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Nodal analysis

  1. Oct 30, 2011 #1
    For the following circuit, can someone please correct my equations for nodal analysis (KCL)
    9i5w11.png

    I am especially unsure about my second equation because of the dependent voltage source to the left of the node.

    1) I1 = (V1 - 3I2)/1
    2) 0 = V3/2 + (V3 -V2)/2
    3) I2 = (V2-V3)/2 + 2V3
     
  2. jcsd
  3. Oct 30, 2011 #2

    NascentOxygen

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    Staff: Mentor

    (1) and (2) are wrong.

    N.B., current flows though every element in the circuit.
     
  4. Oct 30, 2011 #3
    the dependent sources are throwing me off. are the equations at least partially correct?
     
  5. Oct 30, 2011 #4

    gneill

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    Staff: Mentor

    Your third equation is okay. The first equation is ignoring the fact that the controlled voltage source 3I2 is connected to V3, not ground. The second equation is ignoring any current that may be flowing into the V3 node via the 3I2 source.

    What is it you are expected to solve for? Is it the three voltages in terms of currents I1 and I2?

    You might find it beneficial to write an equation in terms of the supernode (as indicated by the line breaks):

    attachment.php?attachmentid=40509&stc=1&d=1320006593.gif
     

    Attached Files:

  6. Oct 30, 2011 #5
    ultimately, i will be solving for y-param. i was able to do so using mesh analysis instead, but i was hoping to try and obtain the nodal equations to double check my answers.
     
  7. Nov 1, 2011 #6

    The Electrician

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    Gold Member

    Are you wanting the Y parameters only for the two-port? That is, just for V1-I1 as the input and V2-I2 as the output, in effect reducing the whole circuit to just a two-port?
     
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