The inductance of a current constriction Skin effect

Abstract

The constriction of the current through the contact does not only generate an increase of the resistance but also produces an additional inductance. In order to compute its order of magnitude, we investigate the simplified current flow as illustrated in Fig. (11.02) and follow the deduction given by Busch ¹. We compare Fig. (11.01), showing lines of current flow in a cylindrical conductor, with Fig. (11.02) where

two cylinders are held against each other, the base, A _a , being the apparent contact surface with a relatively small conducting area, A _c , in its center. As in Fig. (1.02), the conducting contact surface is replaced by an artifice consisting of a perfectly conducting sphere with radius b. The larger sphere in the figure has the same radius, B, as the cylinders. We imagine a radial current flow out through this sphere from b to B. In the surrounding body the lines of flow are assumed to be parallel to the axis of the cylinders as in Fig. (11.01).