The GATE Grind

GATE 2024 EC – Question 12

Control Systems · Bode and Root-Locus Plots · 1 mark · Multiple choice

In the context of Bode magnitude plots, 40 dB/decade is the same as ________.

  1. 12 dB/octave
  2. 6 dB/octave
  3. 20 dB/octave
  4. 10 dB/octave

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Correct answer: (A) 12 dB/octave

Explanation

One octave is a factor of 2 in frequency, and one decade is a factor of 10. A slope of 40 dB/decade gives $40\log_{10}2\approx12$ dB per octave.