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If s=σ+jΩ and z=re and r=1, then which of the following inference is correct? 
  • a)
    LHS of the s-plane is mapped inside the circle, |z|=1
  • b)
    RHS of the s-plane is mapped outside the circle, |z|=1
  • c)
    Imaginary axis in the s-plane is mapped to the circle, |z|=1
  • d)
    None of the mentioned
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If s=σ+jΩ and z=rejωand r=1, then which of the follo...
Explanation: We know that if =σ+jΩ and z=re, then by substituting the values in the below expression

=>σ = 2/T[(r2-1)/(r2+1+2rcosω)] When r=1 => σ = 0.
This shows that the imaginary axis in the s-domain is mapped to the circle of unit radius centered at z=0 in the z-domain.
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If s=σ+jΩ and z=rejωand r=1, then which of the follo...
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If s=σ+jΩ and z=rejωand r=1, then which of the following inference is correct?a)LHS of the s-plane is mapped inside the circle, |z|=1b)RHS of the s-plane is mapped outside the circle, |z|=1c)Imaginary axis in the s-plane is mapped to the circle, |z|=1d)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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If s=σ+jΩ and z=rejωand r=1, then which of the following inference is correct?a)LHS of the s-plane is mapped inside the circle, |z|=1b)RHS of the s-plane is mapped outside the circle, |z|=1c)Imaginary axis in the s-plane is mapped to the circle, |z|=1d)None of the mentionedCorrect 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 If s=σ+jΩ and z=rejωand r=1, then which of the following inference is correct?a)LHS of the s-plane is mapped inside the circle, |z|=1b)RHS of the s-plane is mapped outside the circle, |z|=1c)Imaginary axis in the s-plane is mapped to the circle, |z|=1d)None of the mentionedCorrect 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 If s=σ+jΩ and z=rejωand r=1, then which of the following inference is correct?a)LHS of the s-plane is mapped inside the circle, |z|=1b)RHS of the s-plane is mapped outside the circle, |z|=1c)Imaginary axis in the s-plane is mapped to the circle, |z|=1d)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?.
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