Magnetic fields and forces : A Coaxial Cable

Problem statement

The self-inductance of a circuit is defined as the ratio of total magnetic flux linking the circuit divided by the current through the circuit generating the flux. As with capacitance it depends only on the geometry of the circuit. The unit of inductance is the Henry.

Extracted from the Part 1A Electromagnetics Handout 2 - Magnetic Fields and Forces.

Objective : to find the self inductance L of a coaxial cable .
Principles : Ampere's law.

Method of analysis : Application of Ampere's law and flux linkage.

Sketch :

Maths :

Matlab(R) solution
Solution variables
Input variables



Core radius, a (metres)				
Outside radius, b (metres)			




Output variables



Self inductance L.