Question: What is the characteristic equation of a first-order system?
Options:
s + 1/Ο = 0
s^2 + 1/Ο = 0
s + Ο = 0
s^2 + Ο = 0
Correct Answer: s + 1/Ο = 0
Solution:
The characteristic equation of a first-order system is s + 1/Ο = 0, where Ο is the time constant.
What is the characteristic equation of a first-order system?
Practice Questions
Q1
What is the characteristic equation of a first-order system?
s + 1/Ο = 0
s^2 + 1/Ο = 0
s + Ο = 0
s^2 + Ο = 0
Questions & Step-by-Step Solutions
What is the characteristic equation of a first-order system?
Characteristic Equation β The characteristic equation represents the behavior of a system in the Laplace domain, specifically for first-order systems, indicating stability and response characteristics.
First-Order System β A first-order system is defined by a single energy storage element and is characterized by a first-order differential equation.
Time Constant (Ο) β The time constant Ο is a measure of the time it takes for the system's response to reach approximately 63.2% of its final value.
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