Question

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. `((q + Q))/(4pi epsilon_(0))(2)/(R )`
B. `(2Q)/(4pi epsilon_(0)R)`
C. `(2Q)/(4pi epsilon_(0)R) - (2q)/(4pi epsilon R)`
D. `(2Q)/(4pi epsilon_(0)R) + (q)/(4pi epsilon R)`

Answer 1

Correct Answer - D
Electric potential at `P`
`v = (k.Q)/(R//2) + (k.q)/(R )`
`= (2Q)/(4pi epsilon_(0)R) + (q)/(4pi epsilon_(0)R)`