Enter the sensitivity of the speaker and the power applied to it into the calculator to determine the speaker’s output in decibels. This calculator helps in estimating the loudness of a speaker given its efficiency and the power it receives.
Speaker Output Formula
The following formula is used to calculate the speaker output.
O = S + 10 * log<sub>10</sub>(P)
Variables:
- O is the output of the speaker (decibels)
- S is the sensitivity of the speaker (dB/W/m)
- P is the power applied to the speaker (Watts)
To calculate the speaker output, add the sensitivity of the speaker to the product of 10 and the logarithm base 10 of the power applied to the speaker.
What is Speaker Output?
Speaker output is a measure of how loud a speaker can produce sound at a given power level. It is typically measured in decibels (dB) and is influenced by the speaker’s sensitivity and the power it receives. Sensitivity is a measure of the efficiency of a speaker in converting power into sound and is usually specified in dB/W/m (decibels per watt per meter). The higher the sensitivity, the louder the speaker will be for a given amount of power.
How to Calculate Speaker Output?
The following steps outline how to calculate the Speaker Output.
- First, determine the sensitivity of the speaker (S) in dB/W/m.
- Next, determine the power applied to the speaker (P) in Watts.
- Next, gather the formula from above = O = S + 10 * log10(P).
- Finally, calculate the Speaker Output (O) in decibels.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Sensitivity of the speaker (S) = 88 dB/W/m
Power applied to the speaker (P) = 50 Watts
