frequency domain circuit analysis

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abab123

Joined Apr 3, 2011
2
Hi,

I am working through some problem sets about frequency domain circuit analysis. I have all the solutions, but I'm fairly sure there's a mistake in one of them:

In the circuit (+ solution) I attached the 2nd node equation doesn't match my result. Here's what I get for the V2 node:

(V2 - V1)/2j + V2 / -2j + (V2 + 1/8V1) / 1 = 0

<=> V2 - V1 - V2 + 2jV2 + 2j/8V1 = 0

<=> V1(1 + j/4) + 2j V2 = 0 != V1(0.25+j) + V2(2)

Also, I don't understand why they labeled the dep. v source voltage V2, I don't think they are at the same potential...

Thanks in advance,

PM

EDIT:: it seems that every time I post I find the mistake right after I hit Post. I missed the - sign for V1 when factoring... I actually posted this because I originally tried to do this using mesh analysis instead of node analysis, and my answer was really different, and I can't seem to figure out why.. :((
 

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