Alternate Maxwell-Faraday Equation for Superconductive Flux Pinning?

[tade]

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_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

 

[BigJDubs]

. $$\nabla \times \mathbf{E} = -\frac{\partial} {\partial t}{\mathbf{B}}$$ Sorry, I don't know much electromagnetism.No, it is not correct to say that the modified equation you have given applies to the superconductor after flux pinning. The original Maxwell-Faraday equation still applies:$$\nabla \times \mathbf{E} = -\frac{\partial}{\partial t}\mathbf{B}$$Flux pinning does not alter the electromagnetic properties of the superconductor; it simply holds the magnetic field in place so that it is not affected by external forces or changes in temperature.