Fun magnetics question with the Meissner Effect

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mike232
39
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I was hoping I could get some help deriving a formula that shows how much current is needed to generate enough of a magnetic field to lift an X Newton mass L meters above a superconductor. ( Probably in centimeters but meters here for the sake of SI easiness )

I was helping one of my professors with a display using the Meissner Effect to float a magnet above a superconductor. The superconductor was made as a Sr. Research project and we soaked it in liquid nitrogen and could float a magnet above it as long as the conductor was cold enough. It was a Yttrium Barium Copper Oxide superconductor.

I just finished an intermediate E&M class with Griffith's book yesterday so I'm hoping my new found knowledge on magnetic fields and magnetic flux is enough to understand this!

Any help or direction on where to start or more would be very much appreciated!
 

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