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why the cutoff frequency is taken for 3dB and not other
values like 1 or 2 db???

Answer Posted / shivani

Cutoff frequency is the frequency at which GAIN is reduced
to (1/2)^0.5 of its midband value.
And if we find the gain in dB then it will be equql to 3dB.
Gain(db) = 20log(1/1.41)=3dB

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