Electric Charges and Fields — Physics STD 12 Science — Question

2. No electric lines of force may begin or end on the same conductor.

Explanation:
Electric field lines explain the orientation of the electric field in the region and it points tangential to the point at which it is drawn. Thus at any point, the tangent to the electric field line matches the direction of the electric field.
The density of the field lines at a point determines the strength of the electric field at that point.
Therefore, if the potential at each point of the conductor is the same, then it means that there are no electric lines that may begin or end on the conductor.