An uncharged conductor of inner radius `R_(1)` and outer radius `R_(2)` constains a point charge q at the centre as shown in figure

(i) Find `vec(E)` and V at points A, B and C
(ii) If a pint charge Q is kept out side the sphere at a distance `'r' ( gt gt R_(2))` from centre then find out resultant force on charge Q and charge q.

Explanation

At point A : `V_(A)=(Kq)/(OA)+(Kq)/R_(2)+(K(-q))/R_(1), vec(E)_(A)=(Kq)/(OA^(3)) vec(OA)`
At point B: `V_(B)=(Kq)/(OB)+(K(-q))/(OB)+(Kq)/R_(2)=(Kq)/R_(2), E_(B)=0`, At point C : `V_(C)=(Kq)/(OC), vec(E)_(C)=(Kq)/(OC^(3))vec(OC)`
(ii) Force on point charge Q : `vec(F)_(Q)=(KqQ)/r^(2) hat(r)" "` (r=distance of 'Q' from centre 'O')
Force on point charge q: `vec(F)_(q)=0" "` (Charge on `S_(1)` uniform)