Parallel conducting loops

Problem statement

Consider two parallel conducting loops with centres on the same axis, some distance z apart. The radii of the loops are a and b where a>>b. Let a current pass around the larger loop, and calculate the flux linking the smaller one.

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

Objective : to find the mutual inductance M of a coaxial cable .
Principles : Biot-Savart law.

Method of analysis : Application of Biot-Savart law and flux linkage.

Sketch :

Maths :

Matlab(R) solution
Solution variables
Input variables



Large loop radius, a (metres)			
Small loop radius, b (metres)			
Distance between loops, z (metres)		




Output variables



Mutual Inductance M.