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.

• Equation , show that electric potential decreases along the direction of electric field


• Consider any path from the charged conductor to the uncharged conductor along the electric field


• the potential will be continually decreases along this path


• a second path from the uncharged conductor to infinity will again continually lower than potential further hence the result


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