solution05 - 1 IN OUT OUT OUT IN OUT IN OUT OUT OUT OUT V...

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Unformatted text preview: 1/. IN OUT OUT OUT IN OUT IN OUT OUT OUT OUT V RC V RC V V CR V V iR V V V C i C i C q V C q V 1 1 1 1 1 = + ∴ − = ∴ − = = ∴ = = ∴ = & & & & & This is a first order system with τ = RC and k = 1. For first order systems in general τ τ / ) ( t e k t h − = For this particular system RC t e RC t h / 1 ) ( − = The given input signal is for t <= 0: ) ( = t V IN for 0 <= t <= 1: ) sin( 2 ) ( t t V IN π = for t>=1: ) ( = t V IN The response of the system can be obtained by convolving the system's impulse response with the given input. for t <= 0: = OUT V for 0 <= t <= 1: ( ) ( ) ( ) ( ) ( ) + − + = + − − + − = + − = = = − = − − − − − − ∫ ∫ ∫ RC t RC t RC t RC RC t t o RC RC t t o RC t t o IN OUT e t t RC RC RC RC RC t t RC e e RC RC RC e t e...
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This note was uploaded on 07/16/2009 for the course SYSC 3600 taught by Professor John bryant during the Winter '08 term at Carleton CA.

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solution05 - 1 IN OUT OUT OUT IN OUT IN OUT OUT OUT OUT V...

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