Which length has to be taken to compute magnetic resistance?

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SUMMARY

The calculation of magnetic resistance (R_m) is defined by the formula R_m = l / (μA), where l represents the length of the magnetic path, μ is the permeability, and A is the cross-sectional area. In the case of a transformer, the resistance for the left and right parts (R_r and R_l) is calculated as R_r = R_l = (2l) / (μA), while the middle part resistance is simply R_m = l / (μA). The length "l" should be measured as the direct distance between two nodes placed at the top and bottom of the magnetic path, clarifying that for the left and right parts, the effective length is doubled.

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Marvin94
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In general I read that:

R_m =\frac{l}{\mu A}

But considering for example the following transformer:

IMG_20150812_120636.jpg


I don't understand why the lengths taken from the sketch by the solution's procedure are the following:

For the right and left part resistance:
R_r = R_l = \frac{(\frac{1}{2} + \frac{1}{2} + 1 ) l}{\mu A} = \frac{2 l}{\mu A}

For the middle part resistance:
R_m = \frac{l}{\mu A}

So my question in general is: how should I measure the "l" in the general formula?
 

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Marvin94 said:
how should I measure the "l" in the general formula?
Place two nodes at the top/bottom of the middle part. Call them A and B.
The length of the path from A to B through the left and right part = 2 * l
Through the middle part the length = l
 
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Very clear. Thanks!
 

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