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I have thought that by eddy current. But how eddy current in superconductivity materials can be generated by using permanent magnet?

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youtube.com/watch?v=zPqEEZa2Gis –  captainjamie May 24 '14 at 12:20

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As superconductors have zero resistance a large amount of Eddy current flows in them. These eddy currents will generate a magnetic field opposite to that due to the magnet and the repulsion between these magnetic fields is what causes the magnet to levitate.

It is not that it should be a permanent magnet. Levitation works with those which produce a magnetic field like a current carrying coil.

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