I know: K goes up, Lstray goes down. But what is the precise mathematical relationship between the two and the inductors?
Thanks: robert
I know: K goes up, Lstray goes down. But what is the precise mathematical relationship between the two and the inductors?
Thanks: robert
Try the Wikipedia explanation at
V = L * di/dt
(It may also be useful to recall that Faraday's Law says that there is an electric potential around any closed loop which is proportional to the rate of change of magnetic field enclosed by that loop...)
But when you add mutual inductance M between L1 and L2, where i1 is the current in L1 and i2 the current in L2,
V(L1) = L1 * di1/dt + M * di2/dt.
Then the coupling coefficient k is given by
k = M/sqrt(L1*L2).
Clearly, if k=1, 100% of the magnetic field of L1 is shared by the turns of L2, and vice-versa; and if k=0, none of the magnetic field of either inductor is shared by the turns of the other. This gives some clues about how to maximize k. Can you deduce that k is the fraction of the magnetic field which is shared?
Cheers, Tom
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