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Question

# Let V and E be the potential and the field respectively at a point. Which of the following assertions are correct?If E ≠ 0, V cannot be zero.none of these.If V = 0, E must be zero.If V ≠ 0, E cannot be zero.

A
If V = 0, E must be zero.
B
If E 0, V cannot be zero.
C
none of these.
D
If V 0, E cannot be zero.
Solution
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#### The electric field is E=−dVdxif V=0, we can not say E must be zero, we say only E may be zero.if V≠0, E must be zero when V is max i.e, dVdx=0if E≠0 , V may be zero when two equal and opposite charges separated by a distance and at the midpoint in between the charges field non-zero but potential is zero.

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