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Automatic Control Systems
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Question
Consider the systems with following open loop transfer functions
If unity feedback is used, the increasing order of time taken for unit step response to settle is
Options
A. 1, 2, 3
B. 3, 1, 2
C. 2, 3, 1
D. 3, 2, 1
Correct Answer
2, 3, 1
Explanation
. For the three systems the values of ??
n
are 1.8, 2.5 and 2 respectively.
Hence values of
T
are 0.55, 0.4 and 0.5 respectively.
Automatic Control Systems problems
Search Results
1. First column elements of Routh's tabulation are 3, 5,
, 2. It means that there
Options
A. is one root in left half
s
plane
B. are two roots in left half
s
plane
C. are two roots in right half
s
plane
D. is one root in right half
s
plane
Show Answer
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Discuss
Correct Answer: are two roots in right half
s
plane
Explanation:
Since there are two sign changes in the first column, hence two roots in right half plane.
2. For the control system in the given figure, the value of K for critical damping is
Options
A. 1
B. 5.125
C. 6.831
D. 10
Show Answer
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Discuss
Correct Answer: 5.125
Explanation:
since ? = 1, ?
n
= 3.5 Hence 2 + 2k = 3.5
2
= 12.25 or K = 5.125 .
3. In the given figure, the input frequency is such that R = X
C
. Then
Options
A.
v
0
lags
v
i
by 45°
B.
v
0
lags
v
i
by 90°
C.
v
0
leads
v
i
by 45°
D.
v
0
leads
v
i
by 90°
Show Answer
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Discuss
Correct Answer:
v
0
lags
v
i
by 45°
Explanation:
R = X
C
, voltage drops across R and X
C
are equal and at 90° with respect by each other. V
0
lags V
i
by 45°.
4. For the circuit in the given figure, V
2
(
s
)/V
1
(
s
) =
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
Explanation:
.
5. For the given figure C(
s
)/R(
s
)
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
Explanation:
.
6. When a unit step voltage drives a lag network the output
Options
A. remains constant at unit step value
B. increases exponentially from zero to final value
C. decreases exponentially from 1 to 0
D. either (b) of (c) depending on values of R and C
Show Answer
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Discuss
Correct Answer: increases exponentially from zero to final value
Explanation:
At
t
= 0 the capacitor behaves as a short-circuit and output voltage is 0. At
t
= ? capacitor behaves as an open-circuit and V
0
= V
i
.
7. In a minimum phase system
Options
A. all poles lie in the left half plane
B. all zeros lie in the left half plane
C. all poles lie in the right half plane
D. all except one pole or zero lie in the left half plane
Show Answer
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Discuss
Correct Answer: all zeros lie in the left half plane
Explanation:
For stability poles must be in left half plane. Zeros in left half plane lead to minimum phase shift.
8. For the system in the given figure the characteristic equation is
Options
A.
B.
C. K(
s
+ 1)(
s
+ 3) = 0
D.
s
(
s
+ 2) = 0
Show Answer
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Discuss
Correct Answer:
Explanation:
Transfer function =
.
Hence characteristic equation is
.
9. Mechanical impedance is the ratio of
Options
A. rms force to rms velocity
B. rms force to rms displacement
C. rms velocity to rms displacement
D. none of the above
Show Answer
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Correct Answer: rms force to rms velocity
Explanation:
In force voltage analogy force is analogous to voltage and velocity to current. Just as
, force/velocity = mechanical impedance.
10. In a radio receiver with simple AGC
Options
A. the highest AGC voltage is produced between stations
B. the faster the AGC time constant, the more accurate the output
C. an increase in signal strength produces more AGC
D. the audio stage gain is normally controlled by AGC
Show Answer
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Correct Answer: an increase in signal strength produces more AGC
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