Question

If the potential at each point on a conductor is same to each other, then

• A. Electric lines of force may begin or end on the same conductor
• B. No electric lines of force may begin or end on the same conductor.
• C. The electric field inside the conductor may be non–zero
• D. None of the above

Answer 1

The correct option is B No electric lines of force may begin or end on the same conductor.

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.