Question

Describe schematically the equipotential surface s corresponding to
A field that uniformly increases in magnitude bur remains in a constant (say $$z$$) direction,

Answer 1

The surface where the potential has a constant value are called the equipotential surfaces. The potential in a direction perpendicular to the direction of the field remains constant irrespective of the magnitude of the field. Hence, equipotential surface would correspond to planes parallel to $$x -y$$ plane. The separation between the planes decreases for same potential differences. That's why $$x-y$$ planes getting closer and closer along the $$z-direction.