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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)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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
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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