Question

A constant k band pass filter has a pass band from 100 to 400 Hz. The resonant frequency of series and shunt arms is ____________

(a) 300 Hz

(b) 250 Hz

(c) 200 Hz

(d) 150 Hz

I had been asked this question during a job interview.

This interesting question is from Advanced Problems on Application of Laplace Transform in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

The correct answer is (c) 200 Hz

Explanation: We know that,

Resonant frequency of arms in constant k band pass filter = [(fc1)(fc2)]^0.5

Given that, fc1  = 100 Hz and fc2 = 400 Hz

So, Resonant frequency = \(\sqrt{100 X 400}\)

= 200 Hz.