Electromagnetic theory

In another thread someone thought there would be no eddy currents on a passive magnetic bearing that uses non-bonded NdFeB magnets. That’s not the case, as there will be eddy currents. One can do a run down test on a passive magnetic bearing setup to see that the deceleration rate will be relative to the square of the rpm, rpm^2, which is a clear indicator that the drag is eddy currents and not air drag. Of course, the rpm must be low enough to where the air drag is not a noticeable factor. Air drag is the cube of rpm, rpm^3.

To understand how the EMF is calculated one needs to understand Faraday’s law of induction along with simple physics such as Einsteins law of relativity. Everything is relative. To solve such problems one breaks the problem down into fine elements where the material is segmented into fine elements. The fields summations at any particular spot in free space is not how such problems are solved.

An example that proves this is to consider a long rectangular magnet, and an object that is moving parallel to the magnet. At the very center of the rectangular magnet the B-field is not changing. That is, the B-field one millimeter to the left is the same as one millimeter to the right. The B-field one micrometer to the left is the same as one micrometer to the right, etc. If we have an infinitely long rectangular magnet, then the B-field remains constant along the parallel path next to the magnet, yet the EMF is still there.

Another example is the EMF within a coil wound toroid. If we measure the magnetic field within the toroid, we discover that there is none– the toroid and coil must be appreciably symmetric. Yet, when we enter the problem into finite element magnetic equations by calculating the EMF from each individual dipole within the magnetic core, we discover that there is indeed an EMF.

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