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A small conducting sphere of radius r is...

A small conducting sphere of radius `r` is lying concentrically inside a bigger hollow conducting sphere of radius `R`. The bigger and smaller spheres are charged with `Q` and `q(Q gt q)` and are insulated from each other. The potential difference between the spheres will be

A

`1/(4pi epsilon_0)(q/r-Q/R)`

B

`1/(4pi epsilon_0)(Q/R + q/r)`

C

`1/(4pi epsilon_0)(q/r + q/R)`

D

`1/(4pi epsilon_0)(q/R - Q/r)`

Text Solution

Verified by Experts

The correct Answer is:
C
Potential at A
`V_A=(KQ)/R +(Kq)/R`
Potential at B
`V_B = (KQ)/R +(Kq)/r`
`V_B -V_A =K [q/r -q/R]`
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