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ps2 - 2.14/2.140 Problem Set 2 Assigned Thurs Feb 15 2007...

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Assigned: Thurs. Feb. 15, 2007 Due: Thurs. Feb. 22, 2007, in class Reading: Nise 2.1–2.4; Notes from course web page: Circuits; Op-amps; Frequency response Reading for 2.140 students: Subtleties of the Laplace Transform, from course web page. The following problems are assigned to both 2.14 and 2.140 students. Problem 1 This problem reconsiders the circuit from last week, shown below a) Make a carefully-dimensioned sketch of the Bode plot for the transfer function V o ( s ) /V i ( s ) which you calculated last week, for the same values R 1 = 3 k Ω, R 2 = 12 k Ω, and C = 10 µ F. Do not use Matlab to plot this response; you need to be able to work out such simple cases by hand! Problem 2 This problem reconsiders the circuit shown below a) Make a carefully-dimensioned sketch of the Bode plot for the transfer function V o ( s ) /V i ( s ) which you calculated last week, for the same values L = 0 . 01 H and the remaining parameters of the circuit such that ω n = 10 5 and ζ = 0 . 05. Do not use Matlab to plot this response; you need to be able to work out such simple cases by hand!
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