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When the number of poles is equal to the number of zeroes, how many branches of root locus tends towards infinity?
- a)1
- b)2
- c)0
- d)Equal to number of zeroes
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
When the number of poles is equal to the number of zeroes, how many br...
Answer: c
Explanation: Branches of the root locus is equal to the number of poles or zeroes which ever is greater and tends toward infinity when poles or zeroes are unequal.
Explanation: Branches of the root locus is equal to the number of poles or zeroes which ever is greater and tends toward infinity when poles or zeroes are unequal.
Most Upvoted Answer
When the number of poles is equal to the number of zeroes, how many br...
Explanation:
Root locus is a graphical representation of the poles of a closed-loop transfer function as the gain is varied from 0 to infinity. It is used to determine the stability of a closed-loop system and to design compensators to improve its stability.
When the number of poles is equal to the number of zeroes, the root locus does not tend towards infinity. This is because the number of branches of the root locus is equal to the number of poles minus the number of zeroes. Since the number of poles is equal to the number of zeroes, the number of branches of the root locus is equal to zero.
In other words, the root locus is confined to the real axis and does not extend to infinity. This indicates that the closed-loop system is marginally stable, as there are no poles or zeroes in the right-half of the s-plane.
Conclusion:
When the number of poles is equal to the number of zeroes, the root locus does not tend towards infinity. The number of branches of the root locus is equal to zero, indicating that the closed-loop system is marginally stable.
Root locus is a graphical representation of the poles of a closed-loop transfer function as the gain is varied from 0 to infinity. It is used to determine the stability of a closed-loop system and to design compensators to improve its stability.
When the number of poles is equal to the number of zeroes, the root locus does not tend towards infinity. This is because the number of branches of the root locus is equal to the number of poles minus the number of zeroes. Since the number of poles is equal to the number of zeroes, the number of branches of the root locus is equal to zero.
In other words, the root locus is confined to the real axis and does not extend to infinity. This indicates that the closed-loop system is marginally stable, as there are no poles or zeroes in the right-half of the s-plane.
Conclusion:
When the number of poles is equal to the number of zeroes, the root locus does not tend towards infinity. The number of branches of the root locus is equal to zero, indicating that the closed-loop system is marginally stable.
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