FUTURE BHUBANESWAR SCHOOL
Electric Potential and Capacitance
Assignment Class-XII
1. The potential to which a conductor is raised, depends on
a. the amount of charge
b. geometry and size of the conductor
c. both (a) and (b)
d. only on (a)
2. The earth has volume V and surface area A, then capacitance would be
𝐴 𝑉 𝑉 𝐴
a. 4𝜋𝜀0 𝑉 b. 4𝜋𝜀0 𝐴 c. 12𝜋𝜀0 𝐴 d. 12𝜋𝜀0 𝑉
3. 8 drops of Hg are combined to form a bigger single drop. The capacitance of a single small drop and
that of the single big drop will be in the ratio of
a. 1:2 b. 8:1 c. 1:8 d. none of these
4. Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of
surface charge densities of the spheres (𝜎1 /𝜎2 ) is
𝑅1 𝑅2 𝑅 𝑅12
a. b. c. √𝑅1 d.
𝑅2 𝑅1 2 𝑅22
5. The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate
is halved. If C is its initial capacitance, its final capacitance is equal to
a. 2C b. 4C c. 4C d. C/4
6. Capacitors are used in electrical circuits where appliances need more
a. Current b. Watt c. Voltage d. Resistance
7. Across each of two capacitors of capacitance 1 µF and 4 µF, a potential difference of 10 V is applied.
Then positive plate of one is connected to the negative plate of the other, and negative plate of one is
connected to the positive plate of the other. After contact,
a. Charge on each is zero b. Charge on each is same but non-zero
c. Charge on each is different but non-zero d. None of these
8. Three capacitors 2 µF, 3 µF and 6 µF are joined in series with each other. The equivalent capacitance
is
a. 1/2 µF b. 1 µF c. 2 µF d. 11 µF
9. The effective capacitances of two capacitors are 3 µF and 16 µF, when they are connected in series
and parallel respectively. The capacitances of two capacitors are
a. 10 µF, 6 µF b. 8 µF, 8 µF c. 12 µF, 4 µF d. 1.2 µF, 1.8 µF
10. How many 1 µF capacitors must be connected in parallel to store a charge of 1 C with a potential of
110 V across the capacitors?
a. 990 b. 900 c. 9090 d. 909
11. Three capacitors of capacitances 1 µF, 2 µF and 3 µF are connected in series and a p.d. of 11 V is
applied across the combination. Then, the p.d. across the plates of 1 µF capacitor is
a. 2 V b. 4 V c. 1 V d. 6 V
12. The equivalent capacitance of the combination shown in the figure is
a. 3C b. 2C c. C/2 d. 3C/2
13. Equivalent capacitance between A and B is
a. 8 µF b. 6 µF c. 268 µF d. 10/38 µF
@Debasish Sahoo Page 1 of 7
, 14. Four capacitors are connected in a circuit as shown in figure. The effective
capacitance in between P and Q will be
a. 10 µF b. 2 µF c. 5 µF d. 7.5 µF
15. Equivalent capacitance of the given combi- nation of five capacitors is
a. 4 µF b. 8 µF c. 10 µF d. 120 µF
16. For the given circuit the equivalent capacitance between P and Q is
a. 6C b. 4C c. 3C/4 d. 6C/11
17. In the circuit shown in the figure, the potential difference across the 4.5 µF
capacitor is
a. 8/3 volt b. 4 volt c. 6 volt d. 8 volt
18. A capacitor of capacitance C has charge Q and stored energy is W. If the charge
is increased to 2Q, the stored energy will be
c. W/4 b. W/2 c. 2W d. 4W
19. A 4 µF capacitor is charged to 400 V. If its plates are joined through a resistanc of 2 kΩ , then heat
produced in the resistance is
a. 0.16 J b. 0.64 J c. 0.32 J d. 1.28 J
20. A capacitor is charged by connecting a battery across its plates. It stores energy U. Now the battery is
disconnected and another identical capacitor is connected across it, then the energy stored by both
capacitors of the system will be [CBSE PMT 2000]
a. U b. U/2 c. 2U d. 3/2 U
21. Two parallel plate capacitors X and Y, have the same area of plates and same separation between
plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series
to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is
a. 4:1 b. 2:1 c. 1:4 d. 1:2
22. A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted
between the plates of the capacitor, then which of the following does not change?
a. Electric field between the plates b. Potential difference across the plates
c. Charge on the plates d. Energy stored in the capacitor
23. When a dielectric material is introduced between the plates of a charged condenser, then electric
field between the plates
a. Decreases b. Increases c. Remains constant d. First (c) and then (a)
24. If the distance between the plates of parallel plate capacitor is halved and the dielectric constant is
doubled, then its capacity will
a. Increase by 16 times b. Increase by 4 times
b. Increase by 2 times d. Remain the same
25. A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a
capacitance C. If the oil is removed, then capacitance of the capacitor becomes
𝐶 𝐶
a. √2𝐶 b. c. 2C d.
√2 2
26. A parallel plate capacitor is charged by a battery to a potential difference of 'V' volts. After the
charging battery is disconnected, a dielectric slab with dielectric constant 'K' is inserted between its
plates. The potential difference across the plates of the capacitor will become
@Debasish Sahoo Page 2 of 7
Electric Potential and Capacitance
Assignment Class-XII
1. The potential to which a conductor is raised, depends on
a. the amount of charge
b. geometry and size of the conductor
c. both (a) and (b)
d. only on (a)
2. The earth has volume V and surface area A, then capacitance would be
𝐴 𝑉 𝑉 𝐴
a. 4𝜋𝜀0 𝑉 b. 4𝜋𝜀0 𝐴 c. 12𝜋𝜀0 𝐴 d. 12𝜋𝜀0 𝑉
3. 8 drops of Hg are combined to form a bigger single drop. The capacitance of a single small drop and
that of the single big drop will be in the ratio of
a. 1:2 b. 8:1 c. 1:8 d. none of these
4. Two charged spherical conductors of radius R1 and R2 are connected by a wire. Then the ratio of
surface charge densities of the spheres (𝜎1 /𝜎2 ) is
𝑅1 𝑅2 𝑅 𝑅12
a. b. c. √𝑅1 d.
𝑅2 𝑅1 2 𝑅22
5. The distance between the two plates of a parallel plate capacitor is doubled and the area of each plate
is halved. If C is its initial capacitance, its final capacitance is equal to
a. 2C b. 4C c. 4C d. C/4
6. Capacitors are used in electrical circuits where appliances need more
a. Current b. Watt c. Voltage d. Resistance
7. Across each of two capacitors of capacitance 1 µF and 4 µF, a potential difference of 10 V is applied.
Then positive plate of one is connected to the negative plate of the other, and negative plate of one is
connected to the positive plate of the other. After contact,
a. Charge on each is zero b. Charge on each is same but non-zero
c. Charge on each is different but non-zero d. None of these
8. Three capacitors 2 µF, 3 µF and 6 µF are joined in series with each other. The equivalent capacitance
is
a. 1/2 µF b. 1 µF c. 2 µF d. 11 µF
9. The effective capacitances of two capacitors are 3 µF and 16 µF, when they are connected in series
and parallel respectively. The capacitances of two capacitors are
a. 10 µF, 6 µF b. 8 µF, 8 µF c. 12 µF, 4 µF d. 1.2 µF, 1.8 µF
10. How many 1 µF capacitors must be connected in parallel to store a charge of 1 C with a potential of
110 V across the capacitors?
a. 990 b. 900 c. 9090 d. 909
11. Three capacitors of capacitances 1 µF, 2 µF and 3 µF are connected in series and a p.d. of 11 V is
applied across the combination. Then, the p.d. across the plates of 1 µF capacitor is
a. 2 V b. 4 V c. 1 V d. 6 V
12. The equivalent capacitance of the combination shown in the figure is
a. 3C b. 2C c. C/2 d. 3C/2
13. Equivalent capacitance between A and B is
a. 8 µF b. 6 µF c. 268 µF d. 10/38 µF
@Debasish Sahoo Page 1 of 7
, 14. Four capacitors are connected in a circuit as shown in figure. The effective
capacitance in between P and Q will be
a. 10 µF b. 2 µF c. 5 µF d. 7.5 µF
15. Equivalent capacitance of the given combi- nation of five capacitors is
a. 4 µF b. 8 µF c. 10 µF d. 120 µF
16. For the given circuit the equivalent capacitance between P and Q is
a. 6C b. 4C c. 3C/4 d. 6C/11
17. In the circuit shown in the figure, the potential difference across the 4.5 µF
capacitor is
a. 8/3 volt b. 4 volt c. 6 volt d. 8 volt
18. A capacitor of capacitance C has charge Q and stored energy is W. If the charge
is increased to 2Q, the stored energy will be
c. W/4 b. W/2 c. 2W d. 4W
19. A 4 µF capacitor is charged to 400 V. If its plates are joined through a resistanc of 2 kΩ , then heat
produced in the resistance is
a. 0.16 J b. 0.64 J c. 0.32 J d. 1.28 J
20. A capacitor is charged by connecting a battery across its plates. It stores energy U. Now the battery is
disconnected and another identical capacitor is connected across it, then the energy stored by both
capacitors of the system will be [CBSE PMT 2000]
a. U b. U/2 c. 2U d. 3/2 U
21. Two parallel plate capacitors X and Y, have the same area of plates and same separation between
plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series
to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is
a. 4:1 b. 2:1 c. 1:4 d. 1:2
22. A parallel plate air capacitor is charged and then isolated. When a dielectric material is inserted
between the plates of the capacitor, then which of the following does not change?
a. Electric field between the plates b. Potential difference across the plates
c. Charge on the plates d. Energy stored in the capacitor
23. When a dielectric material is introduced between the plates of a charged condenser, then electric
field between the plates
a. Decreases b. Increases c. Remains constant d. First (c) and then (a)
24. If the distance between the plates of parallel plate capacitor is halved and the dielectric constant is
doubled, then its capacity will
a. Increase by 16 times b. Increase by 4 times
b. Increase by 2 times d. Remain the same
25. A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a
capacitance C. If the oil is removed, then capacitance of the capacitor becomes
𝐶 𝐶
a. √2𝐶 b. c. 2C d.
√2 2
26. A parallel plate capacitor is charged by a battery to a potential difference of 'V' volts. After the
charging battery is disconnected, a dielectric slab with dielectric constant 'K' is inserted between its
plates. The potential difference across the plates of the capacitor will become
@Debasish Sahoo Page 2 of 7
