Node voltage Analysis with voltage controlled voltage source

  1. 1. The problem statement, all variables and given/known data
    Here is the circuit
    http://i.imgur.com/Xn2mc.jpg

    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. lewando

    lewando 1,077
    Gold Member

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

    Thank you :)
     
  5. rude man

    rude man 5,869
    Homework Helper
    Gold Member

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