Force between a permanent and electromagnet

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Calculating the force between an electromagnet and a permanent magnet involves determining the field strengths of both magnets at their respective locations. The Biot-Savart law can be used to find the field strength of the electromagnet, while the field strength of the permanent magnet can be calculated through other means. To establish the force acting on each magnet due to their interaction, the Lorentz force equation can be applied, utilizing the field strength of one magnet at the location of the other. This approach allows for a comprehensive understanding of the forces involved in their interaction. Accurate calculations require precise knowledge of the field strengths at the relevant points.
jjb23
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Could anyone help me with calculating the force between an electromagnet and a permanent magnet?

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 can't seem to find an equation.

Thanks.
(Project, certainly not homework)
 
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Please do not open multiple threads for the same topic - I deleted the other one.

If you know the field strength of magnet 1 at the place of magnet 2 (and vice versa), you can use the Lorentz force to calculate the forces between the magnets.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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