A $500-$km$,500-$kV$,60-$Hz$,$ uncompensated three$-$phase line has a positive$-$sequence series impedance z $=0\mathrm{.}065+$j$0\mathrm{.}021/$km and a positive$-$sequence shunt admittance y $=$ j$3\mathrm{.}1106$ S$/$km$.$ At full load, the line delivers $840$ MW at unity power factor and at $475$ kV$.$

$($a$)$

Calculate the sending$-$end voltage. $($Enter the magnitude of the line$-$to$-$line voltage in kV$.$ Round your answer to at least the nearest integer.$)$

kV

$($b$)$

Calculate the sending$-$end current. $($Enter the magnitude in kA$.$ Round your answer to at least two decimal places.$)$

kA

$($c$)$

Calculate the sending$-$end power factor. $($Round your answer to at least three decimal places.$)$

$($d$)$

Calculate the full$-$load line losses $($in MW$).$

MW

$($e$)$

Calculate the percent voltage regulation.