lecture-09-14-handouts - 9/14/2011 ME-340 Tentative class...

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9/14/2011 1 ME-340 Lecture # 09 2010.09.14 Tentative class forecast Week 09/05 Material covered Ch. 2, 3 Homework due We. 09/07 Ch. 1 Reading due Fr. 09/09 Ch. 2 Week 09/12 Material covered Ch. 4 Homework due We. 09/14 Ch. 2 Reading due Fr. 09/16 Ch. 3, 4 Quiz Fr. 09/16 Ch. 1, 2 Week 09/19 Material covered Ch. 5 Homework due We. 09/21 Ch. 3, 4 Reading due Fr. 09/23 Ch. 5 Quiz We. 09/23 Ch. 3, 4 Week 09/26 Material covered Ch. 5, 6 Homework due We. 09/28 Ch. 5 Reading due Fr. 09/30 Ch. 6 Week 10/03 Material covered Ch. 6 Homework due We. 10/05 Midterm Exam Fr. 10/07, Ch. 5, 6 2 http://www.youtube.com/watch?v=YqmRKqFqiok http://www.youtube.com/watch?v=2JT9rD5VGvQ 3 Review previous class 4
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9/14/2011 2 + - (Analogy) Charged Capacitor Analysis i C i R 0 C dV c ( t ) dt V c ( t ) R 0 RC dV c ( t ) dt V c ( t ) 0 KCL at top node at t>0: i R i C Capacitor: q = CV c i c = dq/dt (current into C = rate of charge) i c = C dVc/dt First order linear DE 7 0 ) ( ) ( t V dt t dV RC c c V c ( t ) V i e t RC Solution to First-Order Differential Equation Yields: V i : initial charge on C t = RC: time constant Standard form defines time constant: t = RC t dx dt x f ( t ) Slope at Vc(0) Discharging a Capacitor V c ( t ) V i e t RC
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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-09-14-handouts - 9/14/2011 ME-340 Tentative class...

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