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HW9_BME153_S09 - (b Chapter 5 Problem 71 ±or this problem...

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BME 153L - Spring 2009 Homework 9: More Transient Analysis; Introduction to Amplifiers Introduction The problems for this assignment focus on further investigating the responses of reactive circuits, including the transient response of RLC circuits. It also begins to look at amplifiers. Assignment Remember, each Part needs to be turned in separately, so when you turn in this particular assignment you should have four things to turn in, each stapled and with your name and NET ID clearly identified on at least the first page and at best each page. If you choose (or are required) to use a computational tool, be sure to put your name, the name of the assignment, and the date at the top of the worksheet or script and turn the script in with your homework. Part I: (a) Chapter 5, Problem 70. While you are not given a specific output, the damping ratio in this case is independent of the voltage or current you choose to measure. (b) Chapter 5, Problem 71. For this problem, note that for a second-order circuit with a constant
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Unformatted text preview: (b) Chapter 5, Problem 71. ±or this problem, note that for a second-order circuit with a constant forcing function K : d 2 y dt 2 + 2 ζω n dy dt + ω 2 n y = Kω n with ζ > 0 the following calculation applies: lim t →∞ y ( t ) = K ±urthermore, if the system is underdamped , that is, if 0 < ζ < 1, a = ζω n , ω d = ω n r 1-ζ 2 , and y ( t ) = K p 1-e-at p cos( ω d t ) + a ω d sin( ω d t ) PP , t > and there is no energy stored initially, the peak time and value at that time can be given by: t peak = π ω n r 1-ζ 2 = π ω d y ( t peak ) = K (1 + e-at peak ) = K p 1 + e-πζ √ 1-ζ 2 P Part II: (a) Chapter 5, Problem 73. (b) Chapter 5, Problem 74. Part III: (a) Chapter 8, Problem 1. (b) Chapter 8, Problem 5. (c) Chapter 8, Problem 7. Part IV: (a) Chapter 8, Problem 10. (b) Chapter 8, Problem 13. Copyright 2009, Gustafson Hwk 9 – 1...
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