A.
480 $\Omega $
B.
495 $\Omega $
C.
490 $\Omega $
D.
395 $\Omega $
2019
Q426
JEE Mains
MCQ
10 Mar 2026
A galvanometer having a resistance of 20 $\Omega $ and 30 divisions on both sides has figure of merit 0.005 ampere/division. The resistance that should be connected in series such that it can be used as a voltmeter upto 15 volt, is:
A.
120 $\Omega $
B.
125 $\Omega $
C.
80 $\Omega $
D.
100 $\Omega $
2019
Q427
JEE Mains
MCQ
10 Mar 2026
In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a 10 $\Omega $ resistor is connected in series with R1, the null point shifts by 10 cm. The resistance that should be connected in parallel with (R1 + 10) $\Omega $ such that the null point shifts back to its initial position is :
A.
40 $\Omega $
B.
30 $\Omega $
C.
20 $\Omega $
D.
60 $\Omega $
2019
Q428
JEE Mains
MCQ
10 Mar 2026
In the circuit shown, the potential difference between A and B is :
A.
6 V
B.
3 V
C.
2 V
D.
1 V
2019
Q429
JEE Mains
MCQ
10 Mar 2026
Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be :
A.
240 W
B.
60 W
C.
30 W
D.
120 W
2019
Q430
JEE Mains
MCQ
10 Mar 2026
The resistance of the meter bridge AB in given figure is 4 $\Omega $. With a cell of emf $\varepsilon $ = 0.5 V and rheostat
resistance Rh = 2 $\Omega $ the null point is obtained at some point J. When the cell is replaced by another one of emf $\varepsilon $ = $\varepsilon $2 the same null point J is found for Rh = 6 $\Omega $. The emf $\varepsilon $2 is, :
A.
0.3 V
B.
0.6 V
C.
0.5 V
D.
0.4 V
2019
Q431
JEE Mains
MCQ
10 Mar 2026
In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400 $\Omega $, the bridge
is balanced. On interchanging P and Q, the value of R, for balance, is 405 $\Omega $. The value of X is close to :
A.
402.5 ohm
B.
401.5 ohm
C.
403.5 ohm
D.
404.5 ohm
2019
Q432
JEE Mains
MCQ
10 Mar 2026
A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is -
A.
11 $ \times $ 10–5 W
B.
11 $ \times $ 10–3 W
C.
11 $ \times $ 105 W
D.
11 $ \times $ 10–4 W
2019
Q433
JEE Mains
MCQ
10 Mar 2026
The actual value of resistance R, shown in the figure is 30$\Omega $. This is measuered in an experiment as shown
using the standard formula R = ${V \over {\rm I}}$, where V and I are the readings of the voltmeter and ammeter, respectively. If the measured value of R is 5% less, then the internal resistance of the voltmeter is -
A.
570 $\Omega $
B.
600 $\Omega $
C.
350 $\Omega $
D.
35 $\Omega $
2019
Q434
JEE Mains
MCQ
10 Mar 2026
The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R1 has the colour code (Orange, Red, Brown). The resistors R2 and R4 are 80$\Omega $ and 40$\Omega $, respectively. Assuming that the colour code for the carbon resistors gives their accurate values, the colour code for the carbon resistor, used as R3, would be -
A.
Brown, Blue, Brown
B.
Grey, Black, Brown
C.
Red, Green, Brown
D.
Brown, Blue, Black
2019
Q435
JEE Mains
MCQ
10 Mar 2026
A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can be passed through this resistor is -
A.
0.4 mA
B.
20 mA
C.
63 mA
D.
100 mA
2019
Q436
JEE Mains
MCQ
10 Mar 2026
In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance R1 and R2 respectively, are -
A.
0.5, 0
B.
0, 1
C.
1, 2
D.
2, 2
2019
Q437
JEE Mains
MCQ
10 Mar 2026
A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf $\varepsilon $ and internal resistance r. A cell C having emf $\varepsilon $/2 and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in figure shows no deflection is –
A.
${{11} \over {12}}L$
B.
${{13} \over {24}}L$
C.
${{5} \over {12}}L$
D.
${{11} \over {24}}L$
2019
Q438
JEE Mains
MCQ
10 Mar 2026
A uniform metallic wire has a resistance of 18 $\Omega $ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is -
A.
12 $\Omega $
B.
2 $\Omega $
C.
4 $\Omega $
D.
8 $\Omega $
2019
Q439
JEE Mains
MCQ
10 Mar 2026
A carbon resistance has a following colour code. What is the value of the resistance ?
A.
530 k$\Omega $ $ \pm $ 5%
B.
5.3 M$\Omega $ $ \pm $ 5%
C.
6.4 M$\Omega $ $ \pm $ 5%
D.
64 k$\Omega $ $ \pm $ 10%
2019
Q440
JEE Mains
MCQ
10 Mar 2026
In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 $\Omega $, R3 = 100 $\Omega $ and R4 = 500 $\Omega $ and the reading of an ideal voltmeter across R4 is 5V, then the value of R2 will be :
A.
300 $\Omega $
B.
450 $\Omega $
C.
550 $\Omega $
D.
230 $\Omega $
2019
Q441
JEE Mains
MCQ
10 Mar 2026
When the switch S, in the circuit shown, is closed, then the value of current i will be :
A.
3A
B.
5A
C.
4A
D.
2A
2019
Q442
JEE Mains
MCQ
10 Mar 2026
Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is $\upsilon $. If the electron density in copper is 9 $ \times $ 1028/m3 the value of $\upsilon $. in mm/s is close to (Take charge of electron to be = 1.6 $ \times $ 10$-$19C)
A.
0.02
B.
3
C.
2
D.
0.2
2019
Q443
JEE Mains
MCQ
10 Mar 2026
A resistance is shown in the figure. Its value and tolerance are given respectively by :
A.
270 $\Omega $, 10 %
B.
27 k$\Omega $, 10 %
C.
27 k$\Omega $, 20 %
D.
270 $\Omega $, 5 %
2019
Q444
JEE Advanced
MSQ
10 Mar 2026
In the circuit shown, initially there is no charge on the capacitors and keys S1 and S2 are open. The values of the capacitors are C1 = 10$\mu $F, C2 = 30$\mu $F and C3 = C4 = 80$\mu $F.
Which of the statement(s) is/are correct?
Which of the statement(s) is/are correct?
A.
The key S1 is kept closed for long time such that capacitors are fully charged. Now, key S2 is closed, at this time, the instantaneous current across 30$\Omega $ resistor (between points P and Q) will be 0.2 A (round off to 1st decimal place).
B.
If key S1 is kept closed for long time such that capacitors are fully charged, the voltage across the capacitor C1 will be 4V.
C.
At time t = 0, the key S1 is closed, the instantaneous current in the closed circuit will be 25 mA.
D.
If key S1 is kept closed for long time such that the capacitors are fully charged, the voltage difference between points P and Q will be 10 V.
2019
Q445
JEE Advanced
MSQ
10 Mar 2026
Two identical moving coil galvanometers have 10$\Omega $ resistance and full scale deflection at 2$\mu $A current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an ammeter of 1 mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with R = 1000$\Omega $ resistor by using an ideal cell. Which of the following statement(s) is/are correct?
A.
The resistance of the voltmeter will be 100 k$\Omega $.
B.
The resistance of the ammeter will be 0.02 $\Omega $
(round off to 2nd decimal place).
(round off to 2nd decimal place).
C.
If the ideal cell is replaced by a cell having internal resistance of 5$\Omega $ then the measured value of R will be more than 1000$\Omega $.
D.
The measured value of R will be 978$\Omega $ < R < 982$\Omega $.
2018
Q446
JEE Mains
MCQ
10 Mar 2026
A galvanometer with its coil resistance 25 $\Omega $ requires a current of 1 mA for its full deflection. In order to construct an ammeter to read upto a current of 2 A, the approximate value of the shunt resistance should be :
A.
$2.5 \times {10^{ - 3}}\,\Omega $
B.
$1.25 \times {10^{ - 2}}\Omega $
C.
$1.25 \times {10^{ - 3}}\Omega $
D.
$2.5 \times {10^{ - 2}}\Omega $
2018
Q447
JEE Mains
MCQ
10 Mar 2026
In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistance of 11 k$\Omega $ are used. The figure of merit of the galvanometer is 60 $\mu A/$division. In the absence of shunt resistance, the galvanometer produces a deflection of $\theta $ = 9 divisions when current flows in the circuit. The value of the shunt resistance that can cause the deflection of $\theta /2,$ is closest to :
A.
500 $\Omega $
B.
220 $\Omega $
C.
55 $\Omega $
D.
110 $\Omega $
2018
Q448
JEE Mains
MCQ
10 Mar 2026
A heating element has a resistance of 100 $\Omega $ at room temperature. When it is connected to a supply of 220 V, a steady current of 2 A passes in it and temperature is 500oC more than room temperature. what is the temperature coefficient of resistance of the heating element ?
A.
0.5 $ \times $ 10$-$4 oC$-$1
B.
5 $ \times $ 10$-$4 oC$-$1
C.
1 $ \times $ 10$-$4 oC$-$1
D.
2 $ \times $ 10$-$4 oC$-$1
2018
Q449
JEE Mains
MCQ
10 Mar 2026
Two batteries with e.m.f 12 V and 13 V are connected in parallel across a load resistor of 10 $\Omega $. The
internal resistances of the two batteries are 1 $\Omega $ and 2 $\Omega $ respectively. The voltage across the load lies between :
A.
11.7 V and 11.8 V
B.
11.6 V and 11.7 V
C.
11.5 V and 11.6 V
D.
11.4 V and 11.5 V
2018
Q450
JEE Mains
MCQ
10 Mar 2026
On interchanging the resistances, the balance point of a meter bridge shifts to the left by 10 cm. The
resistance of their series combination is 1 k$\Omega $. How much was the resistance on the left slot before
interchanging the resistances?
A.
910 $\Omega $
B.
990 $\Omega $
C.
505 $\Omega $
D.
550 $\Omega $
