4. Consider the circuit shown. Find the following: a. Total load impedance seen by the voltage source. b. Complex power delivered by the source. C. Average power delivered by the source. d. Reactive power delivered by the source. e. Load power factor and power factor angle. 120 VRMS 60 Hz 5 -2}- 120 VRMS 60 Hz j12 5. [10 pts] The circuit from Problem 4 is redrawn with an added capacitor. What effect does adding the given capacitor have on power consumption (complex, real, and reactive), and the power factor? 185 F 5 6. [10 pts] For problem 4, derive the instantaneous power, p(t), delivered by the source. j12 7. [20 pts] We know that the root-mean-square (RMS) value of a periodic waveform is: V 20 -20 where v(t) is the time-domain expression for the waveform, and T is the period of the waveform. Use the above expression to determine the following for the waveform shown below (note that the time-scale is milliseconds): a. [10 pts] The rms value of the waveform. b. [5 pts] The average value of the waveform. C. [5 pts] The average power dissipated when this voltage is applied across a resistance of 10. 1 VRMS = 2 1 T v (t) dt 3 t 5 ms