How flux tubes are helpful in to and fro motion of superconductor over magnetic field?
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Flux pinning is the phenomenon where a superconductor is pinned in space above a magnet. The superconductor must be a type-II superconductor because type-I superconductors cannot be penetrated by magnetic fields. ... This pinning is what holds the superconductor in place thereby allowing it to levitate.
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As Flux tubes' cylindrical sides' magnetic sides are parallel to the magnetic fields everywhere, thus they help the superconductors kind of "float" over them.
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