Equation of the average power delivered to the load

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Discussion in 'Math' started by i_nour, Dec 16, 2015.

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  1. Dec 16, 2015 #1
    i_nour

    Thread Starter Member

    Nov 9, 2015
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    1
    how do we get (Rth + Rl)^2 + (Xth + Xl)^2 in the denominator ?!
    DSC_0381.JPG
    isn't (Zth+Zl)^2=(Rth+Rl)^2 + 2j (Rth+Rl)(Xth+Xl) - (Xth+Xl)^2 ?
     
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  2. Dec 16, 2015 #2
    The Electrician

    AAC Fanatic!

    Oct 9, 2007
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    AbsSq.png
     
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    eeabe, i_nour and RRITESH KAKKAR like this.
  3. Dec 16, 2015 #3
    WBahn

    Moderator

    Mar 31, 2012
    22,758
    6,779
    The key is to note that

    Z² is not the same as |Z|²

    Try taking the magnitude of what you got and you will get their result, since

    |Z²| = |Z|²
     
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