If electric potential at a point is zero, the electric field at that point is not zero. Isn't this only true in case of a dipole? If only a point is considered, then at infinity both electric potential and electric field are zero. Isn't it?

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Find out the relationship between the electric field and electric potential include which of the following statement?

I. If the electric field at a certain point is zero, then the electric potential at the same point is also zero.

II. The electric potential is inversely proportional to the strength of the electric field.

III. If the electric potential at a certain point is zero, then the electric field at the same point is also zero.

7. If the electric field at any point is zero, will it mean
that the potential will also be zero at that point?
Explain.

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