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Inductance for an arbitrary shape coil composed of single loops

  1. Nov 19, 2013 #1
    Dear all,

    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.
  2. jcsd
  3. Nov 19, 2013 #2


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    Science Advisor
    Gold Member

    You add self-inductances (assuming the coils are in series) and, yes, then take into account the mutual inductances between every pair of coils.
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