Question

The value of resonant frequency in the m-derived low pass filter is?

(a) fr=1/(√(LC(1+m^2)))

(b) fr=1/(√(πLC(1+m^2)))

(c) fr=1/(√(LC(1-m^2)))

(d) fr=1/(√(πLC(1-m^2)))

This question was posed to me in unit test.

I would like to ask this question from m-Derived T-Section topic in division Filters and Attenuators of Network Theory

Answer 1

Correct choice is (d) fr=1/(√(πLC(1-m^2)))

To explain I would say: ωr^2 = 1/(LC(1-m^2)). So the value of resonant frequency in the m-derived low pass filter is fr=1/√(πLC(1-m^2)).