Question

The expression of m of the m-derived low pass filter is?

(a) m=√(1+(fc/fr)^2)

(b) m=√(1+(fc/f)^2)

(c) m=√(1-(fc/fr)^2)

(d) m=√(1-(fc/f)^2)

I had been asked this question in a national level competition.

My question comes from m-Derived T-Section topic in chapter Filters and Attenuators of Network Theory

Answer 1

The correct choice is (c) m=√(1-(fc/fr)^2)

To explain I would say: As fr=fc/√(1-m^2). The expression of m of the m-derived low pass filter is m=√(1-(fc/fr)^2).