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Node Voltage Analysis

  1. Feb 21, 2015 #1
    1. The problem statement, all variables and given/known data

    Determine the three node voltages, va, vb, and vc, when all the conductance's are equal to 1S
    Circuit Diagram:
    Circuit_Diagram.jpg

    The labels are a bit cut off, hope you guys can see it. The current source parallel with G2 is 3A

    2. Relevant equations


    3. The attempt at a solution

    I think their is a mistake in their solutions to the equations
    These are my equations:

    Node A:
    Va(G1+G2+G6) - G2*Vb - G6*Vc = 9-3
    Node B: -G2*Va + Vb(G2 + G3+ G4) - G4*Vc = 3
    Node C: -G6*Va - G4*Vb + Vc(G4 + G5+ G6) = 7

    These are the textbook solutions:

    Node A:
    Va(G1+G2+G3) - G2*Vb - G6*Vc = 9-3...........................How is G3 included when it is part of node B ?
    Node B: -G2*Va + Vb(G2 + G3+ G4) - G4*Vc = 3
    Node C: -G6*Va - G4*Vb - Vc(G4 + G5+ G6) = 7..................How did they get -Vc ?

    My main question is, Is the textbook correct, If yes, then why ?

    Thanks
     
  2. jcsd
  3. Feb 21, 2015 #2

    gneill

    User Avatar

    Staff: Mentor

    Your equations look fine. It looks like you've caught an error in the text.
     
  4. Feb 21, 2015 #3
    That's what I thought, thanks :)
     
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