Inductance and resistance calculations for a pair of rectangular conductors

Goddard, K.F., Roy, A.A. and Sykulski, J.K. (2005) Inductance and resistance calculations for a pair of rectangular conductors. IEE Proceedings - Science, Measurement and Technology, 152 (2), 73-78. (doi:10.1049/ip-smt:20041058).

Record type: Article

Abstract

In this review paper we present various semi-analytical and numerical calculations, for computing the inductance and resistance of a pair of rectangular conductors. Sections 1-3 deal with the dc inductance of infinitely thin strips and strips of finite thickness. In the former case, the inductance is computed using the T-Ω method, while in the latter case it is computed by direct integration using Maple. In both cases, the results have been checked using finite element analysis. It is also shown how the dc inductance of three strips may be computed using the method of superposition of solutions. Sections 4-6 use conformal mapping theory to obtain the inductance of a pair of infinitely conducting strips. Infinitely thin strips and strips of finite thickness are considered and the inductance is compared against results obtained using finite element analysis. A method of estimating the resistance of the strips is described which is expected to give useful results when the skin depth is small in relation to the thickness of the strips.

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