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The capacitance $(C)$ for an isolated conducting sphere of radius $a$ is given by $4 π ε_{0} a$ . This sphere is enclosed within an earthed concentric sphere. The ratio of the radii of the spheres being $\frac{n}{(n - 1)}$ then the capacitance of such a sphere will be increased by a factor-

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Important Questions on Capacitance

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-1>Q 21

Four identical plates

1, 2, 3

and

4

are placed parallel to each other at equal distance as shown in the figure. Plates

1

and

4

are joined together and the space between

2

and

3

is filled with a dielectric of dielectric constant

k = 2

. The capacitance of the system between

1

and

3 & 2

and

4

are

C_{1}

and

C_{2}

respectively. The ratio

\frac{C_{1}}{C_{2}}

is-

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-1>Q 24

In the circuit shows, all capacitors are identical., Initially, the switch is open and the capacitor marked

(C_{1})

is the only one charged. After the switch is closed and the equilibrium is reestablished, the charge on the capacitor marked

(C_{1})

Q

. What was the initial charge

Q_{0}

on that capacitor?

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-2>Q 2

A number of capacitors, each of capacitance, $1 µ F$ and each one of which gets punctured if a potential difference just exceeding, $500 V$ is applied, are provided. Then an arrangement suitable for giving a capacitor of capacitance, $3 µ F$ across which, $2000 V$ may be applied requires at least:

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-2>Q 3

Five identical capacitor plates, each of area

A

, are arranged such that adjacent are at distance

d

apart. The plates are connected to a source of emf

V

as shown in figure. The the charge on plates

1

and

4

are, respectively

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-2>Q 4

For the circuit shown here, the potential difference between points

A

and

B

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-2>Q 5

The plates

S

and

T

of an uncharged parallel plate capacitor are connected across a battery. The battery is then disconnected and the charged plates are now connected in a system as shown in the figure. The system shown in equilibrium. All the strings and spring are insulating and massless. The magnitude of charge on one of the capacitor plates is : [Area of plates

= A

]

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-2>Q 8

In the circuit shown in figure $C_{1} = 2 C_{2}$ . Switch $S$ is closed at time $t = 0$ . Let $i_{1}$ and $i_{2}$ be the currents flowing through $C_{1}$ and $C_{2}$ at any time $t$ , the ratio $i_{1} / i_{2}$ .

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Beta Question Bank for Engineering: Physics>Chapter 23 - Capacitance>Exercise-2>Q 10

A parallel plate capacitor is connected to a cell. Its positive plate

A

and its negative plate

B

have charges

+ Q

and

- Q

respectively. A third plate

C

, identical to

A

and

B

, with charge

+ Q

, is now introduced midway between

A

and

B

, parallel to them. Which of the following are correct :

The capacitance C for an isolated conducting sphere of radius a is given by 4πε0a. This sphere is enclosed within an earthed concentric sphere. The ratio of the radii of the spheres being nn-1 then the capacitance of such a sphere will be increased by a factor-

Important Questions on Capacitance

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The capacitance $(C)$ for an isolated conducting sphere of radius $a$ is given by $4 π ε_{0} a$ . This sphere is enclosed within an earthed concentric sphere. The ratio of the radii of the spheres being $\frac{n}{(n - 1)}$ then the capacitance of such a sphere will be increased by a factor-