Hi. Superconductors can be made hover above or even below magnets. As far as I know, this can be interpreted as an extreme form of Lenz's law: Eddy currents on the surface of the superconductor create an opposing force that is able to cancel gravity since the currents aren't affected by resistance. By that logic, shouldn't a superconducting coil have infinite self inductance and thereby be not conducting at all? Shouldn't turning on a current create a current of the same magnitude but opposite direction in neighboring loops so they exactly cancel?