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Consider the admittance function, Y(s)=((2s^2+16s+30))/(s^2+6s+8). Determine the value of R1 after performing the second form of Foster method.

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Consider the admittance function, Y(s)=((2s^2+16s+30))/(s^2+6s+8). Determine the value of R1 after performing the second form of Foster method.

(a) 4/3

(b) 3/3

(c) 2/3

(d) 1/3

I have been asked this question in an interview.

Enquiry is from Synthesis of R-L Network by the Foster Method in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

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Correct option is (c) 2/3

Easiest explanation: R1 = 2/P1 and as P1 is  3, the value of R1 is 2/3Ω.

R1 = 2/3Ω.

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