Q4. A three-phase star-connected ABC supply system has a 440Vrms line voltage with a 50 Hz frequency. A star-connected load combination of apparent power S = Sb = S = 500VA and a power factor of lagging is connected to this supply. Assume that the neutral points of both the supply system and load are connected to each other. Then:
(a) Find the per-phase impedance of the load and use them to draw the circuit diagram of this system, representing all the phase voltage sources and phase impedances. [12M].
(b) Find the phase-wise currents of the load. [6M].
(c) Find the current flowing through the neutral wire. [2M].
(d) Draw the phasor diagram of this system, indicating phase voltages, line voltages, and all the currents. [10M].
For reference, take the phase-to-neutral voltage of a phase and mention all the phasors clearly with relevant angles in degrees with respect to the reference. Please indicate all the values in polar form for uniformity.