All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.319

Find the inductance of a unit length of a cable consisting of two thin-walled coaxial metallic cylinders if the radius of the outside cylinder is \(\eta=3.6\) times that of the inside one. The permeability of a medium between the cylinders is assumed to be equal to unity.

Reveal Answer
L1=μμ02πlnη=0.26μH/mL_{1}=\frac{\mu \mu_{0}}{2 \pi} \ln \eta=0.26 \mu \mathrm{H} / \mathrm{m}