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Automatic Control Systems problems
1. In the given figure the input frequency is such that
R
<<
X
c
, then
Options
A.
v
0
lags
v
i
by 90°
B.
v
0
leads
v
i
by 90°
C.
v
0
and
v
i
are in phase
D. either (b) or (c)
Show Answer
Scratch Pad
Discuss
Correct Answer:
v
0
lags
v
i
by 90°
Explanation:
Voltage across capacitor lags by 90°.
2. If error voltage is
e
(
t
), integral square error =
Options
A.
e
2
(
t
)
dt
B.
C.
D. none of the above
Show Answer
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Discuss
Correct Answer:
Explanation:
Error is squared and integrated.
3. In Bode diagram (log magnitude plot) the factor
in the transfer function gives a line having slope
Options
A. -20 dB per octave
B. -10 dB per octave
C. -6 dB per octave
D. -2 dB per octave
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Correct Answer: -6 dB per octave
Explanation:
For
term the slope is -20 dB/decade or -6 dB/octave because - 20 log 2 = -6 dB.
4. For the given figure,
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
Explanation:
For the inner loop, transfer function =
Then
.
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. The given figure shows a pole zero diagram. The transfer function G(
j
1) is
Options
A. 0.5 ?0
B. 2.7 ?- 31°
C. 2 ?45°
D. 2 ?- 67.4°
Show Answer
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Correct Answer: 0.5 ?0
Explanation:
Join
j
1
point with the zero and poles. Find magnitude and phase angles of all these lines.
7. 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
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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.
8. 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 ?
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Correct Answer: dB magnitude and log ?
Explanation:
Frequency is plotted on log scale and magnitude is taken in dB.
9. 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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Correct Answer: large
Explanation:
Arbitrary inputs require large bandwidth.
10. For the circuit in the given figure,
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
Explanation:
.
First
2
3
4
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