Problem $1(20$ points$)($Chap $3)($Learning objective: Wave equation for TEM transmission line$)$

RG$-59$ coaxial transmission line can be modeled as having the following equivalent

circuit parameters: R$\text{'}=0\mathrm{.}164$ Sl$/$m$,$ G$\text{'}*200$ gS$/$m$,$ C$**67\mathrm{.}7$ pF$/$m$,$ and L$/*370$ nH$/$m$.$

Let us consider the attenuation in voltage over one meter of RG$-59.$ Assume the source

$$If the cable is perfectly impedance$-$matched at both ends, and the voltage magnitude is $1$ V at the source end, then what is the voltage magnitude at the other end?

$$Calculate the phase introduced by the cable. In other words, if the voltage phase is $0$ at the source end, then what is the voltage phase at the other end?

$$Even though you may not yet have formally encountered radio waves, you already know how to compute the answers to parts $($a$)$ and $($b$)$ for a radio wave propagating in free space.

Compare your answers to parts $($a$)$ and $($b$)$ for RG$-59$ to those for a radio wave at the same frequency that propagates the same distance in free space.