# HW6 - ECE 2100 Spring 2010 Homework assignment 6 Due May 8,...

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ECE 2100 Spring 2010 Homework assignment 6 Due May 8, 2010 Covered: Chapters 11-13: Laplace transforms, impulse functions, partial fractions, transfer functions, initial, final value theorems, poles/zeros, passive filters, active filters, Bode plots. 1. Prelab: Considering the following RLC filter circuits. a) Derive a voltage transfer function H(j ϖ )=Vout/Vin for each circuit. b) For the circuit on the left (parallel RLC) add a series resistance for the inductor of 2.3 and derive the voltage transfer function H(j ϖ ) including the effects of the inductor series resistance. Why is this less important for the circuit on the right? c) Plot on an expanded linear frequency scale (about resonance) the magnitude of the voltage transfer function [|H(j ϖ )|] in decibels of the parallel (left) circuit with and without the inductor series resistance. What is its effect here? On these plots illustrate the circuit's bandwidth and resonant frequency. d) Plot with a normal Bode magnitude presentation the voltage transfer function magnitude of each circuit (one set of axes) and compare their response. Name each circuit! The frequency range should be from 100 to 10 5 Hz. 2) Prelab: consider the active RC filter shown. a) Derive the transfer function H(j

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## This note was uploaded on 11/21/2011 for the course ECE 2100 taught by Professor Kelley/seyler during the Fall '05 term at Cornell University (Engineering School).

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HW6 - ECE 2100 Spring 2010 Homework assignment 6 Due May 8,...

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