13 [9] At a moment in time, a domestic installation supplied with 230 Vrms, is used to power a 3600 W electric hot water system and an airconditioner unit that has an induction motor with R = 10 ohm and inductance L = 0.1 H part a! load reactance Z i/ draw the parallel circuit attached to the 230 Vrms iif determine the motor impedance Z, in both rectangular and polar format iii/ using parallel circuit theory, determine the equivalent impedance seen by the supply. Answer 12.7 2 21.5 () part b/ supply voltage i/ write the sinusoidal equation that describes the 230 Vrms 50 Hz supply ii/ graph the equationiii! what is the voltage phaser value {magnitude and angle} at t = {1.0 seconds and t = 13 ms iv! at what instant in time will the veltage be at its positive (+ve) maximum value? Answer: tl'} = 0.05 s = 5 ms part c)" load current the voltage phaser at 8 ms is Hit] = 191L144 V and reactance Z was determined in part a} Dhms law for AC is E = i2 Determine the lead current as a complex number for this instant Answer: = 1.32 + i5.5 Amps