We consider the common rail arrangement consisting of two long, parallel, rectangular rails. We calculate the inductance per unit length L’ in the short flight time limit where the skin depth is much smaller than any rail dimensions, the current is all on the rail surface, and the magnetic field does not penetrate the rails. We give the solution based on the Schwartz - Christoffel transformation that maps the boundaries of the problem into a simpler shape.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering