Frequency Response Worksheet

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EGR 261
Due date: ______________________
Signals and Systems
N261H6
Homework Assignment #6 – Frequency Response
Reading Assignment:
th
Read the following sections in Electric Circuits, 9
Edition by Nilsson:
Chapter 14, Chapter 15 (Sect. 1-2), Appendix D (The Decibel), and Appendix E (Bode Diagrams)
Section 14.9 in Linear Signals & Systems, 2nd Ed. by Lathi
Problem Assignment:
1)
Work the following Ch. 14 problems: 3, 4(a-b only), 7, 10(a-b only), 19, 22, 25
Work the following Ch. 15 problems: 2, 3, 22, 24
Note: Use R = 1 k for 14.7E
2)
Plot the Bode LM plots for the transfer functions below with to the following specifications:
use 4 cycle semi-log graph paper (available from instructor’s web page)
label all levels in dB and all slopes in dB/decade
500(s
+
200)
500,000
G
(s)
=
G
(s)
=
1
2
(s
+
4,000)
(s
+
200)(s
+
1000)
50(s
+
2,000)(s
+
5,000)
5,000(s)(s
+
800)
G
(s)
=
G
(s)
=
3
4
(s
+
10,000)(s
+
80,000)
(s
+
200)(s
+
4,000)
2
0.5(s
+
20)
(s
+
500)
G
(s)
=
5
s(s
+
100)
3)
Plot the Bode phase plot for G
(s) and G
(s) above with the following specifications:
1
2
use 4 cycle semi-log graph paper
label all levels in degrees and all slopes in degrees/decade
4)
Plot the exact LM and phase plots for G
(s) and G
(s) using MATLAB, Excel, or some other graphing
1
2
software. Include a printout of both the graph and the spreadsheet, equations, etc., used to produce the
graph. Compare the graphs to the Bode plots generated for G
(s) and G
(s) in problems 2 and 3.
1
2
5)
For the circuit shown below, H(s) = V
(s)/V
(s) is the transfer function of a bandpass filter with a center
2
1
frequency of w
= 50 rad/s. Use impedance and frequency scaling on the circuit such
that w
=
o
o
20,000 rad/s if
a) C = 1F b) L = 1 mH c) R = 1 k
Draw the scaled circuit with all component values labeled in each case.
0.4 H
1 mF
+
+
V
(s)
4
V
(s)
1
_
2
_
1

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