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Of course, the current isn't infinite in a superconductor...

In short, V=IR is a simple model and doesn't apply to superconductors (as mentioned in other comments above)



A superconductor is not a resistor. It is an ideal inductor. Ohm's law doesn't apply. You have Phi = LI instead of V = IR, where Phi is the magnetic flux generated by a superconducting wire of inductance L.




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