Question

Which one of the following is not the property of root loci?

• A. The root locus is symmetrical about imaginary axis.
• B. They start from the open loop poles and terminate at the open loop zeroes.
• C. The breakaway points are determined from dK/ds = 0.
• D. Segments of the real axis are the part of the root locus if and only if the total number of real poles and zeroes to their right is odd.

Hint:

When studying root locus analysis, focus on understanding the symmetry, breakaway points, and real-axis segments. These are essential for analyzing system stability and design.

Answer 1

The Correct Option is A

The root locus is a graphical method used to determine the location of poles of a closed-loop transfer function as the system parameter (usually gain) varies. It is not symmetrical about the imaginary axis. Other properties of the root locus include starting from open-loop poles and ending at open-loop zeros, with breakaway points determined by differentiating the characteristic equation. The real-axis segments are part of the root locus if the number of poles and zeros to the right is odd.