Meissner effect and conservation of momentum in magnetic levitation

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SUMMARY

The discussion centers on the Meissner effect, a phenomenon in superconductors where external magnetic fields are expelled from their interior. It explores the implications of this effect on conservation of momentum during magnetic levitation, particularly when a permanent magnet is placed near a superconductor. The conversation clarifies that while the superconductor does not experience a net magnetic force, the momentum change of the magnet is balanced by the electromagnetic field. This understanding emphasizes the role of flux pinning and the surface layer of the superconductor in force exertion.

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  • Understanding of the Meissner effect in superconductors
  • Knowledge of magnetic levitation principles
  • Familiarity with conservation of momentum in physics
  • Basic concepts of electromagnetic fields
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  • Research the principles of flux pinning in superconductors
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Physicists, engineers, and students interested in superconductivity, magnetic levitation technologies, and the fundamental principles of electromagnetism and momentum conservation.

JesseM
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I was recently reading about the Meissner effect, in which certain superconductors are able to "exclude" any external magnetic field lines from their interior, as seen in the right half of this diagram:

meissner.jpg


I understand that some superconductors exhibit a sort of imperfect Meissner effect in which some field lines do pass through localized "flux tubes" in the material of the superconductor, an effect known as flux pinning, but in the case of a superconductor that exhibits a perfect Meissner effect, does this imply that there is never a net magnetic force on the superconductor, so no external magnetic field will cause it to accelerate in any direction?

If the answer to that last question is "yes", then I'm wondering how conservation of momentum is ensured in examples of magnetic levitation involving such a superconductor. As described on this page:

Magnetic fields are actively excluded from superconductors (Meissner effect). If a small magnet is brought near a superconductor, it will be repelled becaused induced supercurrents will produce mirror images of each pole. If a small permanent magnet is placed above a superconductor, it can be levitated by this repulsive force.

This would seem to imply that if you place a permanent magnet next to this type of superconductor in zero gravity, the permanent magnet will accelerate away from it, gaining momentum in that direction. But if there's no net magnetic force on the superconductor, this can't be balanced out by it being accelerated in the opposite direction, can it? If not, I imagine the change in momentum of the permanent magnet must be balanced by a change in linear momentum carried by the electromagnetic field (either in EM waves or in some other form)--is this conclusion correct or is there some error in my understanding?
 
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While the magnetic field is expelled from the interiour of the superconductor, there is a thin layer at the surface of the SC where the magnetic field penetrates and falls off exponentially. It is there where all the forces are excerted.
 
Ah, that makes more sense. Thanks!
 

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