Loudness Distance Calculator

Calculate Loudness at a New Distance (L2)





Formula

The formula to calculate the Loudness at a New Distance (L2) is:

\[ L_{2} = \frac{L_{1}}{\left(\frac{d_{2}}{d_{1}}\right)^{2}} \]

Where:

Definition

Example

Let's say the original loudness (L1) is 80 dB, the original distance (d1) is 2 meters, and the new distance (d2) is 4 meters. Using the formula:

\[ L_{2} = \frac{80}{\left(\frac{4}{2}\right)^{2}} = \frac{80}{4} = 20 \]

So, the Loudness at the New Distance (L2) is 20 dB.