Sound intensity and level

β = 10 log₁₀(I/I₀) with I₀ = 10⁻¹² W/m².

Calculator

Model / formula

β = 10 log₁₀(I/I₀), I₀ = 10⁻¹² W/m²

Mode

I (W/m²)

Result

β = 60.0000 dB (I₀ = 10⁻¹² W/m²)

I₀ is the common reference for sound in air.

Educational use only. Check signs, units, and modeling assumptions (e.g. flat Earth g, no air resistance unless stated).