The decibel (dB) is defined as , where P₂ is the power of a particular signal and P₁is the power of some reference signal.In the case of sounds, the reference signal is a sound level that is just barely audible.How many dBs does a sound have if its power is 5500 times that of the reference sound? Round to the nearest tenth. A) 86.1 dB B) 37.4 dB C) 16.2 dB D) 10.0 dB E) 0.0 dB

Question

Quizplus · Accepted Answer

The formula for dB is: 
dB = 10 log(P/Pr)
where P is the power of the signal and Pr is the reference power.
In this case, the signal power is 5500 times the reference power. So:
dB = 10 log(5500)
dB = 37.4 (rounded to the nearest tenth)
Therefore, the answer is choice B.

The Decibel (DB) Is Defined as , Where P2

The Decibel (DB) Is Defined as , Where P₂