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

Options

A. `(2Q)/(4pi in_(0) R)`
B. `((2Q)/(4pi in_(0) R)) - ((2q)/(4pi in_(0) R))`
C. `(2Q)/(4pi in_(0) R) + (q)/(4pi in_(0) R)`
D. `((q +Q)^(2))/(4pi in_(0) R)`

Answer

C

Explanation

Potentaildue to charge on the shell, `V = (kq)/(R )` and potentail due to charge at the centre
`V_(2) = (K Q)/(R//2) = (K2Q)/(R )`
Net potentail, `V = V_(1) + V_(2)`
`= (Kq)/( R) +(K2Q)/( R) = (q)/(4pi in_(0) R) + (2Q)/(4pi in_(0) R)`