Physics

Sound Intensity Decibel Calculator

Sound level in decibels from intensity or distance.

Enter your values

Enter the source power in W.

Enter the distance from source in m.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

Results
Sound level
95 dB
Intensity
3.183e-3 W/m²
Distance
5 m

Quick answer

Sound level (dB) = 10 x log10(I / I0), with I0 = 1e-12 W/m^2.

L = 10 log10(I/I0)

At a glance

What it doesSound level in decibels from intensity or distance.
CategoryPhysics
Inputs neededSource power, Distance from source
Main outputSound level
FormulaL = 10 log10(I/I0)
CostFree — no sign-up, no download

How to use the Sound Intensity Decibel Calculator

  1. 1Enter the acoustic power of the source and the listening distance.
  2. 2The calculator spreads the power over a sphere to get intensity, then converts to decibels.
  3. 3Compare the result against common reference levels (60 dB conversation, 120 dB pain threshold).

Inputs explained

Source power(W)
Enter the source power in W.
Distance from source(m)
Enter the distance from source in m.

Worked example

Using the values the calculator loads with:

Inputs

  • Source power1 W
  • Distance from source5 m

Results

  • Sound level95 dB
  • Intensity3.183e-3 W/m²
  • Distance5 m

Frequently asked questions

Why does doubling distance drop the level by 6 dB?

Intensity falls with the square of distance, and each doubling of intensity is about 3 dB, so distance doubling is about 6 dB.

Is this the same as loudness?

Decibels measure physical intensity; perceived loudness also depends on frequency and human hearing sensitivity.

What do I need to enter into the Sound Intensity Decibel Calculator?

Just 2 values: source power, distance from source. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Sound Intensity Decibel Calculator work out the answer?

Sound level (dB) = 10 x log10(I / I0), with I0 = 1e-12 W/m^2. It applies the formula L = 10 log10(I/I0) and shows the working so you can check each step by hand.

Is the Sound Intensity Decibel Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.