Question

If the number of poles (m) are greater than the number of zeros (n), then there will be _________ number of zeros at s = ∞.

(a) m+n

(b) m-n

(c) m

(d) n

This question was addressed to me in semester exam.

Query is from Poles and Zeros of Network Functions topic in section S-Domain Analysis of Network Theory

Answer 1

Correct answer is (b) m-n

For explanation I would say: If the number of poles (m) are greater than the number of zeros (n), then there will be (m-n) number of zeros at s = ∞ and to obtain (m-n) poles at s = ∞ the condition is m>n.