Question

By performing a set of experiments, a scientist found that the electric field between two points A and B is zero. What can he conclude regarding the potential of the two points?

(a) VA=0, VB=0

(b) VA>VB

(c) VA+VB

(d) VA=VB

I have been asked this question in an online interview.

Origin of the question is Electrostatic Potential topic in division Electrostatic Potential and Capacitance of Physics – Class 12

Answer 1

The correct answer is (d) VA=VB

Easy explanation: We know thatVAB=VA-VB=-\(\int_A^B\)E.dx. But E=0, so the value of the integral becomes zero. Therefore VA=VB is obtained. The electric field is always directed from a point of higher potential to a point of lower potential. But if the potential of two points is the same, i.e. no potential difference, then there will be no electric field.