balanced three$-$phase, star$-$connected load consists of a resistance of $239\mathrm{.}8,$

connected in series with an inductor, which has inductance of $708$mH$.$ Each

phase load is connected to a three$-$phase supply with a line voltage of $440$V

at $50$Hz$.$ Determine:

$($a$)$ Draw a per phase equivalent circuit of this system. $(5$ marks$)$

$($b$)$ The impedance of the load. $(5$ marks$)$

$($c$)$ The line current in complex number form and the power factor. $(5$ marks$)$

$($d$)$ The real power, reactive power and apparent power. $(5$ marks$)$

$($e$)$ The amount of power factor Vars that would need to be fitted at the supply

end to achieve$0\mathrm{.}95$ power factor at the supply.

$(5$ marks$)$

$1$