The GATE Grind

GATE 2024 BM – Question 23

Signals and Systems · Digital Filters · 1 mark · Multiple choice

The shown asymptotic Bode magnitude of a second-order low-pass filter has its corner at 1 kHz and DC gain 0 dB. At what frequency is attenuation 80 dB?

Diagram for GATE 2024 BM question 23
  1. 10 kHz
  2. 10 MHz
  3. 100 kHz
  4. 100 MHz

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Show answer and explanation

Correct answer: (C) 100 kHz

Explanation

A second-order low-pass asymptote decreases by forty dB per decade beyond its corner. Eighty dB therefore requires two decades, a frequency factor of one hundred. Starting from one kHz gives one hundred kHz, C.

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