# Equipotential Lines And Equipotential Surfaces

Physics

## diagram

### Gravitational Equipotential Surface

Gravitational equipotential surface is the locus of points which are at the same potential. Electric field in a space is always perpendicular to the equipotential surfaces and zero along the plane of equipotential surfaces.
Example:
For a point charge,
constant, constant.
Hence for a point charge, equipotential surfaces are concentric spheres centered at the point charge.

## definition

### Equipotential surfaces

Surfaces having same potential are termed as equipotential surfaces
The properties of equipotential surfaces can be summarized as follows:
• The electric field lines are normal to the equipotentials and are directed from higher to lower potentials.
• By symmetry, the equipotential surfaces produced by a point charge form a family of concentric spheres, and for a constant electric field, a family of planes normal to the field lines.
• The tangential component of the electric field along the equipotential surface is zero, otherwise non-vanishing work would be done to move a charge from one point on the surface to the other.
• Work done in moving a particle along an equipotential surface is zero.