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

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

W/m² to dB IL calculator

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

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Result

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

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

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

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

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).

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

How to 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.

Formula

dB IL = 10 × log₁₀(W/m² ÷ 1e-12)

Examples

  • 1e-12 W/m² = 10 × log₁₀(1e-12 ÷ 1e-12) = 0 dB IL
  • 0.001 W/m² = 10 × log₁₀(0.001 ÷ 1e-12) = 90 dB IL
  • 1 W/m² = 10 × log₁₀(1 ÷ 1e-12) = 120 dB IL

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

Watt per square meter to Decibel IL (re 1 pW/m²)
Watt per square meter (W/m²)Decibel IL (re 1 pW/m²) (dB IL)
1e-12 W/m²0 dB IL
1e-9 W/m²30 dB IL
1e-6 W/m²60 dB IL
1e-3 W/m²90 dB IL
0.01 W/m²100 dB IL
0.1 W/m²110 dB IL
1 W/m²120 dB IL
10 W/m²130 dB IL
100 W/m²140 dB IL

Values rounded to 10 significant digits where needed.

Frequently asked questions

What is 1e-12 W/m² in dB IL?
1e-12 W/m² is 0 dB 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.
How do I 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. The formula is W/m² = 1e-12 × 10^(dB IL ÷ 10).
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.