Chapter 5, Problem 5.33P

Consider a long radial line terminated in its characteristic impedance $Z_c.$ Determine the following:

(a) $V_1/I_1,$ known as the driving point impedance.

(b) $\left|V_2\right|/V_1|,$ known as the voltage gain, in terms of $a{l}.$

(c) $\left|I_2\right|/\left|I_1\right|,$ known as the current gain, in terms of $a{l}.$

(d) The complex power gain, $-S_{21}/S_{12},$ in terms of $a{l}.$

(e) The real power efficiency, $\left(-P_{21}/P_{12}\right)=\eta ,$ terms of $a{l}.$

Note: 1 refers to sending end and 2 refers to receiving end. $\left(S_{21}\right)$ is the complex power received at 2; $S_{12}$ is sent from 1.