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Decibel IL (re 1 pW/m²) to Watt per square meter Converter

0 dB IL is 1e-12 W/m². Convert decibels IL (dB IL) to watts per square meter (W/m²) below: type a value and the result updates as you type.

dB IL to W/m² calculator

Dot or comma decimals and scientific notation (1e-3) work.

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Result

Decibel IL (re 1 pW/m²) to Watt per square meter conversion

1 dB IL ≈ 1.258925412e-12 W/m²one decibel IL in watts per square meter

1 W/m² = 120 dB ILone watt per square meter in decibels IL

Decibel IL (re 1 pW/m²) (dB IL): Sound intensity level: 10 times the base-10 logarithm of the sound intensity divided by the reference intensity of 1 pW/m² (10⁻¹² W/m²).

Watt per square meter (W/m²): SI unit of heat flux density and irradiance. Full sunlight at ground level is roughly 1000 W/m².

Source:Decibel IL (re 1 pW/m²): ISO 1683:2015, Acoustics: Preferred reference values for acoustical and vibratory levels; Watt per square meter: SI Brochure, 9th edition (BIPM, 2019)

How to convert decibels IL to watts per square meter

To convert decibels IL to watts per square meter, divide the level by 10, raise 10 to that power, then multiply by 1e-12.

Formula

W/m² = 1e-12 × 10^(dB IL ÷ 10)

Examples

  • 0 dB IL = 1e-12 × 10^(0 ÷ 10) = 1e-12 W/m²
  • 60 dB IL = 1e-12 × 10^(60 ÷ 10) = 0.000001 W/m²
  • 120 dB IL = 1e-12 × 10^(120 ÷ 10) = 1 W/m²

Decibel IL (re 1 pW/m²) to Watt per square meter conversion table

Decibel IL (re 1 pW/m²) to Watt per square meter
Decibel IL (re 1 pW/m²) (dB IL)Watt per square meter (W/m²)
0 dB IL1e-12 W/m²
10 dB IL1e-11 W/m²
20 dB IL1e-10 W/m²
30 dB IL1e-9 W/m²
40 dB IL1e-8 W/m²
50 dB IL1e-7 W/m²
60 dB IL0.000001 W/m²
70 dB IL0.00001 W/m²
80 dB IL0.0001 W/m²
90 dB IL0.001 W/m²
100 dB IL0.01 W/m²
110 dB IL0.1 W/m²
120 dB IL1 W/m²

Values rounded to 10 significant digits where needed.

Frequently asked questions

What is 0 dB IL in W/m²?
0 dB IL is 1e-12 W/m². To convert decibels IL to watts per square meter, divide the level by 10, raise 10 to that power, then multiply by 1e-12.
How do I convert watts per square meter to decibels IL?
To convert watts per square meter to decibels IL, divide the amount by 1e-12, take the base-10 logarithm, then multiply by 10. The formula is dB IL = 10 × log₁₀(W/m² ÷ 1e-12).
Is this conversion exact?
Yes. Both units have exact definitions and the factor 1e-12 is exact. Displayed results are only rounded when they have many decimal places.