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Which one of the following is not the property of root loci?
  • a)
    The root locus is symmetrical about imaginary axis
  • b)
    They start from the open loop poles and terminate at the open loop zeroes
  • c)
    The breakaway points are determined from dK/ds = 0
  • d)
    Segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which one of the following is not the property of root loci?a)The root...
Answer: a
Explanation: The root locus is the locus traced due to the gain of the system with changing frequency and need not be symmetrical about origin.
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Which one of the following is not the property of root loci?a)The root...
Root Loci Properties

- The root locus is symmetrical about the real axis, not the imaginary axis.
- They start from the open loop poles and terminate at the open loop zeroes.
- The breakaway points are determined from dK/ds = 0.
- Segments of the real axis are the part of the root locus if and only if the total number of real poles and zeroes to their right is odd.

Explanation

The root locus is a graphical representation of the closed-loop pole locations as the gain of the system varies from zero to infinity. The properties of the root locus are essential in the analysis and design of control systems.

Option A states that the root locus is symmetrical about the imaginary axis, which is incorrect. The root locus is symmetrical about the real axis, meaning that if a pole or zero is located at a complex conjugate pair, the corresponding point on the root locus will be reflected across the real axis.

Option B is correct as the root locus always starts from the open loop poles and terminates at the open loop zeroes.

Option C is also correct as the breakaway points are determined from dK/ds = 0, where s is the complex variable and K is the gain of the system.

Option D is also correct as segments of the real axis are the part of the root locus if and only if the total number of real poles and zeroes to their right is odd. This property is known as the angle criterion.

In conclusion, option A is the correct answer as the root locus is symmetrical about the real axis, not the imaginary axis.
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Which one of the following is not the property of root loci?a)The root locus is symmetrical about imaginary axisb)They start from the open loop poles and terminate at the open loop zeroesc)The breakaway points are determined from dK/ds = 0d)Segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.Correct answer is option 'A'. Can you explain this answer?
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Which one of the following is not the property of root loci?a)The root locus is symmetrical about imaginary axisb)They start from the open loop poles and terminate at the open loop zeroesc)The breakaway points are determined from dK/ds = 0d)Segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.Correct answer is option 'A'. 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 Which one of the following is not the property of root loci?a)The root locus is symmetrical about imaginary axisb)They start from the open loop poles and terminate at the open loop zeroesc)The breakaway points are determined from dK/ds = 0d)Segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.Correct answer is option 'A'. 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 Which one of the following is not the property of root loci?a)The root locus is symmetrical about imaginary axisb)They start from the open loop poles and terminate at the open loop zeroesc)The breakaway points are determined from dK/ds = 0d)Segments of the real axis are the part of the root locus if and only is the total number of real poles and zeroes to their right is odd.Correct answer is option 'A'. Can you explain this answer?.
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