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PotentialofaChargedConductor

# PotentialofaChargedConductor - Potential of a Charged...

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Potential of a Charged Conductor We 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. + + + + + + + + + + + + + + + + + + + A B E dl C 0 (since E d between A and B) 0 (since E=0 everywhere inside a conductor) B BA A A CA C V V E d V V E d 1. 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 Conductor We 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. A B + +
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