Why 3 dB?

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And it is only part of why it is chosen as the cutoff frequency as opposed to any randomly selected fraction. 3db is the smallest increase/decrease in volume which can normally be perceived by the ear. So everything within a 3db band, sound equaly loud (provided you had totaly flat hearing :p).
 
And it is only part of why it is chosen as the cutoff frequency as opposed to any randomly selected fraction. 3db is the smallest increase/decrease in volume which can normally be perceived by the ear. So everything within a 3db band, sound equaly loud (provided you had totaly flat hearing :p).

This is the answer I gave in a very early interview, but unfortunately all the other things like half peak power and all the other explanations are known to many, which I think r not correct. If they r correct, why should it be not be specified at any other arbitrary power level.

Gajanan Phadte
 
It is correct to say that -3dB is half power. The issue then becomes "why choose half power"? It is a nice round number, and in many circumstances is the minimum which will be easily noticeable. It also emerges from the theory of single-pole (or first-order) filters: -3dB is the point where the angular frequency is equal to 1/CR, and the phase is 45 degrees. For most amplifiers the frequency limits are defined primarily by first-order filters.
 
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