EE40_Fall08_Lecture10

EE40_Fall08_Lecture10 - EE40 Lecture 10 Connie...

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Slide 1 EE40 Fall 08 Connie Chang-Hasnain EE40 Lecture 10 Connie Chang-Hasnain 9/19/08 Reading: Chap. 4 Topics: First order circuit transient response
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Slide 2 EE40 Fall 08 Connie Chang-Hasnain Natural Response Summary RL Circuit • Inductor current cannot change instantaneously • In steady state, an inductor behaves like a short circuit. RC Circuit Capacitor voltage cannot change instantaneously In steady state, a capacitor behaves like an open circuit R i L + v R C
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Slide 3 EE40 Fall 08 Connie Chang-Hasnain First Order Circuits ( ) ( ) ( ) c c s dv t RC v t v t dt + = KVL around the loop: v r (t) + v c (t) = v s (t) ) ( ) ( 1 ) ( t i dx x v L R t v s t = + - KCL at the node: ( ) ( ) ( ) L L s di t L i t i t R dt + = R + - C v s (t ) + - v c (t) + - v r (t) i c (t) v L (t) i s (t ) R L + - i L (t)
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Slide 4 EE40 Fall 08 Connie Chang-Hasnain Procedure for Finding Transient Response 1. Identify the variable of interest For RL circuits, it is usually the inductor current
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EE40_Fall08_Lecture10 - EE40 Lecture 10 Connie...

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