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

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Discussion Overview

The discussion centers on predicting the movement of a magnet within a magnetic field, specifically addressing the application of Maxwell's equations and Newton's Laws of motion. Participants explore both uniform and variable magnetic fields, including scenarios involving multiple magnets in motion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether Maxwell's equations can be used to predict the movement of a magnet in a uniform magnetic field, and raises the complexity introduced by variable magnetic fields.
  • Another participant suggests that while Maxwell's equations can calculate instantaneous forces on a magnet, Newton's Laws of motion are necessary to predict movements over time.
  • A further inquiry is made about how to calculate instantaneous forces, noting the complexity of interactions between the magnetic fields of the magnets involved.
  • One participant points out that the topic has been discussed previously, suggesting that similar discussions may provide additional insights.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the methods for predicting magnet movement, with multiple viewpoints on the applicability of Maxwell's equations and the challenges of calculating interactions in variable fields remaining unresolved.

Contextual Notes

Participants express uncertainty regarding the calculations of instantaneous forces and the interactions between magnetic fields, indicating potential limitations in their understanding or the complexity of the problem.

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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