An industrial firm has two electrical loads connected in parallel across the power source. Power is supplied to the firm at 4000 V rms. One load is 30 kW of heating use (resistive), and the other load is a set of motors that together operate as a load at 0.6 lagging power factor and at an apparent power of 150 kVA. a) Calculate the complex power S used by the motors. b) Calculate the total complex power S,used by the plant (rectangular and polar.) c) Determine the plant power factor and state whether it is leading or lagging. d) Calculate the RMS current required by the plant.