Impedance of Parallel Dependent Sources.

[ShamelessGit]

Homework Statement

I have this circuit:

0----------C----------0
U1___R C I1 I2 R C ___U2
0---------------------0

That's supposed to be two sets of Resistor, Capacitor, and dependent current sources all in parallel except with a capacitor separating the dependent current sources on the top wire. I need to know the impedance across U1. The U1 and U2 represent the voltage drops across the top and bottom wires. I1 = aU2 and I2 = bU1

Homework Equations

I must not know them all, otherwise I could solve it. I know Kirkoffs laws and superposition, mesh analysis, and nodal analysis (or at least I think I do, I just learned it very recently).

When a = b and the resistors are taken out, this circuit is supposed to become the equivalent of a capacitor and inductor in parallel.

The Attempt at a Solution

I've tried a lot of different methods, and I either get so many terms that no sane teacher would ever expect me to have to work with them all, or I get a result that is not an equivalent circuit of an inductor if I try to do the same thing without the resistors and with a = b. There was a homework assignment before this in which a gyrator and a capacitor were used to make an equivalent inductor, but I don't think I can do the same thing thing as before because there are more nodes, although it looks a hell of a lot like a gyrator when a = b.

I started this class a few weeks behind, it's taught in a foreign language, and I don't really have any access to homework help, so it's a damn hard class.

 

[gneill]

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