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The network function (s2 + 8s +15)/(s2 + 6s + 8) is
- a)RL admittance
- b)RC admittance
- c)LC admittance
- d)All of the mentioned
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The network function (s2+ 8s +15)/(s2+ 6s + 8) isa)RL admittanceb)RC a...
The singularity nearest to origin is a pole. So it may be a RL admittance or RC impedance function.
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The network function (s2+ 8s +15)/(s2+ 6s + 8) isa)RL admittanceb)RC a...
Network Function:
The given network function is represented as:
H(s) = (s^2 + 8s + 15) / (s^2 + 6s + 8)
Where s is the complex variable representing the Laplace domain.
Admittance:
Admittance is the reciprocal of impedance. It is a measure of how easily a circuit allows current to flow through it. Admittance is denoted by Y and is defined as Y = 1/Z, where Z is the impedance.
There are three types of admittance - RL admittance, RC admittance, and LC admittance.
- RL Admittance: Indicates a circuit composed of a resistor and an inductor.
- RC Admittance: Indicates a circuit composed of a resistor and a capacitor.
- LC Admittance: Indicates a circuit composed of an inductor and a capacitor.
Analysis:
To determine the type of admittance, we need to analyze the given network function.
The network function H(s) = (s^2 + 8s + 15) / (s^2 + 6s + 8) can be rewritten as:
H(s) = ((s + 3)(s + 5)) / ((s + 4)(s + 2))
From the given expression, we can observe that the network function contains only the terms (s + 3), (s + 5), (s + 4), and (s + 2).
Conclusion:
From the analysis, we can conclude that the given network function represents a combination of RL admittance.
Therefore, the correct answer is option 'A' - RL admittance.
The given network function is represented as:
H(s) = (s^2 + 8s + 15) / (s^2 + 6s + 8)
Where s is the complex variable representing the Laplace domain.
Admittance:
Admittance is the reciprocal of impedance. It is a measure of how easily a circuit allows current to flow through it. Admittance is denoted by Y and is defined as Y = 1/Z, where Z is the impedance.
There are three types of admittance - RL admittance, RC admittance, and LC admittance.
- RL Admittance: Indicates a circuit composed of a resistor and an inductor.
- RC Admittance: Indicates a circuit composed of a resistor and a capacitor.
- LC Admittance: Indicates a circuit composed of an inductor and a capacitor.
Analysis:
To determine the type of admittance, we need to analyze the given network function.
The network function H(s) = (s^2 + 8s + 15) / (s^2 + 6s + 8) can be rewritten as:
H(s) = ((s + 3)(s + 5)) / ((s + 4)(s + 2))
From the given expression, we can observe that the network function contains only the terms (s + 3), (s + 5), (s + 4), and (s + 2).
Conclusion:
From the analysis, we can conclude that the given network function represents a combination of RL admittance.
Therefore, the correct answer is option 'A' - RL admittance.
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The network function (s2+ 8s +15)/(s2+ 6s + 8) isa)RL admittanceb)RC admittancec)LC admittanced)All of the mentionedCorrect answer is option 'A'. Can you explain this answer?
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