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A valid immittance function is
- a)(s + 4)(s + 8)/(s + 2)(s – 5)
- b)s(s + 1)/(s + 2)(s + 5)
- c)s(s + 2)(s + 3)/(s + 1)(s + 4)
- d)s(s + 2)(s + 6)/(s + 1)(s + 4)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A valid immittance function isa)(s + 4)(s + 8)/(s + 2)(s – 5)b)s...
a) pole lie on positive real axis
b) poles and zero does not interlace on axis.
c) poles and zero does not interlace on axis.
d) is a valid immittance function.
b) poles and zero does not interlace on axis.
c) poles and zero does not interlace on axis.
d) is a valid immittance function.
Most Upvoted Answer
A valid immittance function isa)(s + 4)(s + 8)/(s + 2)(s – 5)b)s...
Understanding Immittance Functions
Immittance functions are crucial in electrical engineering as they describe the relationship between voltage and current in a circuit. A valid immittance function must satisfy specific criteria, primarily involving the stability and causality of the system.
Criteria for Validity
- Stability: The poles of the function must lie in the left half of the s-plane for the system to be stable.
- Causality: A causal system has a real part of the poles that are negative.
Analyzing Option D
Let's evaluate option D to understand why it is a valid immittance function:
- Function: s(s + 2)(s + 6) / (s + 1)(s + 4)
- Poles: The poles are found in the denominator:
- s + 1 = 0 → s = -1 (left half-plane)
- s + 4 = 0 → s = -4 (left half-plane)
- Zeros: The zeros are found in the numerator:
- s = 0, -2, -6 (all in left half-plane)
Stability Assessment
- All poles (-1 and -4) are located in the left half-plane, indicating that the system is stable.
Causality Check
- The function is causal since it is a proper rational function where the degree of the numerator is equal to or less than that of the denominator.
Conclusion
Given that option D meets all necessary criteria for stability and causality, it is indeed a valid immittance function. Other options either have poles in the right half-plane or do not meet the stability condition, making D the correct choice.
Immittance functions are crucial in electrical engineering as they describe the relationship between voltage and current in a circuit. A valid immittance function must satisfy specific criteria, primarily involving the stability and causality of the system.
Criteria for Validity
- Stability: The poles of the function must lie in the left half of the s-plane for the system to be stable.
- Causality: A causal system has a real part of the poles that are negative.
Analyzing Option D
Let's evaluate option D to understand why it is a valid immittance function:
- Function: s(s + 2)(s + 6) / (s + 1)(s + 4)
- Poles: The poles are found in the denominator:
- s + 1 = 0 → s = -1 (left half-plane)
- s + 4 = 0 → s = -4 (left half-plane)
- Zeros: The zeros are found in the numerator:
- s = 0, -2, -6 (all in left half-plane)
Stability Assessment
- All poles (-1 and -4) are located in the left half-plane, indicating that the system is stable.
Causality Check
- The function is causal since it is a proper rational function where the degree of the numerator is equal to or less than that of the denominator.
Conclusion
Given that option D meets all necessary criteria for stability and causality, it is indeed a valid immittance function. Other options either have poles in the right half-plane or do not meet the stability condition, making D the correct choice.
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A valid immittance function isa)(s + 4)(s + 8)/(s + 2)(s – 5)b)s(s + 1)/(s + 2)(s + 5)c)s(s + 2)(s + 3)/(s + 1)(s + 4)d)s(s + 2)(s + 6)/(s + 1)(s + 4)Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A valid immittance function isa)(s + 4)(s + 8)/(s + 2)(s – 5)b)s(s + 1)/(s + 2)(s + 5)c)s(s + 2)(s + 3)/(s + 1)(s + 4)d)s(s + 2)(s + 6)/(s + 1)(s + 4)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A valid immittance function isa)(s + 4)(s + 8)/(s + 2)(s – 5)b)s(s + 1)/(s + 2)(s + 5)c)s(s + 2)(s + 3)/(s + 1)(s + 4)d)s(s + 2)(s + 6)/(s + 1)(s + 4)Correct answer is option 'D'. Can you explain this answer?.
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