A point charge `q` is placed inside a conducting spherical shell of inner radius `2 R` and outer radius `3 R` at a distance of `R` from the center of the shell. Find the electric potential at the center of the shell.

Options

A. `(1)/(4 pi epsilon_0) q/(2 R)`
B. `(1)/(4 pi epsilon_0) (4 q)/(3 R)`
C. `(1)/(4 pi epsilon_0) (5 q)/(6 R)`
D. `(1)/(4 pi epsilon_0) (2 q)/(3 R)`

Answer

c

Explanation

`V = k q/(R) -(k q)/(2 R) + (kq)/(3 R) = (k q)/(R) [1 - (1)/(2) + (1)/(3)]`
=`(k 5q)/(6 R)`
(##BMS_V03_C03_E01_104_S01##).