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Two spherical conductors A and B of radi...

Two spherical conductors A and B of radii a and b (`b gt a`) are placed concentrically in air. A is given charged +Q while B is earthed. Then the equivalent capacitance of the system is

A

`4pi epsilon_0(ab)/(b-a)`

B

`4pi epsilon_0 (a+b)`

C

`4pi epsilon_0 b`

D

`4pi epsilon_0 (b^2)/(b-a)`

Text Solution

Verified by Experts

The correct Answer is:
D
When inner sphere is earthed
`C=4piepsilon_0b+4piepsilon_0((ab)/(b-a))`
`=4piepsilon_0(b^2/(b-a))`
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