**The flux doesn't change but the current may change through a super conductor**Since the

*net*flux through the surface bounded by the superconducting loop is just the magnetic flux due to the magnet*plus*the magnetic flux due to the current through the superconductor$$\mathrm{\Phi}={\mathrm{\Phi}}_{m}+{\mathrm{\Phi}}_{i}$$imposing the condition

$$\frac{d\mathrm{\Phi /}}{dt}=0$$implies that

Thus, if the magnet is moved, causing then, it

*must*be the case that , i.e., that the current circulating through the superconductor*is changing*.Since the

*net*flux is not changing, there is no*emf*around the loop enclosing the surface. Nonetheless, since the resistance is zero, the current is independent of the*emf*and so one cannot conclude that the current is zero or unchanging.

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