Question

For the complex zeros to appear in conjugate pairs the poles of the network function are ____ and zeros of the network function are ____________

(a) complex, complex

(b) complex, real

(c) real, real

(d) real, complex

I had been asked this question by my college director while I was bunking the class.

I'm obligated to ask this question of Hurwitz Polynomials topic in division Elements of Realizability and Synthesis of One-Port Networks of Network Theory

Answer 1

Right choice is (c) real, real

The best explanation: P(s) and Q(s) are real when s is real. So the poles of the network function are real and zeros of the network function are real, the complex zeros to appear in conjugate pairs.