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The figure given below shows a system of three concentric metal shells $A$ , $B$ and $C$ with radii $a$ , $2 a$ and $3 a$ respectively. Shell $B$ is earthed and the shell $C$ is given a charge $Q$ . Now, if shell $C$ is connected to the shell $A$ then the final charge on the shell $B$ is equal to

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Important Questions on Electrostatic Potential and Capacitance

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 1

A non-conducting sphere has a total charge

Q

, uniformly distributed throughout its volume. The centre of the sphere is at origin and its radius is

R .

Let

U_{1}

be the electrostatic potential energy in the region inside the sphere and

U_{2}

be the electrostatic potential energy in another imaginary spherical shell, having inner radius

R

and outer radius infinity, centred at origin. Select the correct alternative(s).

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 2

A spherical shell is uniformly charged by a charge

q .

A point charge

q_{0}

is at its centre, then
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 3

The field potential inside a charged ball of radius

R

and centre at

O

depends only on distance from its centre as

V (r) = α r^{2} + β

when

α, β

are

+ v e

constant. Now choose correct options

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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 4

A thread, bent in the form of a semi circle of radius

R

, is placed in

y - z

plane, with its centre at the origin. The charge per unit length of the thread is

λ .

Select the correct alternatives.
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 5

Figure shows a set of equipotential surfaces. There are a few points marked on them. An electron is being moved from one point to other. Which of the following statements is/are correct?
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 6

A point charge

q

, is placed at a distance

r

from the centre of an aluminium sphere, of radius

R (r > R) .

Select the correct alternatives.
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 7

Figure shows three concentric conducting spherical shells of radii

a, b

and

c (c > b > a) .

The innermost and outermost shell are given charges

Q_{1}

and

Q_{2}

respectively, and the middle shell has been earthed. Select the correct alternative(s).
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Gamma Question Bank for Engineering Physics>Chapter 16 - Electrostatic Potential and Capacitance>Assignment>Q 8

Initially

C_{1}

has charge

2 C V

and

k_{1} & k_{2}

are open.

The figure given below shows a system of three concentric metal shells A, B and C with radii a, 2a and 3a respectively. Shell B is earthed and the shell C is given a charge Q. Now, if shell C is connected to the shell A then the final charge on the shell B is equal to

Important Questions on Electrostatic Potential and Capacitance

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The figure given below shows a system of three concentric metal shells $A$ , $B$ and $C$ with radii $a$ , $2 a$ and $3 a$ respectively. Shell $B$ is earthed and the shell $C$ is given a charge $Q$ . Now, if shell $C$ is connected to the shell $A$ then the final charge on the shell $B$ is equal to