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Speaker Output Calculator

Formula

The formula to calculate the Speaker Output is:

$O = S + 10 \times \log_{10}(P)$

Where:

$O$ is the output of the speaker in decibels (dB)
$S$ is the sensitivity of the speaker in dB/W/m
$P$ is the power applied to the speaker in Watts

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.

Example Calculation 1

Let's assume the following values:

Speaker Sensitivity (S) = 90 dB/W/m
Power Applied to the Speaker (P) = 50 Watts

Using the formula:

$O = 90 + 10 \times \log_{10}(50) = 90 + 10 \times 1.70 = 107 \text{ dB}$

The Speaker Output is 107 dB.

Example Calculation 2

Let's assume the following values:

Speaker Sensitivity (S) = 85 dB/W/m
Power Applied to the Speaker (P) = 100 Watts

Using the formula:

$O = 85 + 10 \times \log_{10}(100) = 85 + 10 \times 2 = 105 \text{ dB}$

The Speaker Output is 105 dB.