(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

At the surface of a conductor the potential is constant .. I cant get my head around this ..

2. Relevant equations

E=-grad V

3. The attempt at a solution

The only reason I can think about this is Electric field is perpendicular at the surface , hence no work is done when moving a point charge around the surface , hence potential is constant ..

But if V is constant , the surely E=-grad (V)-> E=0 , which is not the case since there are charges on the surface of the conductor, so surely must provide a E field normal to the surface ..

Thanks for any help

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# Electrostatic potential on the surface of a conductor

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