Concept:An equipotential surface is defined as a surface where the electric potential is the same at every point.
Explanation:Statement A says an equipotential surface has the same potential throughout.
This is true because, by definition, the potential is constant at all points on such a surface.
For a point charge, potential is given by
V=4πϵ0​rQ​.
Points at the same distance
r from the charge lie on the same equipotential surface and have equal potential.
Statement B says an equipotential surface has the same electric field throughout.
This is false because the electric field is a vector quantity.
The electric field is always perpendicular to the equipotential surface, but its direction and magnitude can differ at different points on the surface.
For example, around a point charge, the field direction changes continuously along the surface.
Therefore, the electric field is not the same everywhere on an equipotential surface.
Answer:Statement A is correct and Statement B is false.
So, the correct option is Option B.