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Which of the following option is correct?
The root locus is the path of the roots of the characteristic equation traced out in the s-plane
The root locus is the path of the roots of the characteristic equation traced out in the s-plane
- a)as the output of the system is changed
- b)as the sensitivity is changed.
- c)as the system parameter is changed
- d)as the input of the system is changed
Correct answer is option 'C'. Can you explain this answer?
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Which of the following option is correct?The root locus is the path of...
The root locus is defined as location of closed loop poles when system gain k is varied from zero to infinity.
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Which of the following option is correct?The root locus is the path of...
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 is a plot of the poles of the closed-loop transfer function as the gain or any other system parameter is varied.
Characteristics of Root Locus:
1. It is a plot of the roots of the characteristic equation in the s-plane.
2. It shows the locations of the poles of the closed-loop transfer function as a system parameter is varied.
3. The root locus provides insight into the stability and transient response characteristics of the system.
4. It helps in designing and tuning the controller parameters to achieve desired system performance.
Options:
a) The output of the system: The root locus is not directly dependent on the output of the system. It primarily depends on the system parameter(s) being varied.
b) Sensitivity: The root locus is not directly related to the sensitivity of the system. Sensitivity analysis deals with how changes in the system parameters affect the output or performance of the system.
c) System parameter: The correct answer. The root locus is specifically a plot of the roots of the characteristic equation as a system parameter is varied. By varying the system parameter(s) such as gain, damping coefficient, time constant, etc., the root locus plot can be generated, which shows the possible locations of the poles of the closed-loop system.
d) The input of the system: The root locus is not dependent on the input of the system. It focuses on the effect of varying system parameter(s) on the stability and response characteristics of the system.
Therefore, option 'C' is the correct answer as the root locus is the path of the roots of the characteristic equation traced out in the s-plane as the system parameter is changed.
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 is a plot of the poles of the closed-loop transfer function as the gain or any other system parameter is varied.
Characteristics of Root Locus:
1. It is a plot of the roots of the characteristic equation in the s-plane.
2. It shows the locations of the poles of the closed-loop transfer function as a system parameter is varied.
3. The root locus provides insight into the stability and transient response characteristics of the system.
4. It helps in designing and tuning the controller parameters to achieve desired system performance.
Options:
a) The output of the system: The root locus is not directly dependent on the output of the system. It primarily depends on the system parameter(s) being varied.
b) Sensitivity: The root locus is not directly related to the sensitivity of the system. Sensitivity analysis deals with how changes in the system parameters affect the output or performance of the system.
c) System parameter: The correct answer. The root locus is specifically a plot of the roots of the characteristic equation as a system parameter is varied. By varying the system parameter(s) such as gain, damping coefficient, time constant, etc., the root locus plot can be generated, which shows the possible locations of the poles of the closed-loop system.
d) The input of the system: The root locus is not dependent on the input of the system. It focuses on the effect of varying system parameter(s) on the stability and response characteristics of the system.
Therefore, option 'C' is the correct answer as the root locus is the path of the roots of the characteristic equation traced out in the s-plane as the system parameter is changed.
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Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer?
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Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer?.
Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Which of the following option is correct?The root locus is the path of the roots of the characteristic equation traced out in the s-planea)as the output of the system is changedb)as the sensitivity is changed.c)as the system parameter is changedd)as the input of the system is changedCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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