What is the equivalent capacitance between A and D of the network shown in Fig.?

A. 200pF

B. 100pF

200
C. 3 pF

D. 50pF

Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.
 Figure shows five capacitors connected across a 12 V power supply. What is the
charge on the 2μF capacitor?

A. 6μC

B. 8μC

C. 10μC

D. 12μC

Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

In a parallel-plate capacitor of capacitance C , a metal sheet is inserted between the

plates parallel to them. The thickness of the sheet is half of the separation between the
plate The capacitance now becomes

A. 4C

B. 2C

C. C/2

D. C/4
Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

What is the effective capacitance between points X and Y?

A. 8μF

B. 9μF

C. 10μF

D. 12μF

Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

The capacitance of a parallel plate capacitor is C a (Fig. a). A dielectric of dielectric

constant K is inserted as shown in fig (b) and (c) then
 A. both Cb , Cc > Ca

B. C c > C a while C b < C a

C. both Cb , Cc < Ca

D. C a = Cb = Cc

Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

Figure (i) shows two capacitors connected in series and connected by a battery. The
graph (ii) shows the variation of potential as one moves from left to right on the
branch AB containing the capacitors. Then

A. C 1 = C2

B. C 1 < C2

C. C 1 > C2

C 1 and C 2 cannot be
D. compared

Question No.

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Each question has multiple options out of which ONLY ONE is correct.
 For the circuit shown in figure, which of the following statements is true?

A. With S1 closed V 1 = 15 V, V 2 = 20 V

B. With S3 closed V 1 = V 2 = 25 V

C. With S1 and S2 closed V 1 = V 2 = 0

D. With S1 and S3 closed, V 1 = 30 V, V 2 = 20 V

Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

In a given network the equivalent capacitance between A and B is

[C 1 = C 4 = 1μF, C 2 = C 3 = 2μF]

A. 3μF

B. 6μF
 C. 4.5μF

D. 2.5μF

Question No.

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

What is the effective capacitance (in μF ) between points X and Y ?

A. 5

B. 6

C. 7

D. 8

Question No.

10

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.
 In the circuit given below, what is the charge in μC , on the capacitor having 5μF?

A. 6

B. 7

C. 8

D. 9

Question No.

11

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

Three capacitors each of 4 μF are to be connected in such a way that the effective
capacitance is 6 μF . This can be done by connecting them

A. all in series

B. all in parallel

two in parallel and one in

C. series

two in series and one in

D. parallel
Question No.

12

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

A positive charge q is given to each plate of a parallel plate air capacitor having plate
area A and plate separation d, then

since both the plates are

identically charged,
therefore, capacitance
A. becomes equal to zero

energy stored in the space

between the capacitor plates
q2
B. is equal to 2
ε0 A

no charge appears on inner

C. surface of the plates

potential difference between

2qd
D. the plates is equal to
ε A
0

Question No.

13

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

Two identical condensers M and N are connected in series with a battery. The space
between the plates of M is completely filled with a dielectric medium of dielectric
constant 8 and a copper plate of thickness d2 is introduced between the plates of N . (
d is the distance between the plates). Then potential differences across M and N are,
respectively, in the ratio

A. 1 :4

B. 4 :1

C. 3 :8
 D. 1 :6

Question No.

14

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

Two spherical conductors A and B of radii a and b (b > a) are placed concentrically
in air. The two are connected by a copper wire as shown in figure. Then the equivalent
capacitance of the system is

4πε 0 ab
A.
b−a

B. 4πε 0 (a + b)

C. 4πε 0 b

D. 4πε 0 a

Question No.

15

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

Four metallic plates, each with a surface area of one side A , are placed at a distance
d from each other. The plates are connected as shown in the figure. Then the
capacitance of the system between a and b is
 3ε 0 A
A.
d

2ε 0 A
B.
d

2ε 0 A
C.
3d

3ε 0 A
D.
2d

Question No.

16

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

In the arrangement shown all the plates have equal area A and spacing d between
them. The equivalent capacitance between point P and Q will be,

ε0 A
A. d

ε0 A
B.
3d

ε0 A
C.
2d

2ε 0 A
D.
d

Question No.

17

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.
 Four concentric conducting shells A, B, C and D are arranged as shown in figure. A
charge +q is given to the outer most shell D. Shell B and C are connected by
conducting wire while Shell A and C is earthed. The equivalent capacitance of system
is

A. 64πε 0 a

B. 16πε 0 a

C. 4πε 0 a

D. none of these

Question No.

18

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.

When air in a capacitor is replaced by a medium of dielectric constant K , the

capacitance

A. decreases K times

B. increases K times

C. increases K 2 times

D. remains constant

Question No.

19
 Only One Option Correct Type
Each question has multiple options out of which ONLY ONE is correct.

A, B, C, D, E, F are conduct- ing plates each of area A and any two consecutive plates
separated by a distance d. The net energy stored in the system after the switch S is
closed is

3ε 0 A
A.
2d
V2

5ε 0 A
B.
12 d
V2

ε0 A
C. 2 d V2

ε0 A
D. d
V2

Question No.

20

Only One Option Correct Type

Each question has multiple options out of which ONLY ONE is correct.
Four metallic plates A, B, C and D of same size with same separations between them
are arranged as shown in the figure. Dielectric slabs of dielectric constant 2 are
arranged between B, C and C, D respectively. The effective capacitance between A and
C is

A. C

B. 4 C
3

C. 4 C
5

D. 3C