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Complex number help (AC circuit)

  1. Sep 3, 2013 #1
    1. The problem statement, all variables and given/known data


    Use the supernode technique to find I0 in the circuit


    [Broken]



    2. Relevant equations

    nodal analysis, AC analysis


    3. The attempt at a solution

    Taking the left essential node as V1 and the right essential node as V2,


    V1 + 12V = V2

    and

    -V1/(1-1j)Ω + -V1 / 2Ω = V2 / 2jΩ + V2 / (2+2j)Ω


    Then

    (-2ΩV1 - 1ΩV1 + 1jΩV1)/(2-2j)Ω = 2ΩV2 + 4ΩjV2/(-2+4j)Ω


    And sorry to say, but need help in knowing the best way to isolate v1 or v2 from here...
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Sep 3, 2013 #2

    gneill

    User Avatar

    Staff: Mentor

    For nodal analysis using the supernode technique, there's really only one node in this circuit: the supernode itself. All the other nodes are embedded in series-connected branches wherein you can simply combine the impedances.
     
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