Procedure

Consider a telephone cable line operating well above its normal frequency of operation. Using the

differential equation solver ODE$45$ in MATLAB, simulate the propagation of a harmonic wave in the

transmission line at frequency $f_o=5MHz.$ Use the following primary line parameters

$L={0\mathrm{.}477}^{**}{10}^{{?}^{{?}^{?}}}-6$;

$C={51\mathrm{.}6}^{**}{10}^{{?}^{{?}^{?}}}-12$;

$R=0\mathrm{.}999$;

$G={0\mathrm{.}118}^{**}{10}^{{?}^{{?}^{?}}}-6$;

First, compute characteristic impedance and propagation constant. Tabulate your results, including

units, here:

Next, determine the voltage and current as a function of length. First, create the function

$f=(z,A)[{}^{**}A(1)-Z^{**}A(2)$;$-Y^{**}A(1)+0**A(2)]$;

Notice that $f$ represents a matrix with two rows, corresponding to the telegrapher equation in matrix

form. Also, $A$ is an $N2$ array where $A($:$1)$ is the voltage versus distance and $A($:$,2)$ is the current versus

distance. Next, define the initial conditions

Zin$=Zo$; Vo $=1\mathrm{.}0$;

Io $=$ Vo $\frac{?}{?}$ Zin;

and create a vector for the length coordinate $0z1000ft$ in steps of $0\mathrm{.}1ft.$ Now call ODE$45$ to

calculate the values of the array $A$ :

Figure $1.$ Your plot should look like this. Replace this graph with your result. Describe here what this

graph is$.$

Next, simulate the propagation in a lossless line. For this purpose, set $R=G=0.$ First, compute all

parameters of interest. Tabulate your results, including units, here:

Also, plot the real part of $V(z)$ and the real part of $I(z)$ below.

Figure $2.$ Description.

Use the ylim$,$command to set limits on the $y-$axis between $-2\mathrm{.}0$ and $2\mathrm{.}0.$