Why potential difference across no resistance wire is same across two points.

  • $\begingroup$ Suppose it weren't the same. How much current would flow in the wire? $\endgroup$ – The Photon May 28 '20 at 5:07
  • $\begingroup$ The current would depend upon the battery and that's what I am asking if v=constant why current flows. $\endgroup$ – Rans Some May 28 '20 at 5:14
  • $\begingroup$ OK, suppose you connected a "zero resistance" wire across a battery with nonzero internal resistance. What ends up being the voltage across the wire? Suppose the battery has 1 ohm resistance and the wire has 0.01 ohms. Or 0.001 ohms. What's the limit as the wire resistance goes to zero? $\endgroup$ – The Photon May 28 '20 at 5:44
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    $\begingroup$ Does this answer your question? Potential difference across a zero resistance wire $\endgroup$ – The Photon May 28 '20 at 5:45
  • $\begingroup$ Also: How electric currents can flow between 2 points at the same potential? $\endgroup$ – The Photon May 28 '20 at 5:47

Potential difference between point A and point B : Work done by the electric field in moving the charge from A to B.

If two points are separated by a resistance-less conductor, Then the electric field inside the conductor is zero.Thus,The charges experience zero electric force, and thus No work is done in moving the charges, and hence there is no potential difference.

  • $\begingroup$ Then by your answer we should get shock even if conducting wire is not connected to a battery. As current is flowing without any potential difference. $\endgroup$ – Rans Some May 28 '20 at 18:56

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