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The network function (3s^2 + 8s)/(s + 1)(s + 3) represents

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The network function (3s^2 + 8s)/(s + 1)(s + 3) represents

(a) RC impedance

(b) RL impedance

(c) LC impedance

(d) None of the mentioned

I had been asked this question in my homework.

This is a very interesting question from Circuit analysis in S domain topic in chapter EDC Overview of Electronic Devices & Circuits

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Best answer
The correct option is (c) LC impedance

To explain: The singularity nearest to origin is a zero. So it may be RL impedance or RC admittance function. Because of (D) option it is required to check that it is a valid RC admittance function. The poles and zeros interlace along the negative real axis. The residue of Yrc(s)/s is positive.

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