Question

A network either T or π, is said to be of the constant-k type if Z1 and Z2 of the network satisfies the relation?

(a) Z1Z2 = k

(b) Z1Z2 = k^2

(c) Z1Z2 = k^3

(d) Z1Z2 = k^4

This question was addressed to me in quiz.

I need to ask this question from Constant-K Low Pass Filter topic in section Filters and Attenuators of Network Theory

Answer 1

Correct option is (b) Z1Z2 = k^2

To elaborate: Z1,Z2 are inverse if their product is a constant, independent of frequency, k is real constant, that is the resistance. k is often termed as design impedance or nominal impedance of the constant k-filter.