Maximum Power Transfer

Discussion in 'Homework Help' started by Celostrophus, Jul 31, 2012.

  1. Celostrophus

    Thread Starter New Member

    Jul 22, 2012
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    0
    8. Determine the value of R and C which when conntected as shown maximize the average power absorbed from the source. Determine the optimum average power.

    My approach for this problem was to first solve for the Thevenin equivalent impedance for the circuit, and then use this to solve for the capacitance and resistance.

    The problem is the capacitor and resistor are in parallel so I get a enormous ridiculous equation relating the two impedances.... any help?

    Zth = 10 + 5j Ω
    Veff = 10V
     
    Last edited: Jul 31, 2012
  2. mlog

    Member

    Feb 11, 2012
    276
    36
    I got very reasonable values. First, your Z thevenin is 10 ohms in parallel with j10. After you calculate that value, then you can add 5 ohms to it. Second, your thevenin voltage is found as a voltage divider.

    By the way, don't be afraid to switch back and forth between Z and Y when it is convenient.

    Updated: I just realized your Zth is correct after you add the 5 ohms to the parallel combination. Now you need to find the right Vth at the terminals.
     
    Last edited: Aug 1, 2012
  3. Celostrophus

    Thread Starter New Member

    Jul 22, 2012
    4
    0
    R = 12.5Ω
    c = 40μf
     
  4. mlog

    Member

    Feb 11, 2012
    276
    36
    That's what I got too.
     
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