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Circuit analysis -- Find the complex apparent power of I(g2)

  1. Jul 5, 2016 #1
    1. The problem statement, all variables and given/known data
    Given the circuit of sinusoidal current (attachment 1) with given data:
    [itex]\underline{Z_3}=200(3-j4)\Omega, \underline{Z_4}=100(3+j20)\Omega, \underline{Z_5}=100(3+j4)\Omega, \underline{Z}=100(2+j5)\Omega, \underline{I_{g2}}=-10(2-j)mA[/itex]
    After the switch is closed, the increment of voltage 1-2 is given: [itex]\Delta U_{12}=(4+j3)V.[/itex]
    Find the complex apparent power of [itex]\underline{I_{g2}}[/itex] after the switch is closed.
    im_x.PNG


    2. The attempt at a solution
    By using superposition theorem, we can separate the given circuit into two circuits (attachment 2 and 3):
    im_x1.PNG im_x4.PNG
    From the second circuit (attachment 2), we can find the voltage [itex]\underline{U_{34}'}[/itex].

    In the next circuit (attachment 3) [itex]\underline{I_{g1}},\underline{Z_1},\underline{Z_2},\underline{E_2},\underline{E_6}[/itex] are not given.
    Question: How to find the voltage [itex]U_{34}=U_{34}''[/itex] in this case?

    Total complex apparent power is given by [itex]\underline{S_{I_{g2}}}=\underline{{I_{g2}}^{*}}(\underline{U_{34}'}+\underline{U_{34}''}).[/itex]
     
  2. jcsd
  3. Jul 5, 2016 #2

    The Electrician

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    Gold Member

    This is a homework forum and the forum rules require you to show your attempt to solve the problem.

    Are you required to use superposition to solve the problem?
     
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