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Which one of the following rules determine the mapping of s-plane to z-plane?
  • a)
    Right side of the s-plane maps into outside of the unit circle in z-plane
  • b)
    Left half of s-plane maps into inside of the unit circle
  • c)
    Imaginary axis in s-plane maps into the circumference of the unit circle
  • d)
    All of the mentioned
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Which one of the following rules determine the mapping of s-plane to z...
Explanation: S- plane can be mapped into the z plane with certain rules than right side maps into the outside, left side maps into the inside and imaginary axis maps on the unit circle of the z plane.
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Most Upvoted Answer
Which one of the following rules determine the mapping of s-plane to z...
Mapping of s-plane to z-plane

The mapping of the s-plane to the z-plane is an important concept in the field of control systems and signal processing. It allows us to analyze continuous-time systems in the discrete-time domain. There are certain rules that determine this mapping, and the correct answer is option 'D', which states that all of the mentioned rules are true.

Explanation:

Let's discuss each of the mentioned rules in detail:

a) Right side of the s-plane maps into outside of the unit circle in the z-plane:
- The right side of the s-plane represents the region of stability for continuous-time systems.
- When mapping the s-plane to the z-plane, the right side of the s-plane maps into the outside of the unit circle in the z-plane.
- This means that stable continuous-time systems will map to stable discrete-time systems, as long as the sampling rate is sufficiently high.

b) Left half of s-plane maps into inside of the unit circle in the z-plane:
- The left half of the s-plane represents the region of instability for continuous-time systems.
- When mapping the s-plane to the z-plane, the left half of the s-plane maps into the inside of the unit circle in the z-plane.
- This means that unstable continuous-time systems will map to stable discrete-time systems.

c) Imaginary axis in s-plane maps into the circumference of the unit circle:
- The imaginary axis in the s-plane represents the oscillatory behavior of continuous-time systems.
- When mapping the s-plane to the z-plane, the imaginary axis in the s-plane maps into the circumference of the unit circle in the z-plane.
- This means that the oscillatory behavior of continuous-time systems will be preserved in the discrete-time domain.

Conclusion:

In summary, the correct answer is option 'D' because all of the mentioned rules determine the mapping of the s-plane to the z-plane. These rules allow us to analyze continuous-time systems in the discrete-time domain and understand the behavior of the system after sampling.
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Which one of the following rules determine the mapping of s-plane to z-plane?a)Right side of the s-plane maps into outside of the unit circle in z-planeb)Left half of s-plane maps into inside of the unit circlec)Imaginary axis in s-plane maps into the circumference of the unit circled)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?
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Which one of the following rules determine the mapping of s-plane to z-plane?a)Right side of the s-plane maps into outside of the unit circle in z-planeb)Left half of s-plane maps into inside of the unit circlec)Imaginary axis in s-plane maps into the circumference of the unit circled)All of the mentionedCorrect answer is option 'D'. 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 rules determine the mapping of s-plane to z-plane?a)Right side of the s-plane maps into outside of the unit circle in z-planeb)Left half of s-plane maps into inside of the unit circlec)Imaginary axis in s-plane maps into the circumference of the unit circled)All of the mentionedCorrect answer is option 'D'. 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 rules determine the mapping of s-plane to z-plane?a)Right side of the s-plane maps into outside of the unit circle in z-planeb)Left half of s-plane maps into inside of the unit circlec)Imaginary axis in s-plane maps into the circumference of the unit circled)All of the mentionedCorrect answer is option 'D'. Can you explain this answer?.
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