$5)$ A $60-$Hz$,138-$kV $3$ the transmission line is $225$ mi long. The distributed line parameters

are

r $=0\mathrm{.}169/$mi l $=2\mathrm{.}093$ mH$/$mi c $=0\mathrm{.}01427$ F$/$mi g $=0$

The transmission line delivers $40$ MW at $132$ kV with $0\mathrm{.}95$ p$.$f$.$ lagging. Find the

sending$-$end voltage and current. Find the transmission$-$line efficiency

$6)$ Find the $-$equivalent circuit for the transmission line described in problem $5.$