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Question

A solid conducting sphere of radius a is surrounded by a thin uncharged concentric conducting shell of radius 2a. A point charge q is placed at a distance 4a from common centre of conducting sphere and shell. The inner sphere is then grounded.


The potential of outer shell is:

A
q32πϵ0a
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B
q16πϵ0a
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C
q8πϵ0a
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D
q4πϵ0a
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Solution

The correct option is A q32πϵ0a
Let the potential of the outer shell be VB.

Potential at outer shell due to point charge is given by V1=kq4a
Potential at outer shell due to inner sphere is given by V2=kq2aVB=V1+V2

VB=kq4a+(kq8a)

VB=q32πε0a

Hence, option (a) is the correct answer.

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