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Transmission Line with Load

  1. Nov 26, 2013 #1
    1. The problem statement, all variables and given/known data
    Hey guys. I have a transmission line with a known characteristic impedance (50 Ω) of length L that is connected to an antenna that has a complex impedance of (50-j25)Ω.

    I am having extreme difficulty determining the minimum length (expressed in wavelengths) of line such that the input impedance is real.

    Let τ denote the reflection coefficient.

    I know that for the input impedance to have no complex component that (1+τ*e^(-jx))/(1-τ*e^(-jx)) should result in complex components vanishing. However, this is a rather complicated formula to solve in the state that it is in because both e^(-jx) and τ are complex numbers.

    Am I missing something here?
     
  2. jcsd
  3. Nov 26, 2013 #2
    Fortunately I was able to answer my own question. Thanks anyway!
     
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