Work

An integral for self inductance of thin wires

Year: 2024

Type: article

Abstract: I propose an elegant method of calculating the self inductance of a thin wire of arbitrary shape. The inductance is broken to into two parts - the inductance of a straight wire of the same length and cross section, and the remainder, the ‘curve inductance’ due to the shape of the axial curve. The curve inductance is finite and can be calculated from a double integral by subtracting the straight wire singularity inside the integrand. Unlike all other methods, this does not involve a small parameter, and can be applied to any curve knowing its arc length parameterization. We use the circular arc and helix as examples and find that the integral is fast and accurate. The limits of the approximation are investigated for touching parallel wires.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ad91f9

Author: Matt Majic

Institution: Victoria University of Wellington

Language: English

Topic: Electrical and Electromagnetic Research

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,285

Funder: Royal Society Te Apārangi