All Problems

Electromagnetic Induction. Maxwells Equations

Problem 3.329

Calculate the mutual inductance of a long straight wire and a rectangular frame with sides \(a\) and \(b\). The frame and the wire lie in the same plane, with the side \(b\) being closest to the wire, separated by a distance \(l\) from it and oriented parallel to it.

Reveal Answer
L12=μ0b2πln(1+al)L_{12}=\frac{\mu_{0} b}{2 \pi} \ln \left(1+\frac{a}{l}\right)