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Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R3 after converting into first Cauer form.

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Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R3 after converting into first Cauer form.

(a) 4

(b) 3

(c) 2

(d) 1

The question was posed to me in quiz.

I need to ask this question from Synthesis of R-L Network by Cauer Method topic in chapter Elements of Realizability and Synthesis of One-Port Networks of Network Theory

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The correct answer is (b) 3

The best explanation: The value of 1/R3 (fourth quotient) obtained by continued fraction expansion 1/3. So the value of R3 is 3Ω.

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