Magnitude Of Force Between Magnets

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SUMMARY

The force between two permanent magnets is directly influenced by their shape and magnetic flux density. The formula for calculating the force is defined as F = (B1 + B2) / d², where B1 and B2 represent the magnetic flux densities of each magnet and d is the distance between them. The attractive force occurs between a north and south pole, while the repulsive force occurs between two north poles. Both forces can be quantified using this formula, highlighting the importance of understanding magnetic flux density in magnet design.

PREREQUISITES
  • Understanding of magnetic flux density
  • Familiarity with the principles of magnetism
  • Basic knowledge of physics formulas
  • Experience with permanent magnets and their properties
NEXT STEPS
  • Research the effects of magnet shape on magnetic force
  • Explore advanced calculations for magnetic force using finite element analysis
  • Learn about the applications of magnetic flux density in engineering
  • Investigate the differences between attractive and repulsive forces in magnetism
USEFUL FOR

Physicists, engineers, and students studying magnetism, as well as anyone involved in the design and application of permanent magnets.

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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