Calculating Reluctance of a Magnetic Circuit

How do you calculate reluctance of a magnetic circuit in 2D XY?

Magnetic reluctance is analogous to electric resistance. While resistance is the ratio of electromotive force and current, reluctance is the ratio of magnetomotive force and magnetic flux.

To calculate magnetomotive force of the magnetic circuit, you must draw a line in the middle of the magnetic flux path and integrate H along it, i.e., int(H dot dl). This can be done in the Fields Calculator in the following way:

Quantity > H
Geometry > Line > your_line
Vector > Tangent
Scalar > Integrate
Add > H_dl > OK

To calculate magnetic flux through the flux path, you must draw a line across the path and integrate the normal component of B over the line, i.e., int(B dot n DA), and multiply the result by the model depth.

In the Fields Calculator, complete the following:

Quantity > B
Geometry > Line > your_line2
Vector > Normal
Scalar > Integrate
Number > model_depth
Add > B_ndA > OK

To obtain the reluctance, divide magnetomotive force by the magnetic flux:

H_dl > Copy to Stack
B_ndA > Copy to Stack
General > /

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