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.

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

Electromagnetic Induction. Maxwells Equations