First column elements of Routh's tabulation are 3, 5, , 2. It means that there i

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Question
First column elements of Routh's tabulation are 3, 5, , 2. It means that there
Options
A. is one root in left half s plane
B. are two roots in left half s plane
C. are two roots in right half s plane
D. is one root in right half s plane

Correct Answer

are two roots in right half s plane

Explanation

Since there are two sign changes in the first column, hence two roots in right half plane.

Automatic Control Systems problems

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1. For the control system in the given figure, the value of K for critical damping is
Options
A. 1
B. 5.125
C. 6.831
D. 10

2. In the given figure, the input frequency is such that R = X_C. Then
Options
A. v₀ lags v_i by 45�
B. v₀ lags v_i by 90�
C. v₀ leads v_i by 45�
D. v₀ leads v_i by 90�

6. Consider the systems with following open loop transfer functions
If unity feedback is used, the increasing order of time taken for unit step response to settle is
Options
A. 1, 2, 3
B. 3, 1, 2
C. 2, 3, 1
D. 3, 2, 1

7. When a unit step voltage drives a lag network the output
Options
A. remains constant at unit step value
B. increases exponentially from zero to final value
C. decreases exponentially from 1 to 0
D. either (b) of (c) depending on values of R and C

8. In a minimum phase system
Options
A. all poles lie in the left half plane
B. all zeros lie in the left half plane
C. all poles lie in the right half plane
D. all except one pole or zero lie in the left half plane

9. For the system in the given figure the characteristic equation is
Options
A.
B.
C. K(s + 1)(s + 3) = 0
D. s(s + 2) = 0

10. Mechanical impedance is the ratio of
Options
A. rms force to rms velocity
B. rms force to rms displacement
C. rms velocity to rms displacement
D. none of the above

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