Question

Based on the location of zeros and poles, a reactive one-port can have ____________ types of frequency response.

(a) 1

(b) 2

(c) 3

(d) 4

I had been asked this question in a job interview.

Query is from Frequency Response of Reactive One-Ports in division Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Correct choice is (d) 4

To explain I would say: A reactive one-port can have four types of frequency response based on the location of zeros and poles.

(i) frequency response with two external poles

(ii) frequency response with two external zeros

(iii) frequency response with an external zero ω = 0 and an external poles at ω = ∞

(iv) frequency response with an external zero ω = ∞ and an external poles at ω = 0.