Question

Consider a uniform electric field in the $$\hat{z}$$ direction. The potential is a constant

Answer 1

Correct option is D. on the $$x$$ -y plane for a given z.

As we know that equipotential surfaces are perpendicular to the direction electric field
lines. Here electric field is in $$+\hat{z}$$ direction.

So, equipotential surfaces will be the plane perpendicular to $$z$$ axis, i.e.,
along $$x$$ -y, plane, which includes any $$x$$ or $$y$$ axes. So answers $$(b),(c)$$ and $$(d)$$ are verified respectively.