2009-08-26 Homework 1

2009-08-26 Homework 1 - 18-418: Electric Energy Processing:...

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18-418: Electric Energy Processing: Fundamentals and Applications Fall Semester, 2009 Homework # 1 Due in the class on September 8th Problem (1) Calculate the current flow in the circuit shown in Fig. 1-1, analyze the solution. P L =6 watt Fig 1-1 Problem (2) Consider a RLC circuit shown in Figure 1-2, the circuit parameters are R = 2Ω and L=2mH. V 1 V 2 Figure 1-2 Given 1 1 2 2 20sin( ) and 20sin( ) v t v t   a) For 60 * * 2 1 1 , compute the voltage across inductor v o (t) in steady state. b) Compute the losses in resistances. c) Compute v o (t) and losses for 12 2* *50 and 2* *60 . Assume zero initial conditions. Problem (3) The voltage v(t)= 311.13cos( ωt ) is applied to a load consisting of a 10 Ω resistance in parallel with an inductive reactance X L = ω L= 3.77 Ω. a) Calculate the instantaneous power absorbed by the resistor and the inductor. b) Calculate the real and reactive power absorbed by the load, and the load power
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This note was uploaded on 09/20/2010 for the course ECE 18418 taught by Professor Illic during the Fall '09 term at Carnegie Mellon.

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2009-08-26 Homework 1 - 18-418: Electric Energy Processing:...

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