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why current if flowing if there is no potential difference. if no potential difference then no work is being done on charge so there should be no net displacement of charge but we know that the current flows. current also flows from higher potential to lower potential but across two ends potential is same(potential difference zero) so no current should flow.

Qmechanic
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1 Answers1

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The potential difference $V$ between two points is the work required per unit charge to move the charge between two points. If current is flowing between two points with no potential difference it means there is no resistance between the points requiring work to overcome. This is the assumption we make when we treat wires in an electrical circuit as having zero resistance. Current flows in the wires between circuit components without a potential difference between points in the wire.

In reality all conductors, except super cooled conductors, have resistance. We just assume the resistance of wires is so low compared to the resistance of the components they connect that we can ignore it.

A mechanical analog is an object (analogous to electric charge) sliding at constant velocity (analogous to constant velocity) on a frictionless surface (analogous to a conductor with zero resistance). Since there is no friction to overcome, no work is required to move the object over the surface and the object can go on forever at constant speed without any work. In reality, of course, there is no such thing as a truly frictionless surface and the object will eventually come to a stop unless an external force is applied to equal the friction force and keep the object going.

Hope this helps.

Bob D
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