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Transmission Line Problem

Discussion in 'Electronic Basics' started by jakob, Aug 5, 2003.

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  1. jakob

    jakob Guest

    Say you have a circuit where a signal-generator Vg(t) is in series
    with a generator impedance Zg. A transmission line of length k is in
    series with Zg. At the end of the transmission line an impedance load
    ZL is connected.

    This is a sketch of the circuit:

    |-----Zg-----___________________________________------
    | |
    Vg(t) |
    | ZL
    | |
    -------------___________________________________------


    Say you know the basic parametres for the transmission line C,G, L and
    R

    And you also know the signals angular frequency w

    How do you calculate v(x,t) which is the voltage at position x at time
    t
    on the transmission line?

    As far as I understand the solution is:

    v(x,t) = real part of the complex number V(x)*exp(-jwt)

    where V(x) = Vp * exp (jgx) + Vm * exp (-jgx) is the phasor and g is
    the propagation constant

    If this is correct, how do I calculate all the necessary constants
    like Vp and Vm ?
     
  2. jakob

    jakob Guest

    for some reason the diagram changes when I commit it...

    so I will try to describe it like this instead:

    GND --- Vg --- Zg ---(transmissionline)---ZL---GND
     
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