solution05

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

## 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.

### Page1 / 5

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online