EC > GATE 2024 > Frequency Response Analysis
In the context of Bode magnitude plots, 40 dB/decade is the same as
Correct : A
The correct answer is Option A: 12 dB/octave.
The key here is knowing the relationship between a decade and an octave. A decade means a 10x change in frequency, while an octave means a 2x change.
So 1 decade = log2(10) ≈ 3.32 octaves.
To convert 40 dB/decade to dB/octave:
40 ÷ 3.32 ≈ 12 dB/octave
As a quick rule to remember — 20 dB/decade = 6 dB/octave, so 40 dB/decade = 12 dB/octave. Simply double it.
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