ECE 231 HW-10

# ECE 231 HW-10 - t 7sin(400 t Amperes i(t is flowing through...

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ECE-231 Circuits and Systems I Spring 2011 HW Set #10 Professor Stewart Personick ECEC-321 [email protected]

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Instructions Send your solution set, via E-mail, to: The “subject” of your E-mail must be : ECE 231 HW#10 (your last name) Your solution set must be in the form of an attachment. I.e. a Microsoft Office file (.doc, .docx, .xls, .xlsx, .ppt, .pptx) or a legible scan of a handwritten file. Your solution set must be sent to me by the deadline: Sunday, April 3, 8 p.m.
Problem 1 + - Vs(t) =Vs e j120 π t Vs= 170 Volts a b i1(t) = Λ 1 x e j120 π t Amperes ; where Λ 1 = C e jD Vbc(t) = Γ x e j120 π t Volts; where Γ = E e jF Solve for the ordinary numbers: C, D, E, and F; in decimal notation, to 2 significant digits of accuracy. L = 0.265H R=100 c C = 0.0000265F i1(t) i2(t )

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Problem 2 i(t) = 4 + 3cos(200
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Unformatted text preview: t) - 7sin(400 t) Amperes i(t) is flowing through: a 10 Ohm resistor in series with a 1 Henry ideal inductor What is the average power being dissipated (as heat) in the resistor? I.e. what is the average value of: {the current flowing through the resistor x the voltage across the resistor}? What is the average value of the power being dissipated (as heat) in the inductor? I.e. what is the average value of: {the current flowing through the inductor x the voltage across the inductor}? Prove your answer, mathematically Problem 3 ~ vs(t ) + Rs =800 Ohms Vs(t) is the periodic waveform shown below. Two (2) complete cycles are shown. What is the average power flowing into the resistor t T/2 T/2 T/2 T/2-10 Volts 10 Volts vs(t ) 0 Volts...
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ECE 231 HW-10 - t 7sin(400 t Amperes i(t is flowing through...

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