$5-)$ The circuit shown in the figure consists of a transmission line with a series impedance of $0\mathrm{.}2+$j$0\mathrm{.}05$ and is powered accordingly.

a$)$ Calculate the RMS value of the sending voltage $($Vs$)$ for the line.

b$)$ Compute the active power $($PPP$)$ and reactive power $($Q$)$ associated with the line impedance.

c$)$ Determine the active power $($Pload$\{$load$)$ and reactive power $($Q $\{$load$\}$ at the load side.

d$)$ Calculate the efficiency of the line, defined as $=$P $\{$load$\}/$ P $\{$input$)100$