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I am preparing for my circuits final and I am having trouble with this question. Can someone guide me through it?

I am trying to solve this using phasors.

I know I will have to use superposition since the circuit contains sources with different frequencies.

So first I start of with converting the Voltage source to a cosine function and then into phasor notation. So I get V = 5∠-90 where ω = 10000 rad/s.

Then 1mH inductor = 10j Ω, 20μF capacitor = -5j Ω and I open circuit the current source.

If I do nodal analysis now, I get 2 equations but dont know how to solve them.

eq1: V1 - V2 = Vx

eq2 at node V2: V2/-5j + (V2-V1)/5 + (V2 - (2Vx+V1))/10j

and of course V1 = 5∠-90.

Now I tried to solve for Vx and I got 0....Which doesnt make sense since that would create a short circuit. Help?!!?

Thanks

C25

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# Mesh/Nodal analysis with superposition, dependent source and diff frequencies

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