A 500-kVA, 2300/230-V, 60-Hz, step-down, two-winding transformer has the following parameters RH = 1.2 Ohm, XH = 3 Ohm,

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A 500-kVA, 2300/230-V, 60-Hz, step-down, two-winding transformer
has the following parameters RH = 1.2 Ohm, XH = 3 Ohm, RL = 12 mR,
XL = 30 mR, RcH = 2 kOhm, XmH = 1.8 kOhm. If the transformer
operates at half load at its rated terminal voltage with a 0.75
lagging power factor,
a) Find the supply voltage and power factor
b) Draw the power triangle as seen from the supply
c) find the transformer efficiency
d) Draw the complete phasor diagram