Kaveri N.

# Physics electricity - electric force, potential, field, PE

True statements about the relationship between the electric field and electric potential include which of the following?
I. If the electric field at a certain point is zero, then the electric potential at the same point is also zero.
II. If the electric potential at a certain point is zero, then the electric field at the same point is also zero.
III. The electric potential is inversely proportional to the strength of the electric field.
(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) None of the above

How do you approach this question? Since electric field  = potential energy *q/r ( since E (electric field) = kQ/r2 and U (potential energy) = kQq/r ), if either is 0 shouldn't the other one be 0 as well? Using the same logic for the 2nd one, I thought that both the 1st and the 2nd would be right. Is this wrong? Thanks :)

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