Enter the base intensity and the compared intensity into the calculator to determine the decibel difference. This calculator helps to compare the intensity levels of two different sounds.

## Decibel Difference Formula

The following formula is used to calculate the decibel difference between two sound intensities.

ΔL = 10 * log₁₀(I₁ / I₀)

Variables:

• ΔL is the decibel difference (dB)
• I₁ is the compared intensity (W/m²)
• I₀ is the base intensity (W/m²)

To calculate the decibel difference, multiply 10 by the logarithm base 10 of the ratio of the compared intensity to the base intensity.

## What is Decibel Difference?

Decibel difference is a logarithmic measure of the ratio of two sound intensities. It is used to express the relative difference in power or intensity between two sounds. The decibel scale is a convenient way to represent large variations in intensity, as it compresses the scale of numbers into a more manageable range. This measure is widely used in acoustics, audio engineering, and other fields where sound intensity needs to be compared or monitored.

## How to Calculate Decibel Difference?

The following steps outline how to calculate the Decibel Difference.

1. First, determine the base intensity (I₀) in watts per square meter (W/m²).
2. Next, determine the compared intensity (I₁) in watts per square meter (W/m²).
3. Next, gather the formula from above = ΔL = 10 * log₁₀(I₁ / I₀).
4. Finally, calculate the Decibel Difference (ΔL) in decibels (dB).
5. 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.

base intensity (I₀) = 1e-12 W/m² (threshold of hearing)

compared intensity (I₁) = 1e-6 W/m² (average conversation)