Calculating Magnet Pull Force: What is the Equation?

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Calculating the pull force of magnets involves specific parameters such as shape, thickness, diameter, and the Br value in gauss. The teacher seeks the underlying equation for these calculations to develop a lab experiment for students. The planned experiment includes measuring the force required to separate a magnet from metal and testing the effect of adding layers of plastic. A reference to a formula previously posted in the thread suggests there may be existing resources available. Assistance in locating the equation or relevant materials is requested for educational purposes.
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I am a teacher and am in the process of developing labs dealing with magnets. I have seen calculators on the internet that can calculate the pull force in pounds for a magnet when provided the shape of magnet, thickness, diameter and Br value in gauss. I have failed to find the equation used for such calculations, can you point me in a direction where I may find such equations?

I would like to develop a lab where my students can use a Hooks Law apparatus and measure the force needed to separate a magnet from a plate of metal. And then place layers of plastic between the magnet and metal and measure the force again.

Any help would be great.
 
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