Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.
Consider a charged body (A) ( say with positive charge) and an insulated uncharged conductor (B) is placed near the charged conductor (A) as shown in the figure: As V=rkq where k and q are constants, so Vαr1 or infinity, V→0 Unchanged conductor is between charged conductor and infinity, so potential decreases from body A to infinity. So the potential of uncharged body varies between potential of A and infinity.
Consider a charged body (A) ( say with positive charge) and an insulated uncharged conductor (B) is placed near the charged conductor (A) as shown in the figure: As V=rkq where k and q are constants, so Vαr1 or infinity, V→0 Unchanged conductor is between charged conductor and infinity, so potential decreases from body A to infinity. So the potential of uncharged body varies between potential of A and infinity.