How to convert microwatts per square centimeter to decibels
dB SIL = 10 × log₁₀(µW/cm² × 10,000,000,000)Express the quantity as a ratio to the reference level, take the base-10 logarithm, then multiply by 10.
Worked examples
- 1 microwatt per square centimeter1 µW/cm² → 100 dB SIL
- 5 microwatts per square centimeter5 µW/cm² → 106.9897 dB SIL
- 10 microwatts per square centimeter10 µW/cm² → 110 dB SIL
- 20 microwatts per square centimeter20 µW/cm² → 113.0103 dB SIL
- 100 microwatts per square centimeter100 µW/cm² → 120 dB SIL
Microwatts per square centimeter to decibels conversion table
Values are calculated by the conversion engine using the full formula and rounded to 8 significant figures.
| Microwatts per square centimeter (µW/cm²) | Decibels (dB SIL) |
|---|---|
| 0.1 µW/cm² | 90 dB SIL |
| 0.25 µW/cm² | 93.9794 dB SIL |
| 0.5 µW/cm² | 96.9897 dB SIL |
| 1 µW/cm² | 100 dB SIL |
| 2 µW/cm² | 103.0103 dB SIL |
| 3 µW/cm² | 104.77121 dB SIL |
| 4 µW/cm² | 106.0206 dB SIL |
| 5 µW/cm² | 106.9897 dB SIL |
| 6 µW/cm² | 107.78151 dB SIL |
| 7 µW/cm² | 108.45098 dB SIL |
| 8 µW/cm² | 109.0309 dB SIL |
| 9 µW/cm² | 109.54243 dB SIL |
| 10 µW/cm² | 110 dB SIL |
| Microwatts per square centimeter (µW/cm²) | Decibels (dB SIL) |
|---|---|
| 12 µW/cm² | 110.79181 dB SIL |
| 15 µW/cm² | 111.76091 dB SIL |
| 20 µW/cm² | 113.0103 dB SIL |
| 25 µW/cm² | 113.9794 dB SIL |
| 30 µW/cm² | 114.77121 dB SIL |
| 40 µW/cm² | 116.0206 dB SIL |
| 50 µW/cm² | 116.9897 dB SIL |
| 75 µW/cm² | 118.75061 dB SIL |
| 100 µW/cm² | 120 dB SIL |
| 250 µW/cm² | 123.9794 dB SIL |
| 500 µW/cm² | 126.9897 dB SIL |
| 1,000 µW/cm² | 130 dB SIL |
About the units
Microwatt per square centimeter (µW/cm²)
The microwatt per square centimeter (µW/cm²) is a unit of sound intensity level in the International System of Units (SI). One microwatt per square centimeter equals 0.01 watts per square meter (W/m²).
Decibel (dB SIL)
The decibel (dB SIL) is a unit of sound intensity level. It is a logarithmic level: 0 dB SIL corresponds to 1×10⁻¹² W/m².
Frequently asked questions
What is the formula to convert microwatts per square centimeter to decibels?
dB SIL = 10 × log₁₀(µW/cm² × 10,000,000,000). Express the quantity as a ratio to the reference level, take the base-10 logarithm, then multiply by 10.
What is 5 microwatts per square centimeter in decibels?
5 µW/cm² = 106.9897 dB SIL.
Is this µW/cm² to dB SIL converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.