$($b$)$ A balanced three$-$phase machine is connected to a three$-$phase voltage source with the line voltage of $380$ V $.$ The load has an input power of $2\mathrm{.}2$ kW $,$ and the power factor is $0\mathrm{.}85$ lagging.

$($i$)$ Determine the apparent power and reactive power delivered by the source. $(4$ marks$)$

$($ii$)$ Calculate the magnitude of the L$2$ phase current of the supply source.

$(4$ marks$)$

$($iii$)$ If the efficiency of the load is $90\%,$ calculate the output power of the machine.

$(3$ marks$)$