A single rectangular loop is placed distance C from a wire of current I. The dimensions of the loop are BxA.
The loop and wire both lie in the same plane, and a is at right angles to I.
Derive an expression for the mutual inductance, given that you found flux in a previous question.
B = mu I / 2R
Mutual inductance = flux(1)/i(2) = flux(2)/i(1)
The Attempt at a Solution
I have found the flux through the coil (I think it is right?):
flux = int(B.dA)
take the area as AxB, and let dA = b dr. The limits on the integral become c and c+a.
Integrate to find magnetic flux.
After finding flux, I am not sure how to go from here to the mutual inductance. I could just divide by i, but this seems WAY too simple for a question worth a lot of marks.
Or is it really just that simple?