Equipotential Surfaces

Question

What is the work done in moving a charge on an equipotential surface?

RankGuru · Accepted Answer

1. **Definition**: An equipotential surface is a region where the electric potential $V$ is identical at every point.
2. **Work Formula**: $W = q(V_B - V_A)$.
3. **Analysis**: Since $V_A = V_B$ for any two points on such a surface, the difference $(V_B - V_A) = 0$.
4. **Result**: Work done is always **zero**.
5. **Geometric Property**: This also implies that the Electric Field vector $\vec{E}$ is always perpendicular to these surfaces, as no component of force acts along the surface.

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Equipotential Surfaces

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