If s^3 + Ks^2 + 5s + 10 = 0, the root of the feedback system's characteristic equation is said to be critically stable. Then, the value of K will be: - Automatic Control Systems

Electronics and Communication Engineering (ECE) : Automatic Control Systems - Quiz(MCQ)

If s^3 + Ks^2 + 5s + 10 = 0, the root of the feedback system's characteristic equation is said to be critically stable. Then, the value of K will be:

A)

1

B)

2

C)

3

D)

4

Correct Answer : Option (B) : 2

Explanation : For the above equation, we need to find the roots by creating the Routh's array table. The given equation is: s^3 + Ks^2 + 5s + 10

The table is given below:

For the system to be critically stable, we will put (5K -10)/K = 0

5K - 10 = 0

5K = 10

K = 2

The value of K for which the system is said to be critically stable is 2.

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