The formula to calculate the Decibel Increase (ΔL) is:
\[ \Delta L = 10 \cdot \log_{10}\left(\frac{I_2}{I_1}\right) \]
Where:
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 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:
\[ \Delta L = 10 \cdot \log_{10}\left(\frac{20}{2}\right) = 10 \cdot \log_{10}(10) = 10 \cdot 1 = 10 \text{ dB} \]