How to predict the movement of a magnet in a magnetic field?

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SUMMARY

The movement of a magnet in a magnetic field can be predicted using Maxwell's equations in conjunction with Newton's Laws of motion. Specifically, Maxwell's equations allow for the calculation of instantaneous forces acting on the magnet, while Newton's Laws provide a framework for predicting motion over time. The interaction between the magnet's own generated magnetic field and external magnetic fields complicates the calculations, necessitating a thorough understanding of both electromagnetism and classical mechanics.

PREREQUISITES
  • Maxwell's Equations
  • Newton's Laws of Motion
  • Electromagnetic Field Theory
  • Classical Mechanics
NEXT STEPS
  • Study the application of Maxwell's equations in electromagnetism
  • Explore the mathematical formulation of Newton's Laws of motion
  • Investigate the interaction of magnetic fields using the Biot-Savart Law
  • Learn about the Lorentz force law and its implications for moving charges
USEFUL FOR

Physicists, engineering students, and anyone interested in the dynamics of magnets and electromagnetic fields will benefit from this discussion.

Cathr
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Can we predict the movement of a magnet in a uniform magnetic field using Maxwell's equations?

What if the magnetic field is variable, for example if we have two magnets moving in a reference frame?

Thank you for any answers and I wish you a Merry Christmas! :)
 
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You can use Maxwell's equations to calculate the instantaneous forces on a magnet. But then you need to add Newton's Laws of motion to predict the movements as a function of time resulting from those forces.

Does that answer your question?
 
anorlunda said:
You can use Maxwell's equations to calculate the instantaneous forces on a magnet. But then you need to add Newton's Laws of motion to predict the movements as a function of time resulting from those forces.

Does that answer your question?

How can I calculate the instantaneous forces? The magnet also generates a magnetic field around it, which interacts with the exterior magnetic field or with the field of the other magnet, it seems difficult to me to calculate this interaction. What formula should I use?
 
Look at the list of "similar discussions" at the bottom of this page. Your topics has been discussed several times before.
 

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