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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2011-03-02
Mutual Inductance for an Explicitly Finite Number of Turns
By
John Thomas Conway

    Professor John Thomas Conway

    University of Agder

    Norway

    Homepage

Progress In Electromagnetics Research B, Vol. 28, 273-287, 2011
doi:10.2528/PIERB10110103 | Google Scholar

Abstract
Non coaxial mutual inductance calculations, based on a Bessel function formulation, are presented for coils modelled by an explicitly finite number of circular turns. The mutual inductance of two such turns can be expressed as an integral of a product of three Bessel functions and an exponential factor, and it is shown that the exponential factors can be analytically summed as a simple geometric progression, or other related sums. This allows the mutual inductance of two thin solenoids to be expressed as an integral of a single analytical expression. Sample numerical results are given for some representative cases and the approach to the limit where the turns are considered to be smeared out over the solenoid windings is explored.
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Citation
John Thomas Conway, "Mutual Inductance for an Explicitly Finite Number of Turns," Progress In Electromagnetics Research B, Vol. 28, 273-287, 2011.
doi:10.2528/PIERB10110103
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