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A solid spherical conducting shell has i...

A solid spherical conducting shell has inner radius a and outer radius 2a. At the center of the shell is located a point charge `+Q`. What must the excess charge of the shell be in order for the charge density on the inner and outer surface of the shell to be exactly equal?

A

`-5Q`

B

`+3Q`

C

`-4Q`

D

`+4Q`

Text Solution

Verified by Experts

The correct Answer is:
A

Inner charge density `=(-Q)/(4pi a^(2))`
Outer charge density`=((q+Q))/(4pi(2a)^(2))`
`(-Q)/(4pi a^(2))=((q+Q))/(4pi(2a)^(2)) rArr q=-50`
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