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Assertion (A): The zeroes on the real axis near the origin are generally avoided in design.
Reason (R): In a sluggish system introduction of zeroes can improve the transient response
  • a)
    Both A and R are true and R is correct explanation of A
  • b)
    Both A and R are true but R is not correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false but R is true
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Assertion (A): The zeroes on the real axis near the origin are general...
Explanation: The zeroes on the real axis near the origin are generally avoided in design as they cause system instability.
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Assertion (A): The zeroes on the real axis near the origin are general...
Explanation:

Assertion (A): The zeroes on the real axis near the origin are generally avoided in design.
- Zeroes on the real axis near the origin can lead to instability in the system.
- These zeroes can cause oscillations and ringing in the system response.

Reason (R): In a sluggish system introduction of zeroes can improve the transient response.
- Introducing zeroes in a system can help in improving the transient response by damping out oscillations.
- By strategically placing zeroes, the system response can be made faster and more stable.

Explanation:
- Both Assertion (A) and Reason (R) are true.
- The reason (R) provides a correct explanation for the assertion (A) because introducing zeroes in a sluggish system can indeed improve the transient response by damping out oscillations and making the system faster and more stable.
- Therefore, option B is the correct answer.
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