Electronics and Communication Engineering - Automatic Control Systems

1.
The first column of a Routh array is

How many roots of the corresponding characteristic equation are in left half s-plane?
2
3
4
5
Answer: Option
Explanation:

Total number of roots is 5. Since two sign changes in first column, two roots are in right half plane.

Hence 3 roots in left half plane.


2.
For the given figure, time constant RC = t. Then
t2s2 + 2ts + 1
ts2 + 1
Answer: Option
Explanation:

.


3.
The entries in the first column of Routh array of a fourth order are 5, 2, - 0.1, 2, 1. The number of poles in the right half plane are
1
2
3
4
Answer: Option
Explanation:

Two sign changes and hence two poles in right half plane.


4.
In Bode diagram (log magnitude plot) the factor (jω)n in the transfer function gives a line having slope
20 dB/decade
20n dB/decade
-20n dB/decade
Answer: Option
Explanation:

For (jω)n term the slope is (20 n) dB/decade.


5.
The magnitude of transport lag factor is always zero.
True
False
Answer: Option
Explanation:

It is not always zero.