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Can a field line start from a charged co...

Can a field line start from a charged conductor and end on it? Answer with reason.

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If a line o force starts from a charged conductor and terminates on it, one part of the conductor should be positively charged and other part negatively charged. But the external surface of a charged conductor is always on equipotential surface. So it is not possible for a conductor being charged positively in on part and negetively in another part. Thus a field line cannot start from a conductor and end on the same.
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