$1.$ Two single$-$phase transformers A and B of equal voltage ratio are running in parallel and supplying a

load requiring $500$ A at $0\mathrm{.}8$ power factor lagging at a terminal voltage of $400$ V$.$ The equivalent

impedances of the transformers, as referred to secondary windings, are $(2+$ j $3)$ and $(2\mathrm{.}5+$ j $5)$ ohm.

Calculate the current supplied by each transformer.

$($Note$.$ The student is advised to try by arithmetic method also$).$