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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2009-07-03
Validity Check of Mutual Inductance Formulas for Circular Filaments with Lateral and Angular Misalignments
By
Slobodan Babic,

    Dr. Slobodan Babic

    Retired

    53 Berlioz, 101, H3E 1N2

    Canada

    Homepage

Frederic Sirois,

    Dr. Frederic Sirois

    Departement de Genie Electrique

    Ecole Polytechnique

    Canada

    Homepage

Cevdet Akyel

    Dr. Cevdet Akyel

    Departement de Genie Physique

    Ecole Polytechnique

    Canada

    Homepage

Progress In Electromagnetics Research M, Vol. 8, 15-26, 2009
doi:10.2528/PIERM09060105 | Google Scholar

Abstract
In this paper we derived the formula for calculating the mutual inductance between circular filaments with lateral and angular misalignment by using the approach of the magnetic vector potential. The results obtained correspond to those of F. W. Grover, although the latter used the general formula given by the Neumann integral instead of a vector potential approach. However, the major purpose of this paper is to clarify some confusion introduced in previous works regarding the mutual inductance calculation between thin filamentary circular coils with parallel axes in air. This problem has been solved by Kim et al. (1997) using the magnetic vector potential, but unfortunately it leads to erroneous results, even for slight misalignments of the coils' center axes. This is why we chose to use the approach of the magnetic vector potential to show that, when properly derived, the results must indeed reduce to the well known F.W. Grover's formulas.
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Citation
Slobodan Babic, Frederic Sirois, and Cevdet Akyel, "Validity Check of Mutual Inductance Formulas for Circular Filaments with Lateral and Angular Misalignments," Progress In Electromagnetics Research M, Vol. 8, 15-26, 2009.
doi:10.2528/PIERM09060105
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