RMS of periodic voltage waveform (non regular waveform)

1 on the homework determine the RMS value of the waveform WITHOUT using integrals. Thats all I need to know. NO integrals, find the RMS voltage. thanks!Document Preview:HW 3 Prodanov, EE 212, Winter 2011 Assigned: Fri, Jan. 7 Due: Fri, Jan. 14 Calculating RMS without Explicit Integration Problem 1: Consider the periodic voltage waveform shown in Figure 1. 1. Determine the RMS value of this waveform without evaluating integrals. Explain how you got your result. 2. If the depicted waveform is the voltage across a 10O resistor, what is the value of the average power Pavg delivered to this resistor? (Clue: Flip the sign of the negative-going portion of this waveform. Can you apply RSS of RMS?) Problem 2: Calculate the RMS value of the following current waveform: (Clue: RMS of sum of orthogonal functions is RSS of individual RMS, which terms are orthogonal and why?) Real Power P[W]and Reactive Power Q[VAR] Problem 3: When a sinusoidal voltage with magnitude of 10V is applied to a Z, the impedance draws sinusoidal current with magnitude of 2A. The voltage waveform leads the current waveform by ?? of a period. 1. What is the type of the load? (resistive, capacitive, inductive, other) 2. What is the type & magnitude of power being drawn? 3. What is the type, the magnitude of the load impedance? (Clue: 1 Period = 360o, ?? Period = ?) Attachments: HW3.pdf

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