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A thin spherical conducting shell of rad...

A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P a distance `R/2` from the centre of the shell is

A

`(2Q)/(4pi epsilon_0R)`

B

`(2Q)/(4pi epsilon_0R)-(2q)/(4pi epsilon_0R)`

C

`(2Q)/(4pi epsilon_0R)+q/(4pi epsilon_0R)`

D

`((q+Q))/(4pi epsilon_0)2/R`

Text Solution

Verified by Experts

The correct Answer is:
C
Potential at P = Potential due to charge on surface of shell + potential due to charge Q at a distance of `R//2`.
`V_p= (kq)/R+ (kQ)/(R//2)= (kq)/R+ (2kQ)/R=1/(4 pi e_0) (q/E+(2Q)/R)`
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