Nodal Analysis with 2 adjacent voltage sources

Discussion in 'Homework Help' started by iamrob, Mar 14, 2012.

  1. iamrob

    Thread Starter New Member

    Mar 14, 2012
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    http://i1055.photobucket.com/albums/s502/vivarob/voltages.jpg

    Using nodal analysis: given i, the independent voltage source between v1-v2, and the dependent voltage source between v2-v3, and all resistance values in Ω determine voltages v1, v2, v3.

    My question involves the supernode/s - I'm not exactly sure if there is one or two. My question arises when writing the KCL equations (I'm assuming two super nodes).

    Supernode 1: the independent 10 V voltage source
    Assuming all currents leave the node 1-2: (v1-v3)/6 + v1/2 +v2/4 (now here i'm not sure if there is a current that leaves the node 2 into the dependent voltage source -- and if there is, i'm not sure how to write the current) I'm thinking v2-v3 = -5i would be the constraint equation to use for that voltage?

    Supernode 2: the dependent 5i V voltage source
    Additionally I run into problems here. I have current entering v3 from the 6Ω resistor and current leaving into the 3Ω resistor and I'm not sure what to do about the points from v2 to v3 -- (v3-v1)/6 + v3/3

    Any insight is greatly appreciated.
     
  2. Jony130

    AAC Fanatic!

    Feb 17, 2009
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    Try treat the hole circuit as a one big supernode.
     
  3. iamrob

    Thread Starter New Member

    Mar 14, 2012
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    Thanks for the reply!

    What happens with the 4 ohm resistor??
     
  4. Jony130

    AAC Fanatic!

    Feb 17, 2009
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    Simply short V1 with V2 and V3.
    Nothing happens with 4ohm resistor.
    Only 6ohm resistor "disappears".
     
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