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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 B is

A

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

B

`(5Q)/(12piepsilon_(0)R)`

C

`(3Q)/(6piepsilon_(0)R)`

D

`(5Q)/(48piepsilon_(0)R)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(B)=(1)/(4piepsilon_(0))[(q_(A))/(2R)+(q_B)/(2R)+(q_(C))/(4R)]`
`=(1)/(4piepsilon_(0))[(-Q)/(6R)+(Q)/(2R)+(Q)/(12R)]`
`=(1)/(4piepsilon_(0))(Q)/(12R)[-2+6+1]=(5Q)/(48piepsilon_(0)R)`
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