For the situation shown in the figure below, mark out the correct statement(s) :

Options

A. Potential of the conductor is `q/(4piepsilon_(0)(d+R))`
B. Potential of the conductor is `q/(4piepsilon_(0)d)`
C. Potential of the conductor can’t be determined as nature of distribution of induced charges is not known
D. Potential at point B due to induced charges is `(-qR)/(4piepsilon_(0)(d+R)d)`

Answer

A, D

Explanation

`V_(centre)= (Kq)/(d+R)=1/(4 pi e_0) q/((d+R))`
Since electric field inside conductor is zero.
`dV=overlineE. Overline dr`
Since E is zero inside conductor
So electric potential at each and every point inside and on the conductor is same.
`implies` Potential of conductor =`q/(4pie_0(d+R))`, Due to induced charge `+V_q`
`V_(induced charge)= q/(4 pi e_0 (d+R)) -q/(4 pi e_0d) =q/(4 pi e_0) [-R/(4d(d+R))] =(-qR)/(4 pi e_0 (d+R))`