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))`
-q on `S_(1)` in nonuniformly distributed still it produces potential `(K(-q))/(R_(1))` at 'C' because 'C' is at distance `'R_(1)'` from each points of `'S'_(1)`.
(ii) `V_(A)=(Kq)/(R_(2))`
(iii) `V_(B)=(Kq)/(CB)`
(iv) `E_(A)=O` (point is inside metallic conductor)
(v) `E_(B)=(Kq)/(CB^(2))C hatB`
(vi) `F_(Q)=(KQq)/(CB^(2))C hatB`