Equipotential

A surface (or line) is considered equipotential if all the points on it share the same Electrical Potential.

In equipotential regions:

• $V$ is the same everywhere, so $\Delta V=0$

$$\Delta V=0\to \frac{\Delta U}{q}=0$$

• I.e. no potential energy needed to move between equipotential surfaces
• Furthermore $\vec{E}\perp$ everywhere on region.

On Point Charges §