Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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100%
Im{s}
100
-500 - 500i V3
500
-Wo
Re(s)
-1500
-1000
-500
-500
-500 + 500i v3
(a) Find H(s) for this LPF.
(b) Find wo and 7 of H(s) in part (a) .
(c) We want to find the H(s) of the following active filter by applying Nodal analysis at node 1.
R
ww
Vx
V
C =
Write down 2 equations in terms of Vi, Vo and Vx so that H(s) can be determined. Do not solve for H(s) '
(d) The H(s) of part (c) is: R² C¡ C, s² +2R C, s + 1 • Which is a 2nd-order LPF. If C1 is fixed at lµF, design C2 and R so that wo =
1000 rad/s, and 5 = 0.5. (hint: compare H(s) to its canonical form:
g? +2 w, 5 s + w,²
Transcribed Image Text:Im{s} 100 -500 - 500i V3 500 -Wo Re(s) -1500 -1000 -500 -500 -500 + 500i v3 (a) Find H(s) for this LPF. (b) Find wo and 7 of H(s) in part (a) . (c) We want to find the H(s) of the following active filter by applying Nodal analysis at node 1. R ww Vx V C = Write down 2 equations in terms of Vi, Vo and Vx so that H(s) can be determined. Do not solve for H(s) ' (d) The H(s) of part (c) is: R² C¡ C, s² +2R C, s + 1 • Which is a 2nd-order LPF. If C1 is fixed at lµF, design C2 and R so that wo = 1000 rad/s, and 5 = 0.5. (hint: compare H(s) to its canonical form: g? +2 w, 5 s + w,²
Design of 2nd-order LPF
The poles of a normalized second-order LPF ([H(w = 0)| = 1) is shown on the complex plane below:
%3D
Transcribed Image Text:Design of 2nd-order LPF The poles of a normalized second-order LPF ([H(w = 0)| = 1) is shown on the complex plane below: %3D
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