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Automatic Control Systems
Comments
Question
For the circuit in the given figure, V
2
(
s
)/V
1
(
s
) =
Options
A.
B.
C.
D.
Correct Answer
Explanation
.
Automatic Control Systems problems
Search Results
1. For the given figure C(
s
)/R(
s
)
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
Explanation:
.
2. For the circuit in the given figure,
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
Explanation:
.
3. If a system is to follow arbitrary inputs accurately the bandwidth should be
Options
A. large
B. small
C. very small
D. neither small nor large
Show Answer
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Discuss
Correct Answer: large
Explanation:
Arbitrary inputs require large bandwidth.
4. Bode magnitude plot is drawn between
Options
A. magnitude of network function and ?
B. dB magnitude and log ?
C. dB magnitude and ?
D. log
e
(magnitude) and log ?
Show Answer
Scratch Pad
Discuss
Correct Answer: dB magnitude and log ?
Explanation:
Frequency is plotted on log scale and magnitude is taken in dB.
5. In the given figure, of potentiometer V
0
= V
i
(R
0
/R
i
) only when
Options
A. R
L
= 0
B. R
L
= ?
C. R
L
is neither low nor high
D. R
L
is low but not zero
Show Answer
Scratch Pad
Discuss
Correct Answer: R
L
= ?
Explanation:
If R
L
is not infinite, the voltage ratio of potentiometer depends on the value of R
L
. This is called loading effect.
6. 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
Scratch Pad
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°.
7. 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 .
8. 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.
9. 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
Show Answer
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Discuss
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.
10. 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
Scratch Pad
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
.
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