Physics - Electrostatics Question with Solution | TestHub

The work done $W$ in moving a charge $q$ from one point to another is given by $W=q\Delta V$, where $\Delta V$ is the potential difference between the two points.

By definition, an equipotential surface has the same electric potential at all points. Therefore, the potential difference between any two points on the surface is zero ($\Delta V=0$).

Substituting this into the work formula gives $W=q(0)=0$.

Hence, the work done to move a charge over an equipotential surface is zero.

Answer: work done to move a charge is zero.