Thevenin impedance with mutual inductance

1. Dec 18, 2008

1. The problem statement, all variables and given/known data
I have a part of circuit with 2 inductors (L1, L2) of given values having a given mutual inductance, and a (capacitor+inductor L3) parallel to L2. Please find attached the circuit.

2. Relevant equations
Find the impedance of this part of the circuit.

3. The attempt at a solution
(all in frequency domain) I tried making the equivalence of the (capacitor+inductor L3) and the inductor L2, then add this result to L1. Then I subtracted twice the mutual inductance (because dots are on opposite sides) but didn't reach the desired value.

Edit: In other words, [ (-10j+5j) || (6j) ] + 12j - 16j was my answer, but it seems wrong compared to the book's answers. The book gave -162j as a result.

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Last edited: Dec 18, 2008