How can I accurately calculate mutual inductance between a coil and a magnet?

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SUMMARY

The discussion focuses on calculating mutual inductance between a coil with 100 turns and a magnet. The user, Edgar, initially employed Neumann's formula, which is suitable for idealized loops but inadequate for real-world applications due to finite wire diameters. The consensus is that for complex geometries, utilizing simulation software like COMSOL is essential for accurate calculations of mutual inductance.

PREREQUISITES
  • Understanding of Neumann's formula for mutual inductance
  • Familiarity with coil design and wire diameter implications
  • Basic knowledge of electromagnetic theory
  • Experience with simulation software, specifically COMSOL
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  • Learn how to model coils and magnets in COMSOL Multiphysics
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  • Investigate the effects of wire diameter on inductance calculations
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Electrical engineers, physicists, and anyone involved in electromagnetic design or analysis, particularly those working with coils and inductive components.

HiEdgar
Hi, All:

I am trying to calculate the mutual inductance between the coil (100 turns) and the magnet. Does anybody know any approaches that may lead a satisfactory answer.

So far, I have been using Neumann's formula which is the formula for mutual inductance, M, between two loops. I treated my magnet as another coil and used Neumann's formula to determine M then. The problem with that is that the diameter of the wires of my coil are finite whereas neumann's formula treats them as infinitisemally small. Because of this, my M became a funciton of magnet's wire diameter, which is not right. Any input is appreciated.

Thank you,

Edgar
 
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That is a notoriously difficult problem. For other than the simplest geomery, you will need a software tool such as COMSOL.
 

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