The same transmission line as ciled in Problem $3$ is to be operated at $60$ Hz and with a woltage, at the sending end, of $500$ kV $($RMS$).($Note there sre no real $500$ kV $,$ single phase lines, but just give us a little space bere...$)$

$($a$)$ If the line is opent at the receiving end, what is the magnitude of curtent frawit at the sending end? What is the magnitwde of voltage at the receiving esd?

$($b$)$ If the line is terminated with a resistance equivalent to the surge impedance: $R_L=Z_0.$ what are the receiving end voltage and sending end current? What are real and reactive powet at the sending end?

$($c$)$ Make the same estimates for a resistive load $R_L=\frac{z_2}{45}.$

$($d$)$ Make the same estimates for a resistive load $R_L=\frac{2}{\frac{2}{2}.}.$

$($e$)$ Calculate and plot receiving end voltage for real power loads of between zero and surge impedance loading, assuming unity power factor at the receiving end. You will probably want to use MATLAB to do the heavy lifting for this part and the next.

$($f$)$ Now, assume that we can provide reactive compensation at the receiving end. Calculate and plot receiving end voltage for a reasonable range of compensating reactive VARs for real power loads of $80\%,100\%$ and $120\%$ of surge impedance loading. $($You may do these for equivalent real admittance as the answer is really only important when voltage is nearly nominal.$)$