(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Greetings. I am having difficulty with a couple of parts to a homework problem. Mainly coming up with the transfer functions to plot V_o. See the picture for the problem statement:

[PLAIN]http://img827.imageshack.us/img827/5481/problempa.jpg [Broken]

2. Relevant equations

[tex]l \leqq v_{ph}*T_{rise} / 10[/tex]

[tex] Z_o = Z_c = 75\Omega [/tex]

I've also included the model parameters for the two-port network:

[PLAIN]http://img8.imageshack.us/img8/1712/modelsz.jpg [Broken]

3. The attempt at a solution

I found T_rise to be 6.66ns. I am able to calculate L and C for the line using the characteristic impedance equation from Z so L = 0.5*10^-6 H/m and C = 88.88*10^-12 F/m. I'm having difficulty with the transfer functions. I can find it for the 7 model:

[tex]\frac{1/LC}{s^2+s\frac{R}{L}+\frac{1}{LC}} = H(s) [/tex]

But not for the other two. Also. In order to plot Vo correctly, we have to incorporate a delay operator with the ramp function as such:

[tex]\frac{1-e^{sT_{rise}/0.8}}{T_{rise}/0.8} = D(s) [/tex]

So our final plot would be the step response (or ramp, as my colleagues and I think the professor wants) of D(s)*H(s).

Any and all help would be greatly appreciated! Other examples for this type of problem is very difficult to find on the internet.

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# Two port network model and analysis

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