Current Electricity

381 Questions
2020 JEE Mains MCQ
JEE Main 2020 (Online) 5th September Morning Slot
A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance R1 in series with it. The additional resistance that should be connected in series with R1 to increase the range of the voltmeter to 0 – 2 V will be :
A.
G
B.
R1
C.
R1 + G
D.
R1 - G
2020 JEE Mains MCQ
JEE Main 2020 (Online) 4th September Evening Slot
The value of current i1 flowing from A to C in the circuit diagram is : JEE Main 2020 (Online) 4th September Evening Slot Physics - Current Electricity Question 253 English
A.
1 A
B.
4 A
C.
5 A
D.
2 A
2020 JEE Mains MCQ
JEE Main 2020 (Online) 4th September Morning Slot
A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5 V, the power dissipated within the internal resistance is :
A.
0.50 W
B.
0.072 W
C.
0.10 W
D.
0.125 W
2020 JEE Mains MCQ
JEE Main 2020 (Online) 3rd September Evening Slot
Two resistors 400$\Omega $ and 800$\Omega $ are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k$\Omega $ across 400 $\Omega $ resistor is close to :
A.
2.05 V
B.
1.95 V
C.
2 V
D.
1.8 V
2020 JEE Mains MCQ
JEE Main 2020 (Online) 3rd September Morning Slot
Model a torch battery of length $l$ to be made up of a thin cylindrical bar of radius ‘a’ and a concentric thin cylindrical shell of radius ‘b’ filled in between with an electrolyte of resistivity $\rho $ (see figure). If the battery is connected to a resistance of value R, the maximum Joule heating in R will take place for : JEE Main 2020 (Online) 3rd September Morning Slot Physics - Current Electricity Question 255 English
A.
$R = {{2\rho } \over {\pi l}}\ln \left( {{b \over a}} \right)$
B.
$R = {\rho \over {\pi l}}\ln \left( {{b \over a}} \right)$
C.
$R = {\rho \over {2\pi l}}\ln \left( {{b \over a}} \right)$
D.
$R = {\rho \over {2\pi l}}\left( {{b \over a}} \right)$
2020 JEE Mains MCQ
JEE Main 2020 (Online) 2nd September Evening Slot
A potentiometer wire PQ of 1 m length is connected to a standard cell E1. Another cell E2 of emf 1.02 V is connected with a resistance ‘r’ and switch S (as shown in figure). With switch S open, the null position is obtained at a distance of 49 cm from Q. The potential gradient in the potentiometer wire is : JEE Main 2020 (Online) 2nd September Evening Slot Physics - Current Electricity Question 256 English
A.
0.04 V/cm
B.
0.01 V/cm
C.
0.02 V/cm
D.
0.03 V/cm
2020 JEE Mains MCQ
JEE Main 2020 (Online) 2nd September Morning Slot
Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity $\rho $C, $\rho $T, $\rho $M and $\rho $A respectively. Then :
A.
$\rho $C > $\rho $A > $\rho $T
B.
$\rho $M > $\rho $A > $\rho $C
C.
$\rho $A > $\rho $T > $\rho $C
D.
$\rho $A > $\rho $M > $\rho $C
2020 JEE Mains MCQ
JEE Main 2020 (Online) 9th January Morning Slot
In the given circuit diagram, a wire is joining points B and D. The current in this wire is : JEE Main 2020 (Online) 9th January Morning Slot Physics - Current Electricity Question 260 English
A.
4 A
B.
2 A
C.
zero
D.
0.4 A
2020 JEE Mains MCQ
JEE Main 2020 (Online) 8th January Evening Slot
A galvanometer having a coil resistance 100 $\Omega $ gives a full scale deflection when a current of 1 mA is passed through it. What is the value of the resistance which can convert this galvanometer into a voltmeter giving full scale deflection for a potential difference of 10 V?
A.
8.9 k$\Omega $
B.
10 k$\Omega $
C.
9.9 k$\Omega $
D.
7.9 k$\Omega $
2020 JEE Mains MCQ
JEE Main 2020 (Online) 8th January Morning Slot
The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resistance of 20$\Omega $, the null point on it is found to be a 1000 cm. The resistance of whole wire is :
A.
80$\Omega $
B.
60$\Omega $
C.
120$\Omega $
D.
100$\Omega $
2020 JEE Mains MCQ
JEE Main 2020 (Online) 7th January Evening Slot
In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters of 1 kW. The voltage of electric main is 220 V. The minimum fuse capacity (rated value) of the building will be :
A.
15 A
B.
20 A
C.
25 A
D.
10 A
2020 JEE Mains MCQ
JEE Main 2020 (Online) 7th January Morning Slot
The current I1 (in A) flowing through 1 $\Omega $ resistor in the following circuit is : JEE Main 2020 (Online) 7th January Morning Slot Physics - Current Electricity Question 267 English
A.
0.4
B.
0.25
C.
0.2
D.
0.5
2020 JEE Mains Numerical
JEE Main 2020 (Online) 4th September Evening Slot
Four resistances 40 $\Omega $, 60 $\Omega $, 90 $\Omega $ and 110 $\Omega $ make the arms of a quadrilateral ABCD. Across AC is a battery of emf 40 V and internal resistance negligible.The potential difference across BD in V is _______. JEE Main 2020 (Online) 4th September Evening Slot Physics - Current Electricity Question 252 English
2020 JEE Mains Numerical
JEE Main 2020 (Online) 9th January Evening Slot
In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing length is $l$ = 25 cm. If R is replaced by a wire of half length and half diameter that of R of same material, then the balancing distance $l'$ (in cm) will now be________. JEE Main 2020 (Online) 9th January Evening Slot Physics - Current Electricity Question 259 English
2020 JEE Mains Numerical
JEE Main 2020 (Online) 8th January Evening Slot
The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20$\Omega $ and 5$\Omega $, is connected to the parallel combination of two resistors 30$\Omega $ and R $\Omega $. The voltage difference across the battery of internal resistance 20$\Omega $ is zero, the value of R (in $\Omega $) is : _______
2020 JEE Mains Numerical
JEE Main 2020 (Online) 8th January Morning Slot
Four resistances of 15$\Omega $, 12$\Omega $, 4$\Omega $ and 10$\Omega $ respectively in cyclic order to form Wheatstone's network. The resistance that is to be connected in parallel with the resistance of 10$\Omega $ to balance the network is _____$\Omega $.
2020 JEE Mains Numerical
JEE Main 2020 (Online) 7th January Evening Slot
The balancing length for a cell is 560 cm in a potentiometer experiment. When an external resistance of 10 $\Omega $ is connected in parallel to the cell, the balancing length changes by 60 cm. If the internal resistance of the ceil is ${N \over {10}}$ $\Omega $ , where N is an integer then value of N is .............
2019 JEE Mains MCQ
JEE Main 2019 (Online) 12th April Evening Slot
A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I0(I0 > Ig) by connecting a shunt resistance RA to it and (ii) into a voltmeter of range 0 to V (V = GI0) by connecting a series resistance RV to it. Then,
A.
${R_A}{R_V} = {G^2}$ and ${{{R_A}} \over {{R_V}}} = {{{I_g}} \over {\left( {{I_0} - {I_g}} \right)}}$
B.
${R_A}{R_V} = {G^2}\left( {{{{I_g}} \over {{I_0} - {I_g}}}} \right)$ and ${{{R_A}} \over {{R_V}}} = {\left( {{{{I_0} - {I_g}} \over {{I_g}}}} \right)^2}$
C.
${R_A}{R_V} = {G^2}\left( {{{{I_0} - {I_g}} \over {{I_g}}}} \right)$ and ${{{R_A}} \over {{R_V}}} = {\left( {{{{I_g}} \over {{I_0} - {I_g}}}} \right)^2}$
D.
${R_A}{R_V} = {G^2}$ and ${{{R_A}} \over {{R_V}}} = {\left( {{{{I_g}} \over {{I_0} - {I_g}}}} \right)^2}$
2019 JEE Mains MCQ
JEE Main 2019 (Online) 12th April Morning Slot
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 : JEE Main 2019 (Online) 12th April Morning Slot Physics - Current Electricity Question 269 English
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 JEE Mains MCQ
JEE Main 2019 (Online) 12th April Morning Slot
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: JEE Main 2019 (Online) 12th April Morning Slot Physics - Current Electricity Question 271 English
A.
16 $\Omega $
B.
1 $\Omega $
C.
8 $\Omega $
D.
6 $\Omega $
2019 JEE Mains MCQ
JEE Main 2019 (Online) 12th April Morning Slot
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.
JEE Main 2019 (Online) 12th April Morning Slot Physics - Current Electricity Question 270 English Option 1
B.
JEE Main 2019 (Online) 12th April Morning Slot Physics - Current Electricity Question 270 English Option 2
C.
JEE Main 2019 (Online) 12th April Morning Slot Physics - Current Electricity Question 270 English Option 3
D.
JEE Main 2019 (Online) 12th April Morning Slot Physics - Current Electricity Question 270 English Option 4
2019 JEE Mains MCQ
JEE Main 2019 (Online) 10th April Evening Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 10th April Morning Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 10th April Morning Slot
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 : JEE Main 2019 (Online) 10th April Morning Slot Physics - Current Electricity Question 275 English
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 JEE Mains MCQ
JEE Main 2019 (Online) 10th April Morning Slot
A current of 5 A passes through a copper conductor (resistivity = 1.7 × 10–8 $\Omega $m) of radius of cross-section 5 mm. Find the mobility of the charges if their drift velocity is 1.1 × 10–3 m/s.
A.
1.3 m2/Vs
B.
1.0 m2/Vs
C.
1.8 m2/Vs
D.
1.5 m2/Vs
2019 JEE Mains MCQ
JEE Main 2019 (Online) 10th April Morning Slot
In the given circuit, an ideal voltmeter connected across the 10$\Omega $ resistance reads 2V. The internal resistance r, of each cell is: JEE Main 2019 (Online) 10th April Morning Slot Physics - Current Electricity Question 273 English
A.
1.5 $\Omega $
B.
1 $\Omega $
C.
0.5 $\Omega $
D.
0 $\Omega $
2019 JEE Mains MCQ
JEE Main 2019 (Online) 10th April Morning Slot
In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure JEE Main 2019 (Online) 10th April Morning Slot Physics - Current Electricity Question 276 English
SI. No. R($\Omega $) l(cm)
1. 1000 60
2. 100 13
3. 10 1.5
4. 1 1.0
Which of the readings is inconsistent?
A.
4
B.
3
C.
2
D.
1
2019 JEE Mains MCQ
JEE Main 2019 (Online) 9th April Evening Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 9th April Evening Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 9th April Evening Slot
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)
A.
10–8 $\Omega $m
B.
10–7 $\Omega $m
C.
10–5 $\Omega $m
D.
10–6 $\Omega $m
2019 JEE Mains MCQ
JEE Main 2019 (Online) 9th April Morning Slot
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) JEE Main 2019 (Online) 9th April Morning Slot Physics - Current Electricity Question 282 English
A.
${7 \over {64}}R$
B.
${1 \over {16}}R$
C.
R
D.
${3 \over {4}}R$
2019 JEE Mains MCQ
JEE Main 2019 (Online) 9th April Morning Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 8th April Evening Slot
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 JEE Main 2019 (Online) 8th April Evening Slot Physics - Current Electricity Question 283 English
A.
13/24
B.
7/18
C.
9/32
D.
20/3
2019 JEE Mains MCQ
JEE Main 2019 (Online) 8th April Evening Slot
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 :- JEE Main 2019 (Online) 8th April Evening Slot Physics - Current Electricity Question 285 English
A.
0.25 V
B.
0.20 V
C.
0.50V
D.
0.75 V
2019 JEE Mains MCQ
JEE Main 2019 (Online) 8th April Evening Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 8th April Morning Slot
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): JEE Main 2019 (Online) 8th April Morning Slot Physics - Current Electricity Question 286 English
A.
3.3
B.
2.7
C.
2.3
D.
3.7
2019 JEE Mains MCQ
JEE Main 2019 (Online) 8th April Morning Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 12th January Evening Slot
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 :

JEE Main 2019 (Online) 12th January Evening Slot Physics - Current Electricity Question 288 English
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 JEE Mains MCQ
JEE Main 2019 (Online) 12th January Evening Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 12th January Morning Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 12th January Morning Slot
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 ?

JEE Main 2019 (Online) 12th January Morning Slot Physics - Current Electricity Question 291 English
A.
0.3 m
B.
0.25 m
C.
0.35 m
D.
0.2 m
2019 JEE Mains MCQ
JEE Main 2019 (Online) 12th January Morning Slot
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] :

JEE Main 2019 (Online) 12th January Morning Slot Physics - Current Electricity Question 293 English
A.
5 $\Omega $
B.
25 $\Omega $
C.
12 $\Omega $
D.
22 $\Omega $
2019 JEE Mains MCQ
JEE Main 2019 (Online) 12th January Morning Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 11th January Evening Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 11th January Evening Slot
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 :

JEE Main 2019 (Online) 11th January Evening Slot Physics - Current Electricity Question 294 English
A.
40 $\Omega $
B.
30 $\Omega $
C.
20 $\Omega $
D.
60 $\Omega $
2019 JEE Mains MCQ
JEE Main 2019 (Online) 11th January Evening Slot
In the circuit shown, the potential difference between A and B is :

JEE Main 2019 (Online) 11th January Evening Slot Physics - Current Electricity Question 295 English
A.
6 V
B.
3 V
C.
2 V
D.
1 V
2019 JEE Mains MCQ
JEE Main 2019 (Online) 11th January Morning Slot
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 JEE Mains MCQ
JEE Main 2019 (Online) 11th January Morning Slot
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, :

JEE Main 2019 (Online) 11th January Morning Slot Physics - Current Electricity Question 298 English
A.
0.3 V
B.
0.6 V
C.
0.5 V
D.
0.4 V
2019 JEE Mains MCQ
JEE Main 2019 (Online) 11th January Morning Slot
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 :

JEE Main 2019 (Online) 11th January Morning Slot Physics - Current Electricity Question 297 English
A.
402.5 ohm
B.
401.5 ohm
C.
403.5 ohm
D.
404.5 ohm
2019 JEE Mains MCQ
JEE Main 2019 (Online) 10th January Evening Slot
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