Question

A new printed circuit board design for a high speed electronic oscillator seems to fail at high frequencies. Your job is to double check the design. One part of the circuit consists of two rectangular loops, the smaller one centered inside the larger one. Both rectangles have their long sides in the same direction. The smaller rectangle has long sides of length ℓ and short sides of length w. It is centered inside the larger rectangle whose long sides are very very long and whose short sides have length h. You calculate the mutual inductance of the two loops in terms of the given quantities and known constants to see if this could cause the circuit to act abnormally. Because the long sides of the larger rectangle are very long, you decide to neglect the effect of its short sides on the inner rectangle.

Answer 1