Magnetic field of cylindrical magnet

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Discussion Overview

The discussion revolves around calculating the magnetic field of a cylindrical magnet at a specific point in space, considering various configurations and the complexity of existing models. The focus is on seeking a general analytical solution rather than relying on numerical methods like FEM.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks a general analytical model for the magnetic field of a cylindrical magnet, specifying parameters such as radius, height, and remanent flux density.
  • Another participant provides a link to a specific case solution, which is noted as not meeting the request for a general case.
  • A later reply suggests that a simple analytical solution may not exist due to the complexities introduced by differential equations and boundary conditions in magnetic fields.
  • There is a mention that the distinction between conductors and insulators does not significantly affect the magnetic field calculations.

Areas of Agreement / Disagreement

Participants generally agree that finding a simple analytical solution is challenging, and there is no consensus on the existence of such a solution for the general case.

Contextual Notes

The discussion highlights limitations in existing models, particularly regarding assumptions and the complexity of boundary conditions in magnetic field calculations.

sgsawant
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Hi,

I wanted to calculate the magnetic field of a cylindrical magnet at a point P (r,ɵ,z). The magnet can be at the origin or anywhere convenient. Preferably the axis of the magnet is aligned with the z axis.

The magnet is of radius r_m and height h_m. The remanent flux density of the magnet is B_r. I have seen a few papers, but some of them are too complex. The simple solutions too, involve models which have unclear assumptions.

If you know a good analytical model, please point me in the right direction. I know that using FEM (say COMSOL) it is really easy.

Regards,

-sgsawant
 
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http://faculty.uml.edu/cbaird/all_homework_solutions/Jackson_5_19.pdf"
 
Last edited by a moderator:
Thanks! But that's a very specific case - I am necessarily looking for a general case solution.

I appreciate your effort though.
 
It's just that there is no simple solution, analytical and general.

As you may often expect when a field defined by a differential equation has edgy boundaries.

And as you may expect about every time with the magnetic field, because it makes no huge difference between conductors and isolators.
 

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