Help understanding Partial Mutual Inductance

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The discussion centers on the calculation of partial mutual inductance in a single-phase transmission line system. It highlights the importance of understanding how mutual flux linkage is estimated, specifically questioning why it is represented by the flux through the green area rather than the red area in the provided image. The inquiry emphasizes the perceived inadequacy of accounting for the flux outside both wires in determining mutual inductance. The poster seeks clarification on the relationship between the flux linkage and the mutual inductance of the two conductors. This topic is crucial for accurately modeling inductance in electrical systems.
Frank Coutinho
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I'm sure you are all familiar with calculating the inductance of a long transmission line.

We first calculate the partial self inductance and we add to the partial mutual inductance due to the current in the other conductors.

Looking at the image of a single-phase system, where I1 + I2 = 0.

Doubt_1.png


The partial inductance per unit of length of wire 1 is given by this equation:

Doubt_2.png


Here is my question:

Why do we estimate the MUTUAL flux linkage as the flux going through the GREEN area in the image and not the RED area?

I don't see how the flux outside both wires accounts for the mutual inductance of these two wires.
 
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