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Consider three concentric metallic spher...

Consider three concentric metallic spheres A, B and C of radii a, b, c respectively where `a lt b lt c`, A and B are connected whereas C is grounded. The potential of the middle sphere B is raised to V then the charge on the sphere C is–

A

`-4 pi epsilon_0 V (bc)/(c-b)`

B

`+4 pi epsilon_0 V (bc)/(c-b)`

C

`-4 pi epsilon_0 V (ac)/(c-a)`

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
A
`V=(Kq)/b+(KQ)/(c)implies (K(q+Q))/c =0implies q+Q=0implies q=-Q`
`K/b(-Q)+(KQ)/c=VimpliesKQ(1/c-1/b)=V`
`implies Q = (bcV)/((b-c))4pi epsilon_0`
`=(-bcV)/((c-b))4piepsilon_0`
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