Magnitude Of Force Between Magnets

AI Thread Summary
The force between magnets is influenced by their shape and can be described using magnetic flux density. The proposed formula for calculating the force is F = (B1+B2) / d^2, where B1 and B2 represent the magnetic flux densities of each magnet and d is the distance between them. The attractive force between a north and south pole is the force needed to prevent them from coming together, while the repulsive force between two north poles is the force needed to keep them apart. The discussion suggests that both forces are equivalent in their mathematical representation. For further information, online resources on permanent magnets are recommended.
northmop
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It is my understanding that the force between magnets relates directly to the shape of each magnet. To annul the shape of the magnet, I am seeking a formula that describes the force between two magnets in terms of magnetic flux density.

My Question.
If two permanent magnets faced each other: (1) what is the magnitude of the attractive force between a north and south pole; and (2) what is the magnitude of the repulsive force between a north and north pole?

My Guess:
Both magnetic forces are equivalent and defined as F = (B1+B2) / d^2.
Attractive Force: F is the force required to keep the magnets from coming together given the magnetic flux densities, B1 and B2, of each magnet at the distance by which they are separated, d.
Repulsive Force: F is the force required to keep the magnets from separating given the magnetic flux densities, B1 and B2, of each magnet at the distance by which they are separated, d.
 
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