Number 6 w G | |S|Ss/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdfCD Page view A Read aloud$ D meB. Less than 1C. 1PROBLEMSdh P8dt RA +O Search5. Decide whether each of these statements is True (T) or False (F).For a hydraulic system model, the input rate of flow q is related to the output of the liquid level h in acontainer by the differential equation:dedt2 dt19²0TAdd textWhen there is a step input to the system:i. The steady-state gain will be 1.ii. The time constant for the system will be A.A. (i) T (ii) TB. (i) T (ii) FC. (i) F (ii) TD. (i) F (ii) F6. For a rotational system, the output is related to the input T by the differential equation:+Fch=q+k0= TPUS4Drawa 2Clow toGFor the system to be critically damped, we must have:A. c = IB. c=kC. c = klD. 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. ZeroHighlightD. More than 18. 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 isthe 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. Whatwill 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.Water207XV

6. For a rotational system, the output is related to the input T by the differential equation: d²e dt² de + cat + k0=T For the system to be critically damped, we must have: A. c = 1 B. c=k C. c= kl D. c = 2/(kl) VICE

6. For a rotational system, the output is related to the input T by the differential equation: d²e dt² de + cat + k0=T For the system to be critically damped, we must have: A. c = 1 B. c=k C. c= kl D. c = 2/(kl) VICE

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.30P: Reconsider Problem 3.29. If Va,VbandVc are a negative-sequence set, how would the voltage and...

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Question

Number 6

w G | |S|S
s/instrumentation-and-control-systems-3nbsped-0128234717-9780128234716_compress.pdf
CD Page view A Read aloud
$ D me
B. Less than 1
C. 1
PROBLEMS
dh P8
dt R
A +
O Search
5. Decide whether each of these statements is True (T) or False (F).
For a hydraulic system model, the input rate of flow q is related to the output of the liquid level h in a
container by the differential equation:
de
dt2 dt
19²0
TAdd text
When there is a step input to the system:
i. The steady-state gain will be 1.
ii. The time constant for the system will be A.
A. (i) T (ii) T
B. (i) T (ii) F
C. (i) F (ii) T
D. (i) F (ii) F
6. For a rotational system, the output is related to the input T by the differential equation:
+
Fc
h=q
+k0= T
PUS
4
Draw
a 2
Clow to
G
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
Highlight
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.
Water
207
X
V

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