Classical Electrodynamics · Problem 5.26

Maxwell Equations, Macroscopic Electromagnetism, Conservation Laws — John David Jackson

Physics — E&M · two-wire-transmission-line-self-inductance

Problem

A two-wire transmission line consists of a pair of nonpermeable parallel wires of radii aa and bb separated by a distance d>a+bd > a + b. A current flows down one wire and back the other. It is uniformly distributed over the cross section of each wire. Show that the self-inductance per unit length is L=μ04π[1+2ln⁡(d2ab)]L = \frac{\mu_0}{4\pi}\left[1 + 2\ln\left(\frac{d^2}{ab}\right)\right]

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