Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermedicate in potential between that of the charged body and that of infinity.

Explanation

When an insulated uncharged conductor is placed near a charged conductor, the uncharged conductor acquires some induced charge. Along any path from the charged conductor to uncharged conductor along the electric field, potential will continually decrease. Another path from uncharged conductor to infinity will lower the potential further. Hence the required result.