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Homework Help: Maximum Power Circuit

  1. Oct 8, 2009 #1
    1. The problem statement, all variables and given/known data
    http://img63.imageshack.us/img63/80/circuit1.jpg [Broken]

    2. Relevant equations

    P = (I^2)(R)

    3. The attempt at a solution

    First, I turned the 2A and 4A current sources into voltage sources by V = IR. So (2A)(10Ω) = 20V and (4A)(12Ω) = 50V

    Then I had the circuit simplified into 4 loops, then applied mesh current analysis and got the following:

    I1= 3.1374A
    I2= -0.2125A
    I3= -5.7941A
    I4= 0.1874A

    (I started loop 1 in the bottom left square and went clockwise in numbering.)

    Now, I'm not sure how to find max power if I don't know the resistance of the load.

    Please help! If there is an easier/better way to do this please explain!
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Oct 8, 2009 #2
    Under what conditions you will get max power transfer from a source with resistance Rs to a load Rl?

    How Rs and Rl are related?

    Knowing that, can you find Rs?

    (R as it appears looking into a-b ) without Rl
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