On a printed circuit board, a relatively long straight conductor and a conducting rectangular loop lie in the same plane, as shown in Figure P31.9. Taking h = 0.500 mm, w = 1.60 mm, and L = 2.70 mm, find their mutual inductance.
Assume that the long wire carries current I. Then the magnitude of teh magnetic field it generates at a distance x from the wire is
and this field will pass perpendicularly through the plane of the loops. Therefore the flux is given by:
The mutual inductance between the wire and the loop is then: