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Is the surface of a closed object which encloses a point charge always equipotential?

Physics Asked on August 8, 2021

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If I consider A and B to be two points and charge q is placed inside the cavity ( kindly ignore charge Q) . Is the surface always equipotential regardless of the shape of the body ? Is this possible when the charge q is not even at the geometrical centre? Can some please clarify my doubts?

One Answer

Is the surface of a closed object which encloses a point charge always equipotential?

Yes, with a few caveats.

  • The body is a conductor
  • There are no time-varying magnetic fields
  • You are in equilibrium, (which is established in a concuctor in a very, very short time, for example $10^{-16}$ seconds)

Answered by Math Keeps Me Busy on August 8, 2021

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