EE40_Fall08_Lecture13

EE40_Fall08_Lecture13 - EE40 Lecture 13 Connie...

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Slide 1 EE40 Fall 08 Connie Chang-Hasnain EE40 Lecture 13 Connie Chang-Hasnain 9/26/08 Reading: Chap. 4 Topics: Second order circuit transient response
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Slide 2 EE40 Fall 08 Connie Chang-Hasnain 2nd Order Circuits • We consider simple circuits with a single capacitor and a single inductor. • Any voltage or current in such a circuit results from the solution to a 2nd order differential equation. Hence such circuits are called second order circuits .
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Slide 3 EE40 Fall 08 Connie Chang-Hasnain A 2nd Order RLC Circuit R + - C v s (t ) i (t) L • Application: Filters –A bandpass filter such as the IF amp for the AM radio. –A lowpass filter with a sharper cutoff than can be obtained with an RC circuit.
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Slide 4 EE40 Fall 08 Connie Chang-Hasnain The Differential Equation KVL around the loop: v r (t) + v c (t) + v l (t) = v s (t) i (t) R + - C v s (t ) + - v c (t) + - v r (t) L + - v l (t) 1 ( ) ( ) ( ) ( ) t s di t Ri t i x dx L v t C dt -∞ + + = 2 2 ( ) ( ) 1 ( ) 1 ( ) s dv t R di t d i t i t L dt LC dt L dt + + =
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This note was uploaded on 10/24/2009 for the course EE 40 taught by Professor Chang-hasnain during the Fall '07 term at Berkeley.

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EE40_Fall08_Lecture13 - EE40 Lecture 13 Connie...

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