$4.$ Propagation in Wood. This problem builds from code developed for Problem $5$ of HW$1.$ Consider a $100$

MHz wave with initial amplitude of $5$ V$/$m propagating in wood. The propagation parameters of the wave in

wood are $\backslash$alpha $=0\mathrm{.}086$ and $\backslash$beta $=2\mathrm{.}57.$

a$)$ Make a MATLAB animation of the wave propagation for E$($z$,$ t$)$ from t $=0$ to t $=100$ nsec in $0\mathrm{.}25$ nsec

increments. To do this you need to write a for loop and continuously plot E$($z$,$ t$)$ for z from $1$ to

$20$ meters and different values of t$.$ Upload your animation file to CANVAS.

b$)$ What is the maximum wave amplitude at $10$ meters?

c$)$ Find the values of $\backslash$epsi r and $\backslash$sigma for the wood.