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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
Charge on conductor A is

A

`q_(A)=q_(C)=-Q//3`

B

`q_(A)=(Q)/(3),q_(C)=(2Q)/(3)`

C

`q_(A)=(Q)/(3),q_(C)=(Q)/(3)`

D

`q_(A)=-(Q)/(3),q_(C)=(Q)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(A)=V_(C)`
`(1)/(4piepsilon_(0))[(q_A)/(R)+(q_(B))/(2R)+q_(C)/(4R)]=(1)/(4piepsilon_(0))[(q_(A)+q_(B)+q_(C))/(4R)]`
`4q_(A)+2q_(B)+q_(C)=q_(A)+q_(B)+q_(C)`
`q_(A)=-(Q)/(3) q_(C)=(Q)/(3)`
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Knowledge Check

  • 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 (charge +Q). Charge on conductor A is

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