Relation of dB/decade & dB/octave

Q.  The rate of -20 dB/decade is almost equivalent to __________
- Published on 23 Sep 15

a. -4 dB/octave
b. -6 dB/octave
c. -8 dB/octave
d. -10 dB/octave

ANSWER: -6 dB/octave

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    Discussion

  • Satyawati   -Posted on 29 Sep 15
    During the analysis of frequency response of an amplifier, voltage gain roll off is expressed in dB/octave instead of dB/decade. Generally, the reduction in gain in low frequency region occurs at the rate of 20 dB/decade.

    But,according to the concept of octaves, several considerations are taken into account.

    Since the value of 1 octave corresponds to either doubling or halving of a frequency, the range of 20 Hz to 40 Hz corresponds to 1 octave while the range of 40Hz to 80Hz belongs to the other octave & so on.

    Under this consideration, it is obvious that the rate of -20 dB/decade is approximately equivalent to -6 dB/octave.

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