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Using Biot-Savart law I'm able to calculate the field strength of the electromagnet at a respective point, I can also calculate the field strength of the permanent magnet. However, the tricky part seems to be relating the two and establishing the force acting on them when exposed to each others fields at a point.

I've looked online and in books on electromagnetism but cant seem to find an equation.

Thanks.

(Project, certainly not homework)