Question

the sound level from one loud speaker is 100 dB. the sound level from a second loudspeaker is also 100 dB. what is the sound level when both are on at the same time?1)93 dB(A)2)200 dB3)93 dB

Answer 1

Answer:

103.01 dB

Explanation:

To add the sound level of two speakers, we need to use the following formula

$10\log (10^{\frac{x}{10}}+10^{\frac{y}{10}})$

Where x and y are the decibels of the speakers. So, replacing x and y by 100 dB, we get:

$\begin{gathered} 10\log (10^{\frac{100}{10}}+10^{\frac{100}{10}}) \\ 10\log (10^{10}+10^{10}_{}) \\ 103.01 \end{gathered}$

The sound level when both are on at the same time is 103.01 dB