A $50$ kW delta$-$connected load with a lagging power factor of $0,85$ is supplied by a three$-$phase star$-$

connected alternator having a line output of $380$ V $50$ Hz$.$ Calculate the phase currents for the load and the

alternator. Determine the new line current of the motor, if the supply frequency is changed to $60$ Hz$.$

Hint: First calculate the inductance $($L$)$ of the motor at $50$ Hz and then the inductive reactance of the motor

at $60$ Hz$.$