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An siolated metal sphere of radius 'r' i...

An siolated metal sphere of radius 'r' is given a charge 'q' . The potential energy of the sphere is

A

`(q^(2))/(4pi epsi_(0)r)`

B

`(q)/(4pi epsi_(0)r)`

C

`(q)/(8pi epsi_(0)r)`

D

`(q^(2))/(8pi epsi_(0)r)`

Text Solution

Verified by Experts

The correct Answer is:
D
`P.E.=(1)/(2) CV^(2) [ :. C=4pi epsi_(0)r]`
`V=(q)/(4pi epsi_(0)r)`
`P.E= (1)/(2) xx(4pi epsi_(0)r)xx((q)/(4pi epsi_(0)r))^(2)`
`P.E-(q^(2))/(8 pi epsi_(0)r)`
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