A conducting sphere of radius `R` is given a charge `Q`. The electric potential and the electric field at the centre of the sphere respectively are

Options

A. zero and `(Q)/(4pi epsilon_(0)R^(2))`
B. `(Q)/(4pi epsilon_(0)R)` and zero
C. `(Q)/(4pi epsilon_(0)R)` and `(Q)/(4pi epsilon_(0)R^(2))`
D. both the zero

Answer

B

Explanation

For the conducting sphere,
Potential at the centre = Potental on the sphere `= (1)/(4pi epsilon_(0))(Q)/(R )`
Electric field at the centre = 0