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 47

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A thin conducting ring of the radius $R$ is given a charge $+ Q .$ The electric field at the centre $O$ of the ring due to the charge on the part $A K B$ of the ring is $E .$ The electric field at the centre due to the charge on the part $A C D B$ of the ring is

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Important Questions on Electrostatics

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 48

A charged ball $B$ hangs from a silk thread $S,$ which makes an angle $θ$ with a large charged conducting sheet $P,$ as shown in the figure. The surface charge density $σ$ of the sheet is proportional to:

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 49

Two point charges

+ 8 q

and

- 2 q

are located at

x = 0

and

x = L

respectively. The location of a point on the

x

-axis is at which the net electric field due to these two point charges is zero is

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 50

A thin spherical shell of radius

R

has charge

Q

spread uniformly over its surface. Which of the following graphs most closely represents the electric field

E (r)

produced by the shell in the range

0 \leq r < \infty,

where

r

is the distance from the centre of the shell?

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Alpha Question Bank for Medical: Physics>Chapter 22 - Electrostatics>Exercise-1>Q 51

The figure shows the electric lines of force emerging from a charged body. If the electric fields at $A$ and $B$ are $E_{A}$ and $E_{B}$ respectively and if the distance between $A$ and $B$ is $r,$ then