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When s is real, the driving point impedance function is _________ function and the driving point...

When s is real, the driving point impedance function is _ function and the driving point admittance function is _ function.

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asked Jul 27, 2021 in Network Theory by Noah (157k points)

When s is real, the driving point impedance function is _________ function and the driving point admittance function is _________ function.

(a) real, complex

(b) real, real

(c) complex, real

(d) complex, complex

The question was posed to me in unit test.

This intriguing question comes from Hurwitz Polynomials topic in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

network theory
elements of realizability and synthesis of one-port networks
hurwitz polynomials

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1 Answer

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answered Jul 28, 2021 by Jayden (1.1m points)
selected Jul 31, 2021 by Noah

Best answer

The correct answer is (b) real, real

Easiest explanation: When s is real, the driving point impedance function is real function and the driving point admittance function is real function because the quotients of the polynomials P(s) and Q(s) are real. When Z(s) is determined from the impedances of the individual branches, the quotients are obtained by adding together, multiplying or dividing the branch parameters which are real.

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