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 The left half of the s-plane is mapped to which of the following in the z-domain?
  • a)
    Outside the circle |z-0.5|=0.5
  • b)
    Outside the circle |z+0.5|=0.5
  • c)
    Inside the circle |z-0.5|=0.5
  • d)
    Inside the circle |z+0.5|=0.5
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The left half of the s-plane is mapped to which of the following in th...
Explanation: The left half of the s-plane is mapped inside the circle of |z-0.5|=0.5 in the z-plane, which completely lies in the right half z-plane.
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Most Upvoted Answer
The left half of the s-plane is mapped to which of the following in th...
Mapping of s-plane to z-domain:
The left half of the s-plane corresponds to the region where the real part of s is negative. In the z-domain, this region is mapped to the interior of a circle in the z-plane.

Explanation of the correct answer:

Option C: Inside the circle |z-0.5|=0.5
In this case, the circle |z-0.5|=0.5 represents a circle with center at z=0.5 and radius 0.5. The left half of the s-plane is mapped to the interior of this circle in the z-plane.
When we consider the left half of the s-plane, the real part of s is negative. This corresponds to a region inside the unit circle in the z-plane. Since the circle |z-0.5|=0.5 lies entirely inside the unit circle, it represents the mapping of the left half of the s-plane to the z-domain.
Therefore, option C is the correct choice as it correctly represents the mapping of the left half of the s-plane to the z-domain.
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The left half of the s-plane is mapped to which of the following in the z-domain?a)Outside the circle |z-0.5|=0.5b)Outside the circle |z+0.5|=0.5c)Inside the circle |z-0.5|=0.5d)Inside the circle |z+0.5|=0.5Correct answer is option 'C'. Can you explain this answer?
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The left half of the s-plane is mapped to which of the following in the z-domain?a)Outside the circle |z-0.5|=0.5b)Outside the circle |z+0.5|=0.5c)Inside the circle |z-0.5|=0.5d)Inside the circle |z+0.5|=0.5Correct answer is option 'C'. 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 The left half of the s-plane is mapped to which of the following in the z-domain?a)Outside the circle |z-0.5|=0.5b)Outside the circle |z+0.5|=0.5c)Inside the circle |z-0.5|=0.5d)Inside the circle |z+0.5|=0.5Correct answer is option 'C'. 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 The left half of the s-plane is mapped to which of the following in the z-domain?a)Outside the circle |z-0.5|=0.5b)Outside the circle |z+0.5|=0.5c)Inside the circle |z-0.5|=0.5d)Inside the circle |z+0.5|=0.5Correct answer is option 'C'. Can you explain this answer?.
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