12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s+2) to sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s. 13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100 G) 1000. (G 1000)
12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s+2) to sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s. 13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100 G) 1000. (G 1000)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
Number 12
![8. A system with a transfer function G(s) = 10/(1+3s) has a break frequency of
A. 1/3 rad/s
B. 1 rad/s
284
C. (i) F (ii) T
D. (i) F (ii) F
C. 3 rad/s
D. 10 rad/s
9. Decide whether each of these statements is True (T) or False (F).
For a system to be stable, it must have:
i. An open-loop gain greater than 1.
ii. A phase shift between 0° and 180°.
A. (i) T (ii) T
B. (i) T (ii) F
-
INSTRUMENTATION AND CONTROL SYSTEMS
10. The phase crossover frequency of a system is the frequency at which the phase angle first reaches:
A. 180°
B. -90°
C. 0°
D. +180°
11. FREQUENCY RESPONSE
11. What are the frequency response functions for systems with transfer functions (a) 1/(s+5), (b) 7/(s + 2) and
(c) 1/[(s + 10)(s + 2)]?
12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s + 2) to
sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s.
13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100, (b) 1000/(s +1000)
and (c) 4/(s² +s+4).
Search -
14. Sketch the asymptotes for the Bode plots of systems with the transfer function (a) 10/s², (b) (s 10)/(s + 10)
and (c) s/(s² + 20s + 100).
15. Obtain the transfer functions of the systems giving the Bode gain plots in Figure 11.39.
16. The following are experimentally determined frequency response data for a system. By plotting the Bode
gain diagram, determine the transfer function of the system.
Frequency (Hz) 0.16 0.47 1.3 2.5 4.8
10.0 16.0 20.0 24.0
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F585e4a80-646c-4418-ada9-cb992a2ce44b%2Fc7cd6682-16fd-4243-b2b2-b02e88896a84%2Fzwc7jz6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. A system with a transfer function G(s) = 10/(1+3s) has a break frequency of
A. 1/3 rad/s
B. 1 rad/s
284
C. (i) F (ii) T
D. (i) F (ii) F
C. 3 rad/s
D. 10 rad/s
9. Decide whether each of these statements is True (T) or False (F).
For a system to be stable, it must have:
i. An open-loop gain greater than 1.
ii. A phase shift between 0° and 180°.
A. (i) T (ii) T
B. (i) T (ii) F
-
INSTRUMENTATION AND CONTROL SYSTEMS
10. The phase crossover frequency of a system is the frequency at which the phase angle first reaches:
A. 180°
B. -90°
C. 0°
D. +180°
11. FREQUENCY RESPONSE
11. What are the frequency response functions for systems with transfer functions (a) 1/(s+5), (b) 7/(s + 2) and
(c) 1/[(s + 10)(s + 2)]?
12. Determine the magnitude and the phase of the response of a system with transfer function 3/(s + 2) to
sinusoidal inputs of angular frequency (a) 1 rad/s and (b) 2 rad/s.
13. Sketch the asymptotes for the Bode plots of systems with the transfer functions (a) 100, (b) 1000/(s +1000)
and (c) 4/(s² +s+4).
Search -
14. Sketch the asymptotes for the Bode plots of systems with the transfer function (a) 10/s², (b) (s 10)/(s + 10)
and (c) s/(s² + 20s + 100).
15. Obtain the transfer functions of the systems giving the Bode gain plots in Figure 11.39.
16. The following are experimentally determined frequency response data for a system. By plotting the Bode
gain diagram, determine the transfer function of the system.
Frequency (Hz) 0.16 0.47 1.3 2.5 4.8
10.0 16.0 20.0 24.0
X
Expert Solution
Step
The magnitude expression is
M = √[(real part)2+(imaginory part)2]
Phase = + tan-1(imaginary/real part) for numenator or zero.
Phase = - tan-1(imaginary/real part) for dinomenator or pole
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