@pharmafemboy Two things:
Ohm's law I stated a U=RI. As R is zero the voltage across a superconductor is also always zero. Hence the current inside a superconductor is independent of voltage.

Secondly: critical current. At this current the superconducting property ceases. Meaning you can induce a current in a superconductor whose magnetic field will then exactly oppose the applied field unless you reach the critical current.