Force Analysis of a Permanent Magnet and a Superconducting Hollow Cylinder

The interaction between a cylindrical magnet and a superconducting hollow cylinder in the Meissner state was analyzed using a dipole–dipole model. Analytical expression of the levitation force was derived as a function of the magnetic moment, radius of the magnet, radius, and thickness of the superconductor sample. The effect of the magnet’s dimensions on the levitation force was studied. The obtained results show that there is strong dependence of the levitation force on the magnetic dipole orientation at a small magnet–superconductor distance.