Question

A driving point impedance with zeros at ω = 0, ω = ∞ must have ___________ term in the numerator polynomial.

(a) s+3

(b) s+2

(c) s+1

(d) s

The question was asked during an internship interview.

I'm obligated to ask this question of Frequency Response of Reactive One-Ports in chapter Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct answer is (d) s

For explanation: As there is a zero at ω = 0, (s-jω)=s. Zeros are written in the numerator of Z(s). So there will be s term in the numerator polynomial in a driving point impedance function Z(s).