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Characteristic impedance

  1. Jun 25, 2012 #1
    1. The problem statement, all variables and given/known data
    Transmission line is designed so it has selfinductance, L = 7.0x10^-7 Hm^-1 & signal speed 70% of c
    Find characteristic impedance


    2. Relevant equations
    Z = √L0/C0 Ω
    also
    v = 1/ √L0C0



    3. The attempt at a solution
    So
    L = 7.0x10^-7 Hm^-1
    v = 0.7c
    (c = 3x10^8 ms^-1)

    7(3x10^8)/10 = 1/√7.0 * C0
    so
    C0 = √((10(7.0x10^-7))/(7*3x10^8))
    C0 = √ 3.33x10^-15
    C0 = 5.77x10^-8 F

    Z = √L0/C0
    Z = √7.0x10^-7/5.77x10^-8
    Z = 3.4 Ω

    Which isn't in the park as far as expected result goes, so AGAIN, please could you show me where I went wrong.
     
  2. jcsd
  3. Jun 25, 2012 #2
    OK, OK I get it.
    Forgot to square, but square rooted instead.
    All sorted.
     
    Last edited: Jun 25, 2012
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