# MCQ Questions for Class 12 Physics Chapter 2 Electrostatic Potential and Capacitance with Answers

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## Electrostatic Potential and Capacitance Class 12 MCQs Questions with Answers

Solve this Electrostatic Potential and Capacitance Multiple Choice Questions of Class 12 Physics Chapter 2 MCQ, so as not to miss out on any concept from being clear about what they mean!

Multiple Choice Questions

Question 1.
A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge
(a) remains a constant because the electric field is uniform.
(b) increases because the charge moves along the electric field.
(c) decreases because the charge moves along the electric field.
(d) decreases because the charge moves opposite to the electric field.

Answer: (c) decreases because the charge moves along the electric field.

Question 2.
The figure below shows some equipotential lines distributed in space. A charged object is moved from point A to point B. (a) The work done in figure (i) is the greatest.
(b) The work done in figure (ii) is least.
(c) The work done is the same in figure (i), figure (ii) and figure (iii).
(d) The work done in figure (iii) is greater than figure (ii) but equal to that in figure (i).

Answer: (c) The work done is the same in figure (i), figure (ii) and figure (iii).

Question 3.
The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statements are made in this regard:
S1: At any point inside the sphere, electric intensity is zero.
S2: At any point inside the sphere, the electrostatic potential is 100 V. Which of the following is a correct statement?
(a) S1 is true but S2 is false.
(b) Both S1 and S2 are false.
(c) S1 is true, S2 is also true and S1 is the cause of S2.
(d) S1 is true, S2 is also true but the statements are independent.

Answer: (c) S1 is true, S2 is also true and S1 is the cause of S2.

Question 4.
A parallel plate capacitor is made of two dielectric blocks in series. One of the blocks has thickness d1 and dielectric constant k1 and the other has thickness d2 and dielectric constant k2 as shown in figure. This arrangement can be thought as a dielectric slab of thickness d (= d1 + d2) and effective dielectric constant k. The k is (a) $$\frac { k_1d_1+k_2d_2 }{k_1+d_2}$$
(b) $$\frac { k_1d_1+k_2d_2 }{k_1-d_2}$$
(c) $$\frac { k_1d_2(d_2+d_2) }{(k_1d_1+k_2d_2)}$$
(d) $$\frac { 2k_1k_2}{k_1+k_2}$$

Answer: (c) $$\frac { k_1d_2(d_2+d_2) }{(k_1d_1+k_2d_2)}$$

Question 5.
Consider a uniform electric field in the z direction. The potential is not a constant
(a) in all space.
(b) for any x for a given z.
(c) for any y for a given z.
(d) on the x-y plane for a given z.

Question 6.
For equipotential surfaces, which statement is not correct?
(a) are closer in regions of large electric fields compared to regions of lower electric fields.
(b) will always be equally spaced.
(c) will be more crowded near sharp edges of a conductor.
(d) will be more crowded near regions of large charge densities.

Answer: (b) will always be equally spaced.

Question 7.
In a region of constant potential
(a) the electric field is uniform
(b) the electric field is zero
(c) there can be charge inside the region.
(d) the electric field shall necessarily change if a charge is placed outside the region.

Answer: (b) the electric field is zero

Question 8.
If a conductor has a potential V ≠ 0 and there are no charges anywhere else outside, then
(a) there must be charges on the surface or inside itself.
(b) there will be some charge in the body of the conductor.
(c) there must be charges only on the surface.
(d) there must be charges inside the surface.

Answer: (a) there must be charges on the surface or inside itself.

Question 9.
In an isolated parallel plate capacitor of capacitance C, the four surfaces have charges Q1, Q2, Q3 and Q4 as shown. The potential difference between the plates is (a) $$\frac { Q_1+Q_2+Q_3+Q_4}{2C}$$
(b) $$\frac { Q_2+Q_3}{2C}$$
(c) $$\frac { Q_2-Q_3 }{2C}$$
(d) $$\frac { Q_1+Q_4}{2C}$$

Answer: (c) $$\frac { Q_2-Q_3 }{2C}$$

Question 10.
Three charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to (a) $$\frac { -q}{1+√2}$$
(b) $$\frac { -√2q}{1+√2}$$
(c) -2q
(d) +q

Answer: (b) $$\frac { -√2q}{1+√2}$$

Fill in the Blanks

Question 1.
Electrostatic potential is ………….. throughout the volume of the conductor and has the same value (as inside) on its surface.

Question 2.
Electric field at the surface of a charged conductor is ……………

Question 3.
Capacitance of the earth depends upon its …………….

Question 4.
Capacitance of a capacitor does not depend upon the …………… and ………….. stored in it.

Question 5.
The capacitance of a parallel plate capacitor is ……………

Question 6.
When capacitors are connected in parallel, the net capacitance is the …………… of the individual capacitance.

Question 7.
When capacitors are connected in series, the reciprocal of the net capacitance is the sum of the …………….. of the individual
capacitance.

Question 8.
The potential energy of a charge q placed at potential V is ………………

Question 9.
It is safer to be inside the car rather than standing outside under a tree during lightning; this is based on ……………. concept.

Question 10.
Capacitor plates are charged by a battery. After charging, battery is disconnected and a dielectric slab is inserted between the plates; the charge on the plates of capacitor ……………….

Question 11.
The amount of work done in bringing a charge q from infinity to a point un-accelerated is equal to ……………. acquired by the charge.