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Consider the following statements regarding root loci:
- a)All root loci start from the respective poles of G(s) H(s)
- b)All root loci end at the respective zeros of G(s) H(s) or go to infinity
- c)The root loci are symmetrical about the imaginary axis of the s-plane
- d)All root loci start and end from the respective poles of G(s) H(s) or go to infinity
Correct answer is option 'B'. Can you explain this answer?
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Consider the following statements regarding root loci:a)All root loci ...
Answer: b
Explanation: All the root locus start at respective poles and end at zeroes.
Explanation: All the root locus start at respective poles and end at zeroes.
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Consider the following statements regarding root loci:a)All root loci ...
Root Loci
Root Loci are the graphical representations of the roots of the characteristic equation of a feedback control system. The characteristic equation is obtained by equating the denominator of the transfer function of the closed-loop system to zero. The roots of this equation determine the stability of the system.
Statements regarding Root Loci
a) All root loci start from the respective poles of G(s) H(s)
This statement is incorrect. Root loci may or may not start from the poles of G(s) H(s). The starting point of the root locus depends on the initial conditions of the system.
b) All root loci end at the respective zeros of G(s) H(s) or go to infinity
This statement is correct. Root loci always end at the zeros of G(s) H(s) or go to infinity. This is because the poles of the closed-loop transfer function move towards the zeros of G(s) H(s) as the gain of the system increases. At a certain value of gain, the poles may reach the zeros, and the system becomes unstable.
c) The root loci are symmetrical about the imaginary axis of the s-plane
This statement is incorrect. The root loci may or may not be symmetrical about the imaginary axis of the s-plane. The symmetry of the root locus depends on the type of poles and zeros of the system.
d) All root loci start and end from the respective poles of G(s) H(s) or go to infinity
This statement is incorrect. Root loci may or may not start and end at the poles of G(s) H(s). The starting and ending points of the root locus depend on the number of poles and zeros of the system.
Therefore, the correct statement among the given options is option B, i.e., all root loci end at the respective zeros of G(s) H(s) or go to infinity.
Root Loci are the graphical representations of the roots of the characteristic equation of a feedback control system. The characteristic equation is obtained by equating the denominator of the transfer function of the closed-loop system to zero. The roots of this equation determine the stability of the system.
Statements regarding Root Loci
a) All root loci start from the respective poles of G(s) H(s)
This statement is incorrect. Root loci may or may not start from the poles of G(s) H(s). The starting point of the root locus depends on the initial conditions of the system.
b) All root loci end at the respective zeros of G(s) H(s) or go to infinity
This statement is correct. Root loci always end at the zeros of G(s) H(s) or go to infinity. This is because the poles of the closed-loop transfer function move towards the zeros of G(s) H(s) as the gain of the system increases. At a certain value of gain, the poles may reach the zeros, and the system becomes unstable.
c) The root loci are symmetrical about the imaginary axis of the s-plane
This statement is incorrect. The root loci may or may not be symmetrical about the imaginary axis of the s-plane. The symmetry of the root locus depends on the type of poles and zeros of the system.
d) All root loci start and end from the respective poles of G(s) H(s) or go to infinity
This statement is incorrect. Root loci may or may not start and end at the poles of G(s) H(s). The starting and ending points of the root locus depend on the number of poles and zeros of the system.
Therefore, the correct statement among the given options is option B, i.e., all root loci end at the respective zeros of G(s) H(s) or go to infinity.
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Consider the following statements regarding root loci:a)All root loci start from the respective poles of G(s) H(s)b)All root loci end at the respective zeros of G(s) H(s) or go to infinityc)The root loci are symmetrical about the imaginary axis of the s-planed)All root loci start and end from the respective poles of G(s) H(s) or go to infinityCorrect answer is option 'B'. Can you explain this answer?
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Consider the following statements regarding root loci:a)All root loci start from the respective poles of G(s) H(s)b)All root loci end at the respective zeros of G(s) H(s) or go to infinityc)The root loci are symmetrical about the imaginary axis of the s-planed)All root loci start and end from the respective poles of G(s) H(s) or go to infinityCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Consider the following statements regarding root loci:a)All root loci start from the respective poles of G(s) H(s)b)All root loci end at the respective zeros of G(s) H(s) or go to infinityc)The root loci are symmetrical about the imaginary axis of the s-planed)All root loci start and end from the respective poles of G(s) H(s) or go to infinityCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements regarding root loci:a)All root loci start from the respective poles of G(s) H(s)b)All root loci end at the respective zeros of G(s) H(s) or go to infinityc)The root loci are symmetrical about the imaginary axis of the s-planed)All root loci start and end from the respective poles of G(s) H(s) or go to infinityCorrect answer is option 'B'. Can you explain this answer?.
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