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Unformatted text preview: 9/26/2011 1 ME-340 Circuits & Mechatronics Lecture # 14 2010.09.26 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 Reminder 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 9/26/2011 2 Video 5 http://www.youtube.com/watch?v=ob14QKIDdsM&feature=related Schedule 6 Phasors (Rotating Vectors) v ( t ) V m cos( t ) Re[ V m cos( t ) jV m sin( t )] Re[ V m e j ( t ) ] Re[ V m e j e j t ] V m v(t) = Projection of Rotating Phasor onto Real Axis Phasor Rotates Around Origin @ Angular Frequency = Phase of Vector Comment : e j t implicit Comment : like clock second hand, phasor of fixed length V m rotates @ velocity . Angle = initial position in complex plane. V m (Phasor notation) j m m e V V V Phasors v 1 ( t ) V 1 cos( t 1 ) In phasor notation, V 1 V 1 1 v 2 ( t ) V 2 sin( t 2 ) In phasor notation, V 2 V 2 2 90 Phasor Is Rotating Vector 1 V 1 Re Im Comment : plot vectors V 1 1 & V 2 2 in complex plane, then rotate @ velocity Comment : Both phasors have fixed lengths & rotate @ velocity...
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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.
- Spring '08