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I would like to estimate the inductance of a rather arbitrarily shaped coil composed of multiple single loops. For example, I am wondering about the inductance of sandglass like coil which has many turns at the edge and less in the middle.

The inductance of a single loop seems to be well-known. How can I find out the inductance of a coil composed of these single loops? Would it be just a simple sum of them? Do I need to consider the mutual inductance between single loops as well?

Thank you in advance.

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# Inductance for an arbitrary shape coil composed of single loops

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