A \(60-\mathrm{Hz}, 100-\) mile, three-phase overhead transmission line, constructed of ACSR conductors, has a series impedance of \((0.1826+j 0.784) \Omega / \mathrm{mi}\) per phase and a shunt capacitive reactance-to-neutral of \(185.5 \times 10^{3}\) \(\angle-90^{\circ} \Omega\)-mi per phase. Using the nominal \(\pi\) circuit for a medium-length transmission line,

(a) determine the total series impedance and shunt admittance of the line;

(b) compute the voltage, 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 \(230 \mathrm{kV}\); 

(c) find the percent voltage regulation of the line.