Decibel Rule Calculator

This calculator helps you understand how sound levels change with distance using the inverse square law

Input Parameters

Calculation Results

Calculation Formula

Decibel reduction using inverse square law:

ΔL = 10 * log₁₀(r₁²/r₂²)
Where:
ΔL = decibel reduction
r₁ = initial distance (m)
r₂ = final distance (m)

Decibel Rule Calculator Usage Guide

Learn how to use the Decibel Rule Calculator and understand the inverse square law

How to Use This Calculator

  1. Enter the initial sound level in decibels (dB)
  2. Enter the initial distance from the sound source in meters
  3. Enter the final distance from the sound source in meters (must be greater than the initial distance)
  4. Click the "Calculate" button to see the decibel reduction and final sound level

The Inverse Square Law

The inverse square law states that the intensity of a sound wave decreases with the square of the distance from the source. This means if you double the distance from a sound source, the sound level will decrease by approximately 6 decibels.

Example

If a sound is 80 dB at 1 meter, what will be the sound level at 10 meters?

  1. Initial Decibel: 80 dB
  2. Initial Distance: 1 meter
  3. Final Distance: 10 meters
  4. Calculation: ΔL = 10 * log₁₀(1²/10²) = 10 * log₁₀(0.01) = -20 dB
  5. Final Decibel: 80 dB - 20 dB = 60 dB

Applications

This calculator is useful in various fields including:

  • Acoustics and noise control
  • Environmental science
  • Architectural design
  • Industrial safety