Solving Simple Magnet Circuit Problem - LtSnikch

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The discussion revolves around a problem involving the calculation of the attraction force between a permanent magnet and a conducting metal in an L-shaped configuration. The user, LtSnikch, seeks assistance in deriving a formula based on the gap size between the magnet and the metal. Responses indicate that this problem is complex, with established solutions only available for simpler geometries like parallel plates. For arbitrary shapes, no straightforward formula exists, and it is recommended to utilize simulation software like Maxwell 3D for accurate results. The conversation highlights the challenges of magnet circuit problems in electrical engineering.
LtSnikch
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Hello everyone,

as you may notice I am new to this forum. Unfortunately I've been stuck on a small problem for a few days and I can't seem to find the solution.

It appears to be a simple problem so I am hoping that someone here, with a bit more electrical engineering background as myself might be able to help out.

I have a permanent magnet in an L-shape (take B = 0.5 Tesla in order to avoid saturation), with the n-pole on the one end and the s-pole on the other. The idea now is to make this into a square circuit by moving a conducting metal into the gap.

My question here is: How can I derive the attraction force which is acted on the metal by the magnet from the gapsize between them.

The dimensions are still unknown but I just need help with the formula's. Been looking at Coulomb's and Maxwell's for too long without seeing the solution. Any help would be thankfull.

Greetings,
LtSnikch
 
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That is a notoriously difficult problem. Solutions exist only for the simplest cases such as parallel plates. For an arbitrary shape, you'll never find a formula. You'll have to use a software package like Maxwell 3D instead.
 
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