Question

The resonant frequency of m-derived low pass filter in terms of the cut-off frequency of low pass filter is?

(a) fc/√(1-m^2)

(b) fc/√(1+m^2)

(c) fc/(π√(1-m^2))

(d) fc/(π√(1+m^2))

I got this question by my college professor while I was bunking the class.

The query is from m-Derived T-Section in division Filters and Attenuators of Network Theory

Answer 1

The correct option is (a) fc/√(1-m^2)

To explain: If a sharp cut-off is desired, the frequency at infinity should be near to fc. The resonant frequency of m-derived low pass filter in terms of the cut-off frequency of low pass filter is fr=fc/√(1-m^2).