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If electric field vec(E) is zero at a pa...

If electric field `vec(E)` is zero at a particular point then potential `V` at that point.....

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Nothing can be said about electric potential at the point. It is not necessary that the electric potential be zero at the point where electric field is zero. It may be zero or non-zero.
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MODERN PUBLICATION-ELECTROSTATIC POTENTIAL AND CAPACITANCE -Conceptual Questions
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  15. Where is energy stored in a capacitor?

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  16. The force between the plates of a parrallel plate air capacitor , if c...

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