The Accurate Computation of Self and Mutual Inductances of Circular Coils

A new simple algorithm is presented for the calculation of the self and mutual inductance of coaxial circular coils, based on Bartky's transformation. The algorithm is applicable over the entire range of coil sizes, shapes and degrees of coupling. It is extremely efficient and produces results to a specified and arbitrary accuracy. The method may be extended to calculate the inductance of coils of finite thickness using two-dimensional quadrature formulae.