A method to calculate inductance in systems of parallel wires

TL;DR

This paper introduces a novel method that uses complex functions to simplify the calculation of magnetic fields and inductance in systems of parallel wires, making it easier to analyze their electromagnetic properties.

Contribution

The paper presents a new approach employing complex functions to compute inductance and magnetic energy density in parallel wire systems, streamlining traditional calculations.

Findings

Reproduces known inductance results for parallel wires

Simplifies magnetic field energy density calculations

Provides a unified complex function framework

Abstract

This paper gives a method that maps the static magnetic field due to a system of parallel current-carrying wires to a complex function. Using this function simplifies the calculation of the magnetic field energy density and inductance per length in the wires, and we reproduce well-known results for this case.