Decibel Increase Calculator

Calculate Decibel Increase



Formula

The formula to calculate the Decibel Increase (ΔL) is:

\[ \Delta L = 10 \cdot \log_{10}\left(\frac{I_2}{I_1}\right) \]

Where:

What is Decibel Increase?

Decibel increase is a measure of the change in sound intensity level, expressed in decibels (dB). It quantifies the difference in perceived loudness or power between two sounds based on their intensities. A decibel is a logarithmic unit that indicates the ratio of a physical quantity relative to a specified or implied reference level. An increase in decibels represents a growth in sound intensity, which often correlates with an increase in loudness as perceived by the human ear.

Example Calculations

Example 1:

Using the formula:

\[ \Delta L = 10 \cdot \log_{10}\left(\frac{10}{1}\right) = 10 \cdot \log_{10}(10) = 10 \cdot 1 = 10 \text{ dB} \]

Example 2:

Using the formula:

\[ \Delta L = 10 \cdot \log_{10}\left(\frac{20}{2}\right) = 10 \cdot \log_{10}(10) = 10 \cdot 1 = 10 \text{ dB} \]