Question

Why can’t two equipotential surfaces intersect each other?

Hint:

Equipotential surfaces cannot intersect because at every point on the surface, the potential must be the same, and two different potentials at the same point is not possible.

Answer 1

Step 1: Understanding equipotential surfaces.
An equipotential surface is a surface on which every point has the same electric potential. The electric potential at each point on an equipotential surface is constant.
Step 2: The impossibility of intersection.
If two equipotential surfaces were to intersect, there would be a contradiction. At the point of intersection, the potential would have to be two different values at the same point, which is not possible. Therefore, two equipotential surfaces cannot intersect.
Step 3: Conclusion.
Thus, two equipotential surfaces cannot intersect because it would imply that a point has two different potentials, which is physically impossible.