Question

A driving point impedance with pole at ω = 0 and zero at ω = ∞ must have ____________ term in the numerator and denominator.

(a) s^1+ωn^2

(b) s^2+ωn^2

(c) s^1+ωn^1

(d) s^2+ωn^1

This question was posed to me by my college professor while I was bunking the class.

This question is from Frequency Response of Reactive One-Ports in portion Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct answer is (b) s^2+ωn^2

To elaborate: If a pole at ω = 0 and zero at ω = ∞, the one-port will block the direct current and pass the alternating current of an infinitely high frequency.