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11. Derive a differential equation relating the input and output for each of the systems shown in Figure 8.27.

11. Derive a differential equation relating the input and output for each of the systems shown in Figure 8.27.

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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T↳ cme CK 2|wv|GV|an|StS SON s/nahom/Downloads/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdf E FCHY DX B S - + CD Page view B. Less than 1 C. 1 (3) D. (i) F (ii) F 6. For a rotational system, the output is related to the input T by the differential equation: Ouput y K₁ www M A Read aloud Add text K₂ w Input 77 X (A) Search For the system to be critically damped, we must have: A. c = I B. c = k C. c = kl D. c = 2√√/(kl) 7. For a system which can be represented by a second-order differential equation relating its input and output, for a step input to give an output which rises to the steady-state value with no oscillations about the steady- state value and take the minimum amount of time, the damping constant has to be: A. Zero FIGURE 8.27 Problem 11. D. More than 1 8. If a system has a gain of 5, what will be the output for an input voltage of 2 V? 9. An open-loop system consists of three elements in series, the elements having gains of 2, 5 and 10. What is the overall gain of the system? 10. A closed-loop control system has a forward loop with a gain of 6 and a feedback loop with a gain of 2. What will be the overall steady-state gain of the system if the feedback is (a) positive, (b) negative? 11. Derive a differential equation relating the input and output for each of the systems shown in Figure 8.27. I d²0 dt² C Input T (B) V +C (C) de dt Hom Output 0 + k0 = T k LDIG Output Draw 0 Flow rate 9 V Lagged water heater (D) Highlight Water density p specific heat capacity c Temperature 0 Temperature 00 риу Power input p 0 % PUE ca by Era
Transcribed Image Text:T↳ cme CK 2|wv|GV|an|StS SON s/nahom/Downloads/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdf E FCHY DX B S - + CD Page view B. Less than 1 C. 1 (3) D. (i) F (ii) F 6. For a rotational system, the output is related to the input T by the differential equation: Ouput y K₁ www M A Read aloud Add text K₂ w Input 77 X (A) Search For the system to be critically damped, we must have: A. c = I B. c = k C. c = kl D. c = 2√√/(kl) 7. For a system which can be represented by a second-order differential equation relating its input and output, for a step input to give an output which rises to the steady-state value with no oscillations about the steady- state value and take the minimum amount of time, the damping constant has to be: A. Zero FIGURE 8.27 Problem 11. D. More than 1 8. If a system has a gain of 5, what will be the output for an input voltage of 2 V? 9. An open-loop system consists of three elements in series, the elements having gains of 2, 5 and 10. What is the overall gain of the system? 10. A closed-loop control system has a forward loop with a gain of 6 and a feedback loop with a gain of 2. What will be the overall steady-state gain of the system if the feedback is (a) positive, (b) negative? 11. Derive a differential equation relating the input and output for each of the systems shown in Figure 8.27. I d²0 dt² C Input T (B) V +C (C) de dt Hom Output 0 + k0 = T k LDIG Output Draw 0 Flow rate 9 V Lagged water heater (D) Highlight Water density p specific heat capacity c Temperature 0 Temperature 00 риу Power input p 0 % PUE ca by Era
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