Force of Repulsion Between Magnets in a Magnetic Field - Equation & Variables

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SUMMARY

The force of repulsion between two magnets in a magnetic field can be calculated using the equation F = (μ₀/4π) * (m₁ * m₂) / r², where F is the force, μ₀ is the permeability of free space, m₁ and m₂ are the magnetic moments of the magnets, and r is the distance between them. The equation varies based on the distance between the magnets; it is simpler when they are nearly touching and becomes more complex at moderate distances, such as 2 cm apart. Understanding these variables is crucial for accurate calculations.

PREREQUISITES
  • Understanding of magnetic fields and their measurement in tesla.
  • Knowledge of magnetic moments and their significance in magnetism.
  • Familiarity with the concept of distance in physics, particularly in relation to force calculations.
  • Basic grasp of the laws of electromagnetism, specifically the inverse square law.
NEXT STEPS
  • Research the concept of magnetic moments and how they are measured.
  • Learn about the permeability of free space (μ₀) and its role in magnetic calculations.
  • Explore the variations of the force of repulsion equations at different distances between magnets.
  • Investigate practical applications of magnetic force calculations in engineering and physics.
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Students of physics, engineers working with magnetic systems, and hobbyists interested in magnetism and its applications will benefit from this discussion.

letueros
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How can i get the force of repulsion between 2 magnets? Which are located in a given location. and they have a determinated magnetic field in tesla. please give me the equation and the names of the variables. (and the name of the equation)
Thanks
 
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The equation depends on the positon of the magnets.
There are different equations for when they are almost touching and when they are far apart. At moderate distances, it gets more complicated.
 
Yeah i know, they are supposed to be very close but there is not friction between them, like 2 cm of distance.
 

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