For the circuit given below, the Roll-off value of the filter is _____________(a) 20 dB/decade(b) 40 dB/decade(c) 60 dB/decade(d) 80 dB/decadeThis question was addressed to me at a job interview.Enquiry is from Advanced Problems on Filters in section Filters and Attenuators of Network Theory

For the circuit given below, the Roll-off value of the filter is _____

1.	For the circuit given below, the Roll-off value of the filter is _____________(a) 20 dB/decade(b) 40 dB/decade(c) 60 dB/decade(d) 80 dB/decadeThis question was addressed to me at a job interview.Enquiry is from Advanced Problems on Filters in section Filters and Attenuators of Network Theory
Answer» Right OPTION is (d) 80 dB/decade To explain: The given filter is a first order Band PASS Filter. Also, the Roll-off of the filter is depends upon the order of the filter. For a first order it is 20dB/decade, for second order it is 40dB/decade, and so on. Therefore, the Roll-off of the filter = 20 dB/decade. Roll of first order LOW pass BUTTERWORTH filter is 20dB/decade. Now here two stages of second order Low-pass Butterworth filter are cascaded ∴ Roll-off = 20*4 = 80 dB/decade.

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