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Homework 11

# Homework 11 - MEEN 260 Introduction to Engineering...

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MEEN 260 Introduction to Engineering Experimentation Homework 11: Passive and Active Filters Assigned: Thursday, 16 Apr. 2008 Due: Thursday, 23 Apr. 2008, 5:00 pm Learning Objectives: After completing this homework assignment, you should be able to: 1) Determine the transfer function or frequency response of a filter circuit using equivalent impedance 2) Identify different filter types (low-pass, band-pass, etc.) 3) Design passive/active filter circuits Homework Problems: Problem 1) Passive Filter Circuits For the filter circuits shown: a) Derive the frequency response ( ) ( ) j ω V j ω V in out . b) Determine expressions for the magnitude and phase spectrum, and sketch them (by hand or using Excel, Matlab, etc.). c) Identify the filter type. d) Determine the frequency where the maximum magnitude occurs, in terms of R, L, and C. e) Given a R L =2 k , C=2 μ F ,R= 1 k and L=1 H, determine the bandwidth of the filter where ( ) ( ) dB 3 c in c out j ω V j ω V f) Determine V 0 (t) for V in (t) = 5cos(200 π t- π /4) + 2sin(500 π t+ π /3)

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Homework 11 - MEEN 260 Introduction to Engineering...

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