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Automatic Control Systems problems

2. 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

3. 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

5. 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

6. 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

7. 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)

8. For type 2 system, the magnitude and phase angle of the term (j?)² in the denominator, at ? = 0, are respectively
Options
A. 0 and - 90�
B. 0 and + 90�
C. infinity and - 180�
D. infinity and + 180�

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

10. In the given figure shows pole-zero plot. If steady state gain is 2 the transfer function G(s) is
Options
A.
B.
C.
D.

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