Quote:
There is only one problem: when an electric field drives a current, the material CANNOT be a superconductor. To be a superconductor a current must flow without any electric field responsible for the flow, or else, according to Ohm's law, the potential between two contacts cannot be zero; and therefore the resistance cannot be zero.
And what happens after the driving field caused by changing the magnetic field from zero to B has vanished?

Ohm's law is not a fundamental law. As Uncle Al posted here, superconductors only have zero resistance to DC currents. When you switch on fileds then you cause a response that cannot be calculated directly using some ''Ohm's Law''. You need to start from the fundamental theory that describes the electrons in the metal.