A \(40-\mathrm{km}, 220-\mathrm{kV}, 60-\mathrm{Hz}\), three-phase overhead transmission line has a per-phase resistance of \(0.15 \Omega / \mathrm{km}\), a per-phase inductance of \(1.3263 \mathrm{mH} / \mathrm{km}\), and negligible shunt capacitance. Using the short line model, find the sending-end voltage, voltage regulation, sending-end power, and transmission line efficiency when the line is supplying a three-phase load of

(a) \(381 \mathrm{MVA}\) at 0.8 power factor lagging and at \(220 \mathrm{kV}\) 

(b) \(381 \mathrm{MVA}\) at 0.8 power factor leading and at \(220 \mathrm{kV}\).