Potential of a Charged ConductorWe will now prove that the surface of a charged conductor in electrostatic equilibrium is an equipotential surface - the surface is at the same electric potential. Consider a charged conductor in electrostatic equilibrium. +++++++++++++++++++ABEdlC0 (since Ed between A and B)0 (since E=0 everywhere inside a conductor)BBAAACACVVE dVVE d1. The surface of a charged conductor in equilibrium is an equipotential surface. 2. Since Since the E = 0 inside the conductor, then the potential must be constant everywhere inside the conductor and equal to the value at the surface A Cavity Within a ConductorWe will now prove that if you have a cavity inside a conductor with no charge inside, the electric field must be zero everywhere inside the cavity. AB++
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