s14_ps09_fall03

# s14_ps09_fall03 - Uniﬁed Engineering I Fall 2003 Problem...

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Unformatted text preview: Uniﬁed Engineering I Fall 2003 Problem S14 (Signals and Systems) Consider the RLC circuit of Problem S13, shown below: L1 + u(t) + C2 – R3 y(t) – 1. Find the transfer function, G(s), of the system, using G(s) = C (sI − A)−1 B + D (1) 2. Find the transfer function using impedance methods. Show that your result agrees with the result in part (1). 3. For component values L1 = 1 H, C2 = 0.25 F, R3 = 10 Ω plot the magnitude of the transfer function G(jω ) vs. ω . Explain why the ﬁlter is called a notch ﬁlter. Note: You may ﬁnd it useful to use Matlab or a spreadsheet to calculate values of the transfer function, since there is a fair amount of complex arithmetic. ...
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## This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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