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Question
The electric field and the electric potential at a point are E and V, respectively.
Options
If E = 0, V must be zero.
If V = 0, E must be zero.
If E ≠ 0, V cannot be zero.
If V ≠0, E cannot be zero.
None of the above.
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Solution
None of the above.
Electric field, \[E = \frac{- dV}{dr}\] where V = electric potential
For E = 0, V should be constant.
So, when E = 0, it is not necessary that V should be 0.
Hence, none of the above signifies the correct relation.
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