They cannot intersect each other because two different equipotential surfaces have different electric potential. ... It means the electric field intensity is perpendicular to the surface.

Why do two equipotential surfaces never intersect?

they cannot intersect each other because two different equipotential surface have different electric potential, so if they intersect then the point of intersection will have two different potentials at the same point which is not possible.

Is equipotential perpendicular?

Equipotential surfaces have equal potentials everywhere on them. For stronger fields, equipotential surfaces are closer to each other! These equipotential surfaces are always perpendicular to the electric field direction, at every point.