Question

The electric field and the electric potential at a point are E and V respectively. Then, the incorrect statements are :

This question has multiple correct options
A

If E 0, V must be zero.

B

If V 0, E must be zero.

C

If E 0, V cannot be zero.

D

If V 0, E cannot be zero.

Medium
Solution
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Correct options are A) , B) , C) and D)

The electric field is
If , we can not say must be zero, we say only may be zero.
If , must be zero when is max i.e,  For example, inside the conductor but
If ,  may be zero when two equal and opposite charges separated by a distance and  at the midpoint in between the charges field is non-zero but potential is zero.

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