$5\mathrm{.}12$ A $60-$Hz$,100-$mile, three$-$phase overhead transmission line, constructed of ACSR conductors, has a series impedance of $(0\mathrm{.}1826+$ j$0\mathrm{.}784)/$mi per phase and a shunt capacitive reactance$-$to$-$neutral of $185\mathrm{.}510390-$mi per phase. Using the nominal circuit for a medium$-$length transmission line, $($a$)$ determine the total series impedance and shunt admittance of the line. $($b$)$ Compute the voltage $($lineto$-$line$),$ the current, and the real and reactive power at the sending end if the load at the receiving end draws $200$ MVA at unity power factor and at a line$-$to$-$line voltage of $230$ kV$.(21$ marks$)$