On the magnetic field in the Meissner effect

Question

As shown in the figure, in the Meisner effect, the magnetic field of the magnet bypasses the superconductor. My question is, does the magnetic B field belonging to the magnet increase at the arrow indicating position?

Or is there no change in the intensity of the magnetic field that belongs to the magnet? Is it just the superposition of the magnetic field of the magnet and the magnetic field of the superconductor?.

Is it also possible to ask, assuming that the energized conductor is placed at the position of the arrow, regardless of the force between the energized conductor and the superconductor, the ampere force between the energized conductor and the magnet is F1. The ampere force between the energized wire and the magnet after removal of the superconductor is F2，can F1 be greater than F2?

Cryo · Answer

There is no magnetic field belonging to the magnet or superconductor. There is just the magnetic field, a magnet and a superconductor.

Basically you are solving

$boldsymbol{nabla}.left(mathbf{H}+mathbf{M}right)=0$

$boldsymbol{nabla}timesmathbf{H}=mathbf{0}$

where magnetic field ($mathbf{H}$) vanishes at the infinity, where magnetization $mathbf{M}neqmathbf{0}$ inside the magnet, and where $left(mathbf{H}+mathbf{M}right)=mathbf{0}$ inside the superconductor. As you can see there is nothing to tie magnetic field to either the supeconductor or the magnet.

I would expect the magnetic field between the superconductor and the magnet to be stronger than it was before the superconductor was brought closer to the magnet (did not do the actual calculations though).

I don't know what you mean by energized conductor. Charged? I do not understand your final question. I would need several diagrams to understand it (with all the forces and conductors annotated before and after any changes you make to the system).

On the magnetic field in the Meissner effect

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