Q$1.$ A $3-$ph$,440$V a$.$c$.$ generator supplies the following loads:

a star connected load of $33$ kVA and power factor $0\mathrm{.}9$ leading

a delta connected load of $40$ kW and power factor $0\mathrm{.}85$ lagging

miscellaneous loads of $23$ kVA and power factor $0\mathrm{.}8$ lagging

$($a$)$ Determine the kVA supplied by the generator.

$(10$ marks$)$

$($b$)$ Calculate EACH of the following:

$($i$)$ the current supplied by the generator; $(10$ marks$)$

$($ii$)$ the phase currents for the star and delta loads. $(10$ marks$)$