Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.
Prove that a closed equipotential surface with no charge within itself must enclose an equipotential volume.
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1 Answer
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This is a short answer type question as classified in NCERT Exemplar
If there is a potential then E? 0 electric field comes into existence, which is given by as E=-dV/dr
It means there will be field lines pointing inwards or outwards from the surface. These lines cannot be again on the surface, as the surface is equipotential. It is possible only when the other end of the field lines are originated from the charges inside. Hence, the entire volume inside must be equipotential.
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