Inductance and resistance calculations for a pair of rectangular conductors

Various semi-analytical and numerical calculations to compute the inductance and resistance of a pair of rectangular conductors are reviewed. The DC inductance of infinitely thin strips and strips of finite thickness are specifically considered. In the former case, the inductance is computed using the T-Ω method, whereas in the latter case it is computed by direct integration using Maple. In both cases, the results are 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. Conformal mapping theory is used 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.