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## Main Question or Discussion Point

In order to flux-pin a piece of type-II superconductor in a magnetic field, the piece of superconductor is held in place within a magnetic field and supercooled.

Let's say that B

After pinning has been carried out, is it correct to say that an alternate Maxwell-Faraday Equation applies to the superconductor, the modified equation being: $$\nabla \times \mathbf{E} = -\frac{\partial} {\partial t}(\mathbf{B-B_p})$$

I'm also guessing that this formula only applies to small disturbances or displacements, as, if the displacement is large enough, it can permanently alter the pinning.

Let's say that B

_{p}is the B-field within the superconductor as it is being pinned.After pinning has been carried out, is it correct to say that an alternate Maxwell-Faraday Equation applies to the superconductor, the modified equation being: $$\nabla \times \mathbf{E} = -\frac{\partial} {\partial t}(\mathbf{B-B_p})$$

I'm also guessing that this formula only applies to small disturbances or displacements, as, if the displacement is large enough, it can permanently alter the pinning.

**EDIT: Ugh, I realized that it might reduce to the same original Maxwell-Faraday Equation**