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Calculating magnetic forces in motors?

Hey allo,

I was wondering how is it possibile to calculate the magnetic forces within a motor?

The forces between the electromagnet and the permanent magnets. What factors do I need to look at? The magnetic field and what else?
I'm building a AC electromagnet thats magnetic fields is changing its poles. The magnets will be faced "NORTH" to the electromagnet so it should attract and repel the magnet. Calculating that interaction is based on many things I'd like to look at where you all could help me at...

Thanks!
Dre,
 
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