HW5_ece220_2007 - Homework 5(ECE220 Fall 2007 • Due Thursday October 18 at the beginning of lecture • Reasoning and work must be shown to gain

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Unformatted text preview: Homework 5 (ECE220 - Fall 2007) • Due: Thursday, October 18 at the beginning of lecture. • Reasoning and work must be shown to gain full/partial credit. • WRITE YOUR NAME AND NET ID ON ALL PAGES HANDED IN! 1. (50 points) RC Filter Consider the following resistor-capacitor filter: Let the source voltage V S ( t ) be the input of the system x ( t ) (Equation 1). Let the voltage across the capacitor V C ( t ) be the output of the system y ( t ) (Equation 2). The voltage across the resistor V R ( t ) is related the the current through it i R ( t ) by the Equation 3, while the voltage across the capacitor is related by Equation 4. Via Kirchoff’s Laws we can see that the resistor current must equal the capacitor current (Equation 5). and the source voltage must equal the sum of the capacitor and resistor voltages (Equation 6). V S ( t ) = x ( t ) (1) V C ( t ) = y ( t ) (2) V R ( t ) = i R ( t ) R (3) C dV C ( t ) dt = i C ( t ) (4) i R ( t ) = i C ( t ) (5) V S ( t ) = V R ( t ) + V...
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This note was uploaded on 05/31/2008 for the course ECE 2200 taught by Professor Johnson during the Fall '05 term at Cornell University (Engineering School).

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HW5_ece220_2007 - Homework 5(ECE220 Fall 2007 • Due Thursday October 18 at the beginning of lecture • Reasoning and work must be shown to gain

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