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Three concentric spherical conductors A,...

Three concentric spherical conductors A, B and C of radii R, 2R and 4R respectively. A and C is shorted and B is uniformly charged
Potential at A is

A

`(-Q)/(4piepsilon_(0)R)`

B

`(-Q)/(12piepsilon_(0)R)`

C

`(Q)/(16piepsilon_(0)R)`

D

`(Q)/(16piepsilon_(0)R)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(4piepsilon_(0))((q_(A))/(R)+q_(B)/(2R)+q_(C)/(4R))`
`=(1)/(4piepsilon_(0))((-Q)/(3R)+(Q)/(2R)+(Q)/(12R))`
`=(1)/(4piepsilon_(0))(1)/(12R)[-4Q+6Q+Q)`
`=(1)/(4piepsilon_(0))(1)/(12R)3Q=(Q)/(16piepsilon_(0)R)`
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