How are open-loop zeros represented in Root Locus?

• A. X
• B. O
• C. +
• D. Δ

Answer: (B)

In Root Locus analysis, open-loop zeros are represented using the symbol "O." This notation is essential when analyzing the system's behavior as the gain varies. Open-loop zeros correspond to the values of the Laplace variable that make the numerator of the transfer function equal to zero. They play a crucial role in determining the system's response and overall stability.

Understanding this representation highlights the points in the complex plane that influence the movement of the poles in the Root Locus. Since open-loop poles (which are represented differently) affect how the system responds to inputs, recognizing zeros is critical in system design and analysis. The representation helps engineers visualize how changes in gain will affect the pole locations, thereby influencing stability and performance.