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Automatic Control Systems - Section 1 (4)

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Automatic Control Systems - Section 1

25. 

Consider the systems with following open loop transfer functions

1.23-203-1

2.23-203-2

3.23-203-3

If unity feedback is used, the increasing order of time taken for unit step response to settle is

A. 1, 2, 3
B. 3, 1, 2
C. 2, 3, 1
D. 3, 2, 1

Answer: Option C

Explanation:

42-203 For the three systems the values of ξωn are 1.8, 2.5 and 2 respectively.

Hence values of T are 0.55, 0.4 and 0.5 respectively.

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26. 

Assertion (A): The steady state response, of a stable, linear, time invariant system, to sinusoidal input depends on initial conditions.

Reason (R): Frequency response, in steady state, is obtained by replacing s in the transfer function by jω

A. Both A and R are correct and R is correct explanation of A
B. Both A and R are correct but R is not correct explanation of A
C. A is correct but R is wrong
D. R is correct but A is wrong

Answer: Option D

Explanation:

Steady state response does not depend on initial conditions.

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27. 

Bellows converts

A. pressure difference into displacement
B. pressure difference into voltage
C. displacement into pressure difference
D. either (a) or (c)

Answer: Option A

Explanation:

To measure pressure, it is convenient to convert pressure into displacement and then use a displacement transducer.

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28. 

A unity feedback system has open loop transfer function 14-57 The closed loop transfer function is

A. 14-57-1
B. 14-57-2
C. 14-57-3
D. 14-57-4

Answer: Option B

Explanation:

41-57

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29. 

In the given figure, of potentiometer V0 = Vi (R0/Ri) only when

31-316

A. RL = 0
B. RL = ∞
C. RL is neither low nor high
D. RL is low but not zero

Answer: Option B

Explanation:

If RL is not infinite, the voltage ratio of potentiometer depends on the value of RL. This is called loading effect.

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30. 

In the given figure the input frequency is such that R << Xc, then

32-346

A. v0 lags vi by 90°
B. v0 leads vi by 90°
C. v0 and vi are in phase
D. either (b) or (c)

Answer: Option A

Explanation:

Voltage across capacitor lags by 90°.

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31. 

A system has its two poles on the negative real axis and one pair of poles lies on jω axis. The system is

A. stable
B. unstable
C. limitedly stable
D. either (a) or (c)

Answer: Option C

Explanation:

Poles on j x-axis lead to oscillations.

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32. 

For the circuit in the given figure,20-167-11

20-167

A. 21-167-1
B. 21-167-2
C. 21-167-3
D. 21-167-4

Answer: Option C

Explanation:

42-167

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