Q$6.$ A three$-$phase $415$V$,50$Hz supply is connected to a factory which has a star $($Y$)$ connected motor,

requiring $10$kVA per phase at a p$.$f of $0\mathrm{.}8($lag$),$ and a heating load Y$-$connected, requiring $7$kW per

phase.

a$)$ Calculate the total per phase current supplied to the factory.

b$)$ Calculate the capacitance per phase of the star connected capacitor bank necessary to

obtain unity p$.$f of the combined load.

c$)$ Calculate the new total current per phase supplied to the factory at unity p$.$f