Electrostatic Potential and Capacitance — DPP 3

20 NEET questions from Electrostatic Potential and Capacitance, with answers and explanations. Attempt it as a timed test to get scoring, accuracy breakdown and mistake tracking.

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1
If 20 J of work has to be done to move an electric charge of 4 C from a point where potential is 10 volt to another point where potential is V volt find the value of V
  1. A 2 volt
  2. B 70 volt
  3. C 5 volt
  4. D 15 volt
Show answer

Correct answer: D

2
Four electric charges +q, +q, -q, and -q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges +q is
Electrostatic Potential and Capacitance – NEET-19912
  1. A Zero
  2. B $\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { 2 q } { L } ( 1 + \sqrt { 5 } )$
  3. C $\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { 2 q } { L } \left( 1 + \frac { 1 } { \sqrt { 5 } } \right)$
  4. D $\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { 2 q } { L } \left( 1 - \frac { 1 } { \sqrt { 5 } } \right)$
Show answer

Correct answer: D

3
Equipotentials at a great distance from a collection of charges whose total sum is not zero are approximately
  1. A Spheres
  2. B Planes
  3. C Paraboloids
  4. D Ellipsoids
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Correct answer: A

4
Three charges are placed at the vertex of an equilateral triangle as shown in figure. For what value of Q the electrostatic potential energy of the system is zero?
Electrostatic Potential and Capacitance – NEET-19915
  1. A -q
  2. B q/2
  3. C -2q
  4. D $\frac { - q } { 2 }$
Show answer

Correct answer: D

5
A, B, and C are three points in a uniform electric field. The electric potential is:
Electrostatic Potential and Capacitance – NEET-19906
  1. A maximum at C
  2. B same at all the three points A , B, and C
  3. C maximum at A
  4. D maximum at B
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Correct answer: D

6
If 40 J of work is to be done in moving a charge of 500 C from A to B. What is the potential difference?
  1. A 0.08 V
  2. B 0.10 V
  3. C 0.05 V
  4. D 0.02 V
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Correct answer: A

7
The work done against electrostatic force gets stored in which form of energy?
  1. A Thermal energy
  2. B Kinetic energy
  3. C Potential energy
  4. D Solar energy
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Correct answer: C

8
A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the center of the shell. The electric potential at a point P at distance $\frac { \mathrm { R } } { 2 }$ from the center of the shell is ( $Q = 10 \mu \mathrm { C } , q = - 2 \mu \mathrm { C }$ )
  1. A $\frac { 1.62 \times 10 ^ { 5 } } { \mathrm { R } }$ volt
  2. B $1.6 \times 10 ^ { 5 } \mathrm { R }$ volt
  3. C $\frac { 1.4 \times 10 ^ { 6 } } { R }$ volt
  4. D $\frac { 4 \times 10 ^ { - 6 } } { \mathrm { R } }$ volt
Show answer

Correct answer: A

9
Two charges $+ 6 \mu \mathrm { C }$ and $- 4 \mu \mathrm { C }$ are placed 15 cm apart as shown. At what distance from A to its right, the electrostatic potential is zero (distance in cm)
Electrostatic Potential and Capacitance – NEET-19909
  1. A 4, 9, 60
  2. B 9, 45, infinity
  3. C 20, 45, infinity
  4. D 9, 15, 45
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Correct answer: B

10
The potential of the electric field produced by point charge at any point (x, y, z) is given by $\mathrm { V } = 3 \mathrm { x } ^ { 2 } + 5$ where x, y are in meter and V is in volt. The intensity of electric field at (-2, 1, 0) is
  1. A $+ 17 \mathrm { Vm } ^ { - 1 }$
  2. B $- 17 \mathrm { Vm } ^ { - 1 }$
  3. C $+ 12 \mathrm { Vm } ^ { - 1 }$
  4. D $- 12 \mathrm { Vm } ^ { - 1 }$
Show answer

Correct answer: C

11
The charge stored in a capacitor is $20 \mu \mathrm { C }$ and the potential difference across the plates is 500 V. Its capacity is
  1. A $0.04 \mu \mathrm {~F}$
  2. B $10 ^ { - 2 } \mu \mathrm {~F}$
  3. C $2 \times 10 ^ { - 6 } \mu \mathrm {~F}$
  4. D $250 \mu \mathrm {~F}$
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Correct answer: A

12
Two charged spheres of radii $R _ { 1 }$ and $R _ { 2 }$ have equal surface charge density. The ratio of their potential is
  1. A $R _ { 1 } / R _ { 2 }$
  2. B $R _ { 2 } / R _ { 1 }$
  3. C $\left( R _ { 1 } / R _ { 2 } \right) ^ { 2 }$
  4. D $\left( R _ { 2 } / R _ { 1 } \right) ^ { 2 }$
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Correct answer: A

13
The charge on 3 µF capacitor shown in the figure is
Electrostatic Potential and Capacitance – NEET-19839
  1. A 2 μC
  2. B 10 μC
  3. C 6 μC
  4. D 8 μC
Show answer & explanation

Correct answer: B

$\frac{1}{C_{e q}}=\frac{1}{2}+\frac{1}{3}+\frac{1}{6}=\frac{6}{6}=1$
⇒ C$_{eq}$ = 1 mF
Q = CV = 10 μC
The capacitors are connected in series.
∴ Same charge will be stored in the 3 capacitors.
∴ Charge on 3 μF capacitor = 10 μC.
Therefore, option (B) is the correct answer.
14
Two charges of 10 μC are placed at the corners A and B of an equilateral triangle of side length 0.5 m in air. The electric potential at the third vertex C is
  1. A $36 \times 10 ^ { 4 } \mathrm {~V}$
  2. B $5 \times 10 ^ { 6 } \mathrm {~V}$
  3. C $7 \times 10 ^ { 9 } \mathrm {~V}$
  4. D $10 ^ { 7 } \mathrm {~V}$
Show answer

Correct answer: A

15
An electric dipole of moment p is placed normal to the lines of force of electric field intensity E, then the work done in deflecting it through an angle of $180 ^ { \circ }$ is
  1. A pE
  2. B 2pE
  3. C -2pE
  4. D zero
Show answer

Correct answer: D

16
The potential at a point due to a charge of $4 \times 10 ^ { - 7 } \mathrm { C }$ located 10 cm away is?
  1. A $3.6 \times 10 ^ { 5 } \mathrm {~V}$
  2. B $3.6 \times 10 ^ { 4 } \mathrm {~V}$
  3. C $4.5 \times 10 ^ { 4 } \mathrm {~V}$
  4. D $4.5 \times 10 ^ { 5 } \mathrm {~V}$
Show answer

Correct answer: B

17
The kinetic energy of an electron which is accelerated through the potential difference of 100 V is
  1. A $1.6 \times 10 ^ { - 17 } \mathrm {~J}$
  2. B $1.6 \times 10 ^ { - 14 } \mathrm {~J}$
  3. C $1.6 \times 10 ^ { - 10 } \mathrm {~J}$
  4. D $1.6 \times 10 ^ { - 8 } \mathrm {~J}$
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Correct answer: A

18
The electric potential at the surface of an atomic nucleus (z = 50) of radius $9 \times 10 ^ { - 15 } \mathrm {~m}$ is
  1. A 80 V
  2. B $8 \times 10 ^ { 6 } \mathrm {~V}$
  3. C 9 V
  4. D $9 \times 10 ^ { 5 } \mathrm {~V}$
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Correct answer: B

19
A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge
  1. A Remains constant because the electric field is uniform
  2. B Increases because the charge moves along the electric field
  3. C Decreases because the charge moves along the electric field
  4. D Decreases because the charge moves opposite to the electric field
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Correct answer: C

20
Electric potential at the center of a charged hollow metal sphere is
  1. A Zero
  2. B Twice as that on surface
  3. C Half of that on the surface
  4. D Same as that on the surface
Show answer

Correct answer: D

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