In the figure shown the electric potential energy of the system is : `(q` is at the center of the conducting neutral spherical shell of inner radius a and outer radius `b`)

Options

A. `0`
B. `(k q^(2))/(2b)`
C. `(kq^(2))/(2b) -(kq^(2))/(2a)`
D. `(kq^(2))/(2a) - (kq^(2))/(2b)`

Answer

C

Explanation

`U = (-kqq)/(a) +(kqq)/(b) - (kqq)/(b) + (kq^(2))/(2a) + (kq^(2))/(2b) = (kq^(2))/(2b) - (kq^(2))/(2a)`