Explain, mathematically, why there is no work done in moving a charge from one point to another point if those points lie in the same equipotential surface.

University Physics Volume 2
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ISBN:9781938168161
Author:OpenStax
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Chapter7: Electric Potential
Section: Chapter Questions
Problem 47P: If the potential due to a point charge is 5.00102 V at a distance of 15.0 m, what are the sign and...
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 Explain, mathematically, why there is no work done in moving a charge from one point to another point if those points lie in the same equipotential surface.

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