A charge Q is distributed over three concentric spherical shells of radii a , b , c a < b < c such that their surface charge densities are equal to one another. The total potential at a point at distance r from their common centre, where r < a , would be:

Q a + b + c 4 π ϵ 0 a 2 + b 2 + c 2

Q a 2 + b 2 + c 2 4 π ϵ 0 a 3 + b 3 + c 3

Q 12 π ϵ 0 a b + b c + c a a b c

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The net charge given to an isolated conducting solid sphere:

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 192

The net charge is given to a solid insulating sphere:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 193

A charge

Q

is kept at the centre of a conducting sphere of inner radius

R_{1}

and outer radius

R_{2}

. A point charge

q

is kept at a distance

r (> R_{2})

from the centre. If

q

experiences an electrostatic force of

10 N

, then assuming that no other charges are present, the electrostatic force experienced by

Q

will be:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 194

What is the new potential difference between the same two surface, when a solid conducting sphere having charge

Q

is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be

V .

If the shell is now given a charge of

- 3 Q .

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 195

A point charge

' q'

is placed at a point inside a hollow conducting sphere. Which of the following electric force pattern is correct?

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 196

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. Then the net charge on the sphere is :

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 197

Three concentric metallic spherical shells of radii

R, 2 R, 3 R,

are given charges

Q 1, Q 2, Q 3,

respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells,

Q 1 : Q 2 : Q 3

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 198

A positive point charge

q

is brought near a neutral metal sphere.

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 199

Two small conductors $A$ and $B$ are given charges $q_{1}$ and $q_{2}$ respectively. Now they are placed inside a hollow metallic conductor ( $C$ ) carrying a charge $Q .$ If all the three conductors $A, B$ and $C$ are connected by conducting wires as shown, the charges on $A, B$ and $C$ will be respectively:

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The net charge given to an isolated conducting solid sphere:

Important Questions on Electrostatics

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