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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)`/(4pivarepsilon_0R)`

B

(2Q)/(4pi _0R)- q/(4pi_0R)`

C

` (2Q)`/(4pivarepsilon_0R)`

D

(2Q)/(4pi _0R)- q/(4pi_0R)`

Text Solution

Verified by Experts

The correct Answer is:
C
At .`P`, potential due to shell :
`V-1 = q/(4 pi varepsilon_(0) R)`
At `P`, potential due to `Q` :
` (##NG_PHY_C01_E01_157_S01.png" width="80%">
`V_2=Q/(4 pi varepsilon_0R/2)`
Net potential at`R`
`V = V_1 + V_2`
`= q/(4 pi varepsilon_0 R) + (2 Q)/(4 pi varepsilon_0 R)` .
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