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What im trying to do is to create a mathematical model for the attraction forces between two or more electromagnets placed parallel to each other. (when the exitation currents are static)

And for this i thought the best approach would be to have a model that can provide a 3D model for the magnetic field strengths around one magnet, and then use Lorentz force equations to calculate the force on other magnets.

Please correct me if my approach is wrong.

I'm new to electromagnetism and magnetostatictics. I've so far looked at biot-savart law and amperes law. I can understand Biot-savarts law for an infinite length wire but i'm not sure how to apply that to an electromagnet. Any help or guidance is greatly appreciated.

Thanks in advance