Question

A transfer function has two zeros at infinity. Then the relation between the numerator degree (N) and the denominator degree (M) of the transfer function is:

• A. N = M + 2
• B. N = M - 2
• C. N = M + 1
• D. N = M - 1

Hint:

Each zero at infinity increases the numerator’s degree by 1 over the denominator.

Answer 1

The Correct Option is C

Two zeros at infinity imply the transfer function behaves like a high-pass system, with the numerator having higher degree than the denominator by 1. In Laplace domain, zeros at infinity increase the degree of the numerator relative to the denominator. Thus, \[ N = M + 1 \]