Magnetic field of cylindrical magnet

AI Thread Summary
The discussion focuses on calculating the magnetic field of a cylindrical magnet positioned at a point P in cylindrical coordinates. The user seeks a general analytical model for a magnet with specific dimensions and remanent flux density, expressing frustration over the complexity of existing papers and the lack of clear assumptions in simpler models. It is noted that while finite element methods like COMSOL can simplify the process, the user is looking for a more straightforward analytical solution. The conversation highlights the challenges in deriving magnetic field solutions due to the complexities of differential equations and boundary conditions. Overall, the quest for a simple yet general analytical solution remains unresolved.
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"
 
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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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