Maximum Power Transfer Theorem DC & AC

Discussion in 'Homework Help' started by Agonche, Dec 20, 2011.

  1. Agonche

    Thread Starter Member

    Aug 26, 2011
    30
    0
    Can anyone help me with the theorem "Maximum Power Transfer" on DC and AC circuits.

    I know that
    R_{L}=R_{S}
    and
    X_{L}=-X_{S}

    but why. I need a proof.
    can anyone explain the derivative of dP/dR, or how it should be solved.
    any information would be appreciated.
     
  2. jegues

    Well-Known Member

    Sep 13, 2010
    735
    43
    If you follow this link,

    http://en.wikipedia.org/wiki/Maximum_power_transfer_theorem

    Instead of solving for dP/dR, they simply solve for the when the denominator in the P(R) expression is minimized. (This gives the maximum P(R))

    The same approach is applied for AC circuits, only holding RL at a fixed value.
     
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