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

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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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Important Questions on Electrostatics

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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

is

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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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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 200

Some charge is being given to a conductor then its potential is:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 201

A solid metallic sphere has a charge

+ 3 Q

. Concentric with this sphere is a conducting spherical shell having charge

- Q

. The radius of the sphere is

a

and that of the spherical shell is

b (b > a)

. What is the electric field at a distance

R (a < R < b)

from the centre?

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 202

Two charged spheres having radii

a

and

b

are joined with a wire then the ratio of electric field

E_{a} / E_{b}

on their surface is -

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 203

A long hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.