Question

The coefficients of the polynomials P (S) and Q (S) in the network function N (S) are ________ for passive network.

(a) real and positive

(b) real and negative

(c) complex and positive

(d) complex and negative

I had been asked this question in class test.

Origin of the question is Poles and Zeros of Network Functions topic in division S-Domain Analysis of Network Theory

Answer 1

The correct choice is (a) real and positive

To explain: The coefficients of the polynomials P (S) and Q (S) in the network function N (S) are real and positive for passive network. On factorising the network function we obtain the poles and zeros.