Assertion (A): The steady state response, of a stable, linear, time invariant sy

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Question
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 j?
Options
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

Correct Answer

R is correct but A is wrong

Explanation

Steady state response does not depend on initial conditions.

Automatic Control Systems problems

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2. For very low frequencies, v₀/v_i in the given figure equals
Options
A. 1
B. 0
C. ?
D. 0.5

3. 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)

5. 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

6. For the system in the given figure. The transfer function C(s)/R(s) is
Options
A. G₁ + G₂ + 1
B. G₁ G₂ + 1
C. G₁ G₂ + G₂ + 1
D. G₁ G₂ + G₁ + 1

8. In a two phase ac servomotor rotor resistance is R and rotor reactance is X. The speed curve will be linear if
Options
A.
B.
C.
D. X² = R

9. For the system of the given figure, the damping ratio of closed loop poles is
Options
A. 1.5
B. 1
C. 0.5
D. 0.25

10. A system has its two poles on the negative real axis and one pair of poles lies on j? axis. The system is
Options
A. stable
B. unstable
C. limitedly stable
D. either (a) or (c)

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