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Node voltage Analysis with voltage controlled voltage source

  1. Sep 2, 2011 #1
    1. The problem statement, all variables and given/known data
    Here is the circuit

    3. The attempt at a solution
    I've tried it a few ways, but the one I'm going for at the moment is this

    Node 1: (v1-v2)/10 + (v1-v3)/15 + v1 /5 = 1
    Node 2: (v2-v1)/10 + (v2-v3)/10 + v2 / 5 = 2
    Node 3: 2Vx where Vx = (v2 - v1)/10

    When I solve I don't get the correct answers:
    Node 1: 5.405V and Node 2: 7.297V

    I tried doing equations without a 'node 3' involved but they just didnt work out either. If i DO only need to use 2, please explain to me how to do so, I'm really stuck :(
  2. jcsd
  3. Sep 2, 2011 #2


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    Don't have time to dive into this thing yet, but this is not helping:
    should be vx = v2 - v1
  4. Sep 2, 2011 #3
    You're a lifesaver, figured it out.
    It's always the small things that get me, stupid dependency equations.

    Thank you :)
  5. Sep 2, 2011 #4

    rude man

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    I assume you dug up the 4th equation? 4 unknowns need 4 equations: v1, v2, v3, vx.
    Of course, the 4th is obvious ....
  6. Sep 3, 2011 #5
    haha i had the 4th equation i just wrote it wrong >.<
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