Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Consider the following statements:1. All the ...
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Consider the following statements:
1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.
2. The breakaway points of the root loci must always be on the real axis.
3. There is only, one intersection of the asymptotes of the complex root loci.
4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.
Which of the above statements is/are not correct related to root locus technique in control system?
1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.
2. The breakaway points of the root loci must always be on the real axis.
3. There is only, one intersection of the asymptotes of the complex root loci.
4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.
Which of the above statements is/are not correct related to root locus technique in control system?
- a)2 and 4
- b)1,2, 3 and 4
- c)3 and 4
- d)2, 3 and 4
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider the following statements:1. All the rules and properties for ...
There is possibility of complex B.A. point. Also when a pole is added to OLTF, root locus pushes to right and reverse happens when a zero is added.
Most Upvoted Answer
Consider the following statements:1. All the rules and properties for ...
Analysis of Statements on Root Locus Technique
To understand which statements are incorrect regarding the root locus technique, let's analyze each one:
Statement 1: Application of Root Locus Rules
- This statement is correct.
- The rules for constructing root loci in the s-plane can be applied to the z-plane with minimal modification, as both techniques follow similar principles of pole-zero placement.
Statement 2: Breakaway Points Location
- This statement is incorrect.
- Breakaway points do not always lie on the real axis; they can occur in the complex plane, depending on the system dynamics.
Statement 3: Intersection of Asymptotes
- This statement is incorrect.
- The asymptotes of the root locus can intersect at multiple points, depending on the number of poles and zeros. There is not necessarily only one intersection point.
Statement 4: Effect of Adding Poles and Zeros
- This statement is incorrect.
- Adding a pole typically moves the root locus toward the left, but the statement’s generalization about adding zeros pushing it to the right is not universally applicable. The direction depends on the specific configuration of the poles and zeros.
Conclusion
- From the analysis, Statements 2, 3, and 4 are incorrect. Therefore, the correct answer is option 'A': statements 2 and 4 are not correct.
To understand which statements are incorrect regarding the root locus technique, let's analyze each one:
Statement 1: Application of Root Locus Rules
- This statement is correct.
- The rules for constructing root loci in the s-plane can be applied to the z-plane with minimal modification, as both techniques follow similar principles of pole-zero placement.
Statement 2: Breakaway Points Location
- This statement is incorrect.
- Breakaway points do not always lie on the real axis; they can occur in the complex plane, depending on the system dynamics.
Statement 3: Intersection of Asymptotes
- This statement is incorrect.
- The asymptotes of the root locus can intersect at multiple points, depending on the number of poles and zeros. There is not necessarily only one intersection point.
Statement 4: Effect of Adding Poles and Zeros
- This statement is incorrect.
- Adding a pole typically moves the root locus toward the left, but the statement’s generalization about adding zeros pushing it to the right is not universally applicable. The direction depends on the specific configuration of the poles and zeros.
Conclusion
- From the analysis, Statements 2, 3, and 4 are incorrect. Therefore, the correct answer is option 'A': statements 2 and 4 are not correct.
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Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer?
Question Description
Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct 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 Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct 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 Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer?.
Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct 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 Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct 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 Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer?.
Solutions for Consider the following statements:1. All the rules and properties for the construction of root loci in the s-plane can be applied to the construction of root loci of discrete data system in the z-plane without any modification.2. The breakaway points of the root loci must always be on the real axis.3. There is only, one intersection of the asymptotes of the complex root loci.4. Adding a pole to Q(s)/P(s) has the general effect of pushing the root loci to the left, whereas adding a zero pushes the loci to the right.Which of the above statements is/are not correct related to root locus technique in control system?a)2 and 4 b)1,2, 3 and 4c)3 and 4 d)2, 3 and 4Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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