ExampleProb2

ExampleProb2 - Example Symbolic Solution (B2.1) Another...

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©B obY o rk Back to TOC Example Symbolic Solution (B2.1) V out t = 0 V 0 R 1 R 2 L C 2 2 (0 ) () 11 C out sv Vs ss R CL C  2 0 12 (0 ) C R vV R R 2 22 1 p R CR C L C     2 1 2 L R C poles: Under-damped case: (0 ) (0) C out C s v s    2 1 R C R C  (0 ) cos s in t out C Vt v e t t      () 2 ( ) t out k e t k  (0 ) 1 2 C v kj  Critically-damped case: 2 1 2 L R C 2 (0) out out sV s   (0 ) 1 t out out V e t Over-damped case: 2 1 2 L R C (0) ( ) out out s psp ) p tp t out out pe V pp Another example. Let’s analyze symbolically to illustrate the role of the component values in shaping the response: s-domain response Initical capacitor voltage: p j  Complex-conjugate poles: Alternate form: Repeated roots: Real (simple) roots:
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©B obY o rk Back to TOC Illustrative Responses (B2.1) 13 V out 1 t = 0 1 F 2 4 5 V 1 H 5 Under-damped 11 0 22 L C 1 () cos3 s in3 3 t out
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This note was uploaded on 03/17/2010 for the course ECE 2B taught by Professor York during the Winter '07 term at UCSB.

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ExampleProb2 - Example Symbolic Solution (B2.1) Another...

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