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Which one of the following are correct?The root locus is the path of the roots of the characteristic equation traced out in the s-plane?
- a)As the input of the system is changed
- b)As the output of the system is changed
- c)As a system parameter is changed
- d)As the sensitivity is changed
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following are correct?The root locus is the path of t...
Answer: c
Explanation: The root locus is the locus of the change of the system parameters of the characteristic equation traced out in the s-plane.
Explanation: The root locus is the locus of the change of the system parameters of the characteristic equation traced out in the s-plane.
Most Upvoted Answer
Which one of the following are correct?The root locus is the path of t...
The correct answer is option 'C' - "As a system parameter is changed."
Explanation:
The root locus is a graphical representation of the possible locations of the roots of the characteristic equation as a system parameter is varied. It helps in analyzing the stability and performance of a control system.
Here is a detailed explanation of each option and why option 'C' is the correct answer:
a) As the input of the system is changed:
The root locus is not directly affected by changes in the input of the system. The root locus primarily focuses on the behavior of the system based on changes in system parameters.
b) As the output of the system is changed:
Similarly, the root locus is not directly influenced by changes in the output of the system. The root locus deals with the locations of the roots of the characteristic equation, which are related to the stability and performance of the system.
c) As a system parameter is changed:
This is the correct answer. The root locus is constructed by varying a specific system parameter while keeping other parameters constant. The parameter that is varied can be a gain, time constant, or any other parameter that affects the system's transfer function. By varying this parameter, the root locus shows the paths of the roots of the characteristic equation in the s-plane.
d) As the sensitivity is changed:
The sensitivity of the system refers to the change in the output with respect to changes in the input or system parameters. While sensitivity is an important concept in control systems, it is not directly related to the root locus. The root locus, as mentioned earlier, focuses on the behavior of the system's roots, rather than the sensitivity.
In conclusion, the root locus is the path of the roots of the characteristic equation traced out in the s-plane as a specific system parameter is changed. It provides valuable insights into the stability and performance of the control system.
Explanation:
The root locus is a graphical representation of the possible locations of the roots of the characteristic equation as a system parameter is varied. It helps in analyzing the stability and performance of a control system.
Here is a detailed explanation of each option and why option 'C' is the correct answer:
a) As the input of the system is changed:
The root locus is not directly affected by changes in the input of the system. The root locus primarily focuses on the behavior of the system based on changes in system parameters.
b) As the output of the system is changed:
Similarly, the root locus is not directly influenced by changes in the output of the system. The root locus deals with the locations of the roots of the characteristic equation, which are related to the stability and performance of the system.
c) As a system parameter is changed:
This is the correct answer. The root locus is constructed by varying a specific system parameter while keeping other parameters constant. The parameter that is varied can be a gain, time constant, or any other parameter that affects the system's transfer function. By varying this parameter, the root locus shows the paths of the roots of the characteristic equation in the s-plane.
d) As the sensitivity is changed:
The sensitivity of the system refers to the change in the output with respect to changes in the input or system parameters. While sensitivity is an important concept in control systems, it is not directly related to the root locus. The root locus, as mentioned earlier, focuses on the behavior of the system's roots, rather than the sensitivity.
In conclusion, the root locus is the path of the roots of the characteristic equation traced out in the s-plane as a specific system parameter is changed. It provides valuable insights into the stability and performance of the control system.
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Which one of the following are correct?The root locus is the path of the roots of the characteristic equation traced out in the s-plane?a)As the input of the system is changedb)As the output of the system is changedc)As a system parameter is changedd)As the sensitivity is changedCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Which one of the following are correct?The root locus is the path of the roots of the characteristic equation traced out in the s-plane?a)As the input of the system is changedb)As the output of the system is changedc)As a system parameter is changedd)As the sensitivity is changedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following are correct?The root locus is the path of the roots of the characteristic equation traced out in the s-plane?a)As the input of the system is changedb)As the output of the system is changedc)As a system parameter is changedd)As the sensitivity is changedCorrect answer is option 'C'. Can you explain this answer?.
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