# What is an indication of Routh- Hurwitz criteria if the characteristic equation consists of only odd powers of 's' ?

## What is an indication of Routh- Hurwitz criteria if the characteristic equation consists of only odd powers of 's' ?

a. Roots of characteristic equation are imaginary

b. Roots of characteristic equation are real

c. Both (a & b)

d. None.

Correct Answer : a. Roots of characteristic equation are imaginary

**Explanation :**

According to R-H application, even if characteristic equation possesses either even powers of 's', or only the odd powers of 's', then roots have only the imaginary terms despite of real terms.

#### Discussion

**RE: What is an indication of Routh- Hurwitz criteria if the characteristic equation consists of only odd powers of 's' ? - radhika sharma (07/22/15)**- Roots of characteristic equation are imaginary