A pointchargeq is at a distancer from the centre O ofanuncharged sphereicalconductinglaryer, whoseinnerand outerradii are equal to a andb respectively . Find thepotential at the pointOif r lt a

A pointchargeq is at a distancer from the centre O ofanuncharged spher

1.	A pointchargeq is at a distancer from the centre O ofanuncharged sphereicalconductinglaryer, whoseinnerand outerradii are equal to a andb respectively . Find thepotential at the pointOif r lt a
Answer» SOLUTION :Equal amountof charge will be INDUCED on the innerand OUTER SURFACEOF the conductor. Theneach negativechargeatO is `V = (1)/(4 pi in_(0)) ((-q))/(a)` Similarly due to positivecharge ,potentialat O` V_(+)= (1)/(4 pi in_(0)) (q)/(b)` Potentialat O dueto charge q `V_(0) = (1)/(4 pi in_(0))(q)/(r)` The TOTAL potential `V = V_(0) + V_(-) + V_(+)` ` = (q)/(4pi in_(0)) [(1)/(r) - (1)/(a) + (1)/(b)]`