Since magnetic field strength only depends on currect, it seems like you could generate a very powerful magnet simply by connecting a 1 volt battery to a low resistance coil. The wire's resistance seems like it would limit the maximum current to some degree, but is that all there is to it? It doesn't seem plausible to me that a magnetic field generated by connecting a 1 volt battery to a superconducting material could exert a high Lorenz Force on anything.