# ps14 - H ω = Y X Compute the magnitude | H ω | and the...

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ECEN 2250 Circuits/Electronics 1 Fall 2007 12-05-07 P. Mathys Problem Set 14 (Solutions are due Wed. 12-12-07) 1) Problem 8-14 in the book. 2) Problem 8-36 in the book. 3) Problem 8-52 in the book. 4) Consider the following blockdiagram of a ﬁrst order linear system with phasor input X and phasor output Y . + ± a 1 b 0 X Y + - (a) Determine Y as a function of X . (b) Use part (a) to determine the diﬀerential equation that relates the output y ( t ) to the input x ( t ). (c) Deﬁne the frequency response of the system as
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Unformatted text preview: H ( ω ) = Y / X . Compute the magnitude | H ( ω ) | and the phase ∠ H ( ω ) for ω = a 1 / 10 , a 1 / √ 3 , a 1 , √ 3 a 1 , 10 a 1 . Sketch and label the magnitude and the phase of the frequency response for a 1 / 10 ≤ ω ≤ 10 a 1 . Is this a lowpass or a highpass ﬁlter? c ± 2001–2007, P. Mathys. Last revised: 12-06-07, PM. 1...
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## This homework help was uploaded on 03/30/2008 for the course ECEN 2250 taught by Professor Mathys during the Spring '07 term at Colorado.

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