Mutual Inductance and Repulsion of Two Adjacent Disk Coils

Abstract

In this paper are presented two formulas, the first, eq. (1), for the mutual inductance of two very thin, disk-shaped, duplicate, coaxial coils, and the second, eq. (2), for the electromagnetic force between the coils.A convergent series for the mutual inductance of two coaxial circles was given by Maxwell.1 This was extended to a considerable number of terms by E. B. Rosa and L. Cohen. 2 By the double integration of the formula for .two circles, formula (1) for two disk coils is obtained. It is shown that for certain shapes and positions of the coils, particularly when they are close together, this formula has distinct advantages.The mutual inductance of two thin, flat, coaxial coils, Fig. 1