Rearranging complex equation

Discussion in 'Math' started by ECE101, Dec 2, 2011.

  1. ECE101

    Thread Starter New Member

    Nov 25, 2011
    29
    0
    Hi,

    I'm just wondering if someone could help me figure out which steps were taken to determine the attached equation?

    [​IMG]

    Any help would be greatly appreciated!
     
  2. steveb

    Senior Member

    Jul 3, 2008
    2,433
    469
    Take your starting equation and multiply both sides by the denominator on the right hand side.

    Then multiply the Zo through on the right hand side and multiply the Zin through on the left hand side.

    Then swap the imaginary components on each side, by subtracting on each side. This will give the -j terms.

    Then reverse the process by factoring out the Zo and ZL and dividing by the bracketed part to get the equation for ZL.
     
    ECE101 likes this.
  3. ECE101

    Thread Starter New Member

    Nov 25, 2011
    29
    0
    Thanks steveb!

    Greatly appreciated!
     
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