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Automatic Control Systems problems
1. For the transport lag G(
j
?) =
e
-j
?T
, the magnitude is always equal to
Options
A. 0
B. 1
C. 10
D. 0.5
Show Answer
Scratch Pad
Discuss
Correct Answer: 1
Explanation:
Magnitude is 1.
2. A negative feedback system has
. The closed loop system is stable for
Options
A. K > 20
B. 15 < K < 19
C. 8 ? K ? 14
D. K < 6
Show Answer
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Discuss
Correct Answer: K < 6
Explanation:
Find characteristic equation.
3. For the system of the given figure the transfer function
=
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
Explanation:
, E
0
(
s
) = [I(
s
)][Z
2
(
s
)] or
.
4. Stepper motors find applications in
Options
A. X-Y plotters
B. numerically controlled machining equipment
C. printers
D. all of the above
Show Answer
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Correct Answer: all of the above
Explanation:
Stepper motors are used in all these applications.
5. The log magnitude curve for a constant gain K is a
Options
A. horizontal straight line
B. horizontal straight line of magnitude 20 log K decibels
C. an inclined line having slope K
D. an inclined line having slope -K
Show Answer
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Discuss
Correct Answer: horizontal straight line of magnitude 20 log K decibels
Explanation:
The factor K in the numerator of G(
j
?) gives is straight line at 20 log
10
K in Bode plot.
6. For the system in the given figure,
Options
A.
B.
C.
D. none of the above
Show Answer
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Discuss
Correct Answer:
Explanation:
For inner loop we have transfer function =
Then
=
.
7. In an integral controller
Options
A. the output is proportional to input
B. the rate of change of output is proportional to input
C. the output is proportional to rate of change of input
D. none of the above
Show Answer
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Discuss
Correct Answer: the rate of change of output is proportional to input
Explanation:
Output is proportional to integral of input or rate of change of output is proportional to input.
8. For the system of the given figure the transfer function is
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
Explanation:
Transfer function =
.
9. Whether a linear system is stable or unstable that it
Options
A. is a property of the system only
B. depends on the input function only
C. both (a) and (b)
D. either (a) or (b)
Show Answer
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Discuss
Correct Answer: is a property of the system only
Explanation:
Stability is a property of the system only.
10. For very low frequencies,
v
0
/
v
i
in the given figure equals
Options
A. 1
B. 0
C. ?
D. 0.5
Show Answer
Scratch Pad
Discuss
Correct Answer: 1
Explanation:
For low frequencies X
c
is very high as compared to R. Hence
.
First
2
3
4
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