Question

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

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.
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=0 For example, inside the conductor E=0, but V≠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 is non-zero but potential is zero.

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