lecture-09-23-handouts - 9/22/2011 1 ME-340 Circuits...

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Unformatted text preview: 9/22/2011 1 ME-340 Circuits & Mechatronics Lecture # 13 2010.09.23 Reminder: Next quiz and review session Quiz: Fr 9/30 in class, Ch. 3, 4 Review session: Tu 09/27, 6-7:30pm, class WEL 3.502, Chapters 3, 4 2 New Chapter Reading Homework (Due Fr. 09/30 in class) Read chapter 6 Summarize each chapter in 10 lines Return it in class 3 Reminder Problem Homework (Due We 9/28 in class) Hambley 5 th edition, Chapters 4, Problems (6): RC: 4.6, 4.11 DC steady state: 4.26 RL: 4.34 General sources: 4.47 2 nd order ODE: 4.64 Hambley 5 th edition, Chapters 5, Problems (3): RMS: 5.13 Phasors: 5.29 Complex impedances: 5.37 4 9/22/2011 2 Due Chapter Reading Homework Read chapter 5 Summarize each chapter in 10 lines Return it in class 5 Video 6 https://www.youtube.com/watch?v=W8CFQLtHIAQ&featu re=player_embedded Today 7 Schedule 8 9/22/2011 3 Steady-State Sinusoidal Analysis* 1. Sinusoidal Voltages and Currents 2. Phasors 3. Complex Impedance 4. Circuit Analysis with Phasors and Complex Impedance *Hambley Chapter 5 Sinusoidal Analysis Motivation Frequency Response (Core Chapter 5) 10 Magnetic Spectrum FCC Utilization 11 Sinusoidal Voltage (Hertz) frequency 2 1 T 2 period (degrees) angle phase ) (rad./sec. frequency angular ge peak volta T f T Vm ) cos( ) ( t V t v m WHERE (amplitude) 9/22/2011 4 Sinusoidal Voltage 60 200 10 , ) 60 200 cos( 10 90 30 200 cos 10 ), 90- cos(z sin(z) : using 30 200 sin 10- , , Vm thus t (t) v ) t ( (t) v ) t ( (t) v x x x Sinusoids: reference is cosine EXAMPLE: Average Power in Sinusoidal System R ) ( 1 ) ( 1 ) ( 1 ) ( E : period one in delivered Energy ) ( ) ( ) ( ) ( : R resistance to by v(t) delivered Power 2 2 2 T 2 T T T T T dt t v T dt R t v T Pavg dt t p T T E Pavg dt t p R t v t i t v t p Root Mean Square (RMS) and Average Power R I P dt t i T I R V P dt t v T V rms avg T rms rms avg T rms 2 2 2 2 ) ( 1 ) ( 1 Voltage Current Definition: Equivalent average AC/DC heating of resistor, over single period P AC , avg I o 2 R 2 I o 2 2...
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This note was uploaded on 02/07/2012 for the course M E 340 taught by Professor Staff during the Spring '08 term at University of Texas at Austin.

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lecture-09-23-handouts - 9/22/2011 1 ME-340 Circuits...

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