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Two connectric spheres of radii R and r ...

Two connectric spheres of radii `R` and `r` have similar charges with equal surface charge densities `(sigam)`. The electric potential at their common centre is

A

`sigma // epsi_(0)`

B

`(sigma)/(epsi_(0))(R - r)`

C

`(sigma)/(epsi_(0))(R+r)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Since both spheres have same `sigma` but are of different radii, So they have different value of charges.
`therefore V=k/(4 pi e_0) [Q/E+q/r]=1/e_0[(QR)/(4 pi R^2)+(qr)/(4 pi r^2)], V=1/e_0 [sigma R+ sigma r]=sigma/e_0[R+r]`
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