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A charge q is distributed uniformly on t...

A charge q is distributed uniformly on the surface of a sold sphere of radius R. It covered by a concentric hollow conduction sphere of radius `2R`. Find the charges inner and outer surface of hollow sphere if it is earthed.

A

Zero each

B

`q, -q`

C

`-q, 0`

D

`2q, -q`

Text Solution

Verified by Experts

The correct Answer is:
C
The charge on the inner surface should be –q, because if we draw a closed Gaussian surface through the material of the hollow sphere the total charge enclosed by this Gaussian surface should be zero. Let q. be the charge on the outer surface of the since, the outer sphere is earthed, its potential should be zero. The potential on it is due to the charges q,-q and q.. Hence,
`V=(1)/(4piepsi_(0))[(q)/(2R)-(q)/(2R)+(q.)/(2R)]=0`
`impliesq.=0`
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