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I'm currently working on eddy current brakes designed to stop a vehicle from speeds around 135 m/s. While researching eddy current brakes, I found the equations used to find the force generated tend to break down at higher speeds. The design is linear, stopping on an aluminum rail roughly 10.4 mm thick with a gap distance of 5.08 mm. The equation we have been using is

[tex] F = \frac{v A B^2}{\frac{\rho}{t}} [/tex]

where v=velocity, A=area of magnet, B=magnetic field, rho=resistivity of the rail, and t=thickness of the rail.

Electromagnets are generating the B-field, and the skin effect has already been taken into account in the calculations.

My question is this: At what speeds does the equation tend to break down? Why does it break down, and is there any way we can predict the actual forces experienced at extremely high speeds?

Any help is greatly appreciated. Thanks in advance!

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# Eddy Current brakes operating at high speeds

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