An unchanged conductor of inner radius `R_(1)` and outer radius `R_(2)` contains a point charge q placed at point P (not at the centre) as shown in figure? Find out the following:

(i) `V_(C)` (ii) `V_(A)` (iii) `V_(B)` (iv) `E_(A)` (v) `E_(B)`
(vi) force on charge Q if it is placed at B

Explanation

(i) `V_(C)=(Kq)/(CP)+(K(-q))/R_(1)+(Kq)/R_(2)`
Note : -q on `S_(1)` is non-uniformly distributed. Still it producess potential `(K(-q))/R_(1)` at 'C' because 'C' is at distance `'R_(1)'` from each point of `'S_(1)'`.
(ii) `V_(A)=(Kq)/R_(1)" "`(iii) `V_(B)=(Kq)/(CB)`
(iv) `E_(A)=O` (point is inside metallic conductor)
(v) `E_(B)=(Kq)/(CB^(2)) CB" "`(vi) `F^(0)=(KQq)/(CB^(2)) overset(^^)(CB)`