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A superconducting wire($SC$) is moved rapidly in a magnetic field( $1$ $Tesla$), what would happen to the wire? Are there any forces induced of attraction or repulsion?

In a typical conductor, we know that if it is moved around a magnetic field $-V$ is induced within the wire based on Faraday's law, however, with the condition of the $SC$ what could happen if $R = 0$ $ohms$?

Will Faraday's law still be applied to that wire with no resistance? moving a $SC$ in a magnetic field will not induced $EMF$?

Pupil
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3 Answers3

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The induced current will flow in such a way that the flux produced will tend to cancel the change in flux. According to traditional classical electrodynamics, the magnetic field does not do any work and it is the electric field and the charge carriers which do the work and ultimately limit Faraday's law in extreme cases.

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I suppose that the moving wire is a closed circuit and that the magnetic flux enclosed is time-dependent. The Faraday’s law is of course always applicable. The current will not be infinite. Yes R=0 but, what about the self inductance L? It is never zero, in such a manner that the total E field will be null. If you make the calculations the electric field in the superconducting wire has two contributions. The first one related to the variation of the external magnetic flux and the second associated to the time-dependent current by means of the self inductance L.

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Kind of complicated thing to answer, best way is to do an experiment and not rely on math completely! and the fact that this is still unknown territory.

I will try my best, watch this ted talk very helpful:

https://www.youtube.com/watch?v=PXHczjOg06w

Superconductivity is a phenomena of absolutely 0 electrical resistance. Given that a material is superconductive, the magnetic field lines go through the material to leave it in a state of "quantum locking". Given that Faraday's law predicts how a magnetic field interacts with a circuit to produce emf this law i assume will not apply due to the fact that the magnetic field is not interacting with the superconducting wire but the magnetic field is directly penetrating through the sc wire. But at the same time leaving it in a state of quantum locking i assume is still interaction?. So 2 answers, may be and may be not.

This is an assumption, i would try to do an experiment before coming to any conclusions.