Self-Inductance with Neumann Formula

Calculate the self-inductance of wire loops of arbitrary geometry

You are now following this Submission

While closed-form expressions for inductance can be found for many common shapes of wire coils, this tool allows you to predict the inductance of wire coils of arbitrary shape.
This tool was used in the development of "Smart Braid" sensors.
This is a numerical implementation of the technique described by Richard Dengler in
"Self inductance of a wire loop as a curve integral"
(http://arxiv.org/abs/1204.1486)
Note that the calculations accomplished with this script can be calculated much more quickly with the freely available software FastHenry2 (http://www.fastfieldsolvers.com/products.htm#fasthenry2). A script that generates Smart Braid Geometry for FastHenry2 is available at:

https://www.mathworks.com/matlabcentral/fileexchange/62507-self-inductance-of-smart-braid-fiber-reinforced-elastomeric-enclosures

Cite As

Wyatt Felt (2026). Self-Inductance with Neumann Formula (https://www.mathworks.com/matlabcentral/fileexchange/50708-self-inductance-with-neumann-formula), MATLAB Central File Exchange. Retrieved .

General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0.0

Added reference to https://www.mathworks.com/matlabcentral/fileexchange/62507-self-inductance-of-smart-braid-fiber-reinforced-elastomeric-enclosures
Corrects an error in the distance evaluation between the two segments: changes "R > a*2" to "R > a/2"

1.0.0.0