EE233 Summer 2015 Department of Electrical Engineering University of Washington EE233 Homework 4 July 11, 2015 Due Date: July 20, 2015 HW4 Topics: • Average Power • Power Factor • Maximum Power Transfer • Complex Power • RMS power and current HW4 References: • Textbook section 10.1 − 10.6 1. (Average Power) Find the average power absorbed by each resistor and each source. Hint: The circuit is in steady state, use superposition to solve this problem. + 100V − 1kΩ 1µF 1kΩ 0.2 cos 2000tA 2. (Power Factor) Find the power factor. (a) A load consisting of a series connection of a 50Ω resistor and a 10µF capacitor operating at 60Hz. 10µF 50Ω (b) A load that is capacitive and requires 40A RMS and 8kW at 220V RMS. 3. (Complex Power) Use the method of Complex Power to compute the power factor if the load is one consisting of 5kW load at a power factor of 0.85 leading connected in parallel with a 10kW load at a power factor of 0.95 lagging. EE233 Summer 2015 Department of Electrical Engineering University of Washington I1 Z1 I2 Z2 4. (Average Power) Find the average power, reactive power, complex power, and apparent power absorbed by the load (resistor and capacitor in series) if ig(t) = 50 cos 2000t mA. ig 2mH 20nF 5kΩ 5. (Maximum Power) Let vg(t) = 100 cos (4000t) V. vg 8mH 40Ω 5µF ZL b a (a) Compute the Thevenin equivalent circuit of terminals a − b. (b) If we want to have maximum power, what is the load ZL. (c) Compute the maximum average power delivered to the load. Page 2
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