Physics · University
Intensity-level difference · formula reference
The ratio is an intensity ratio. Pressure-amplitude ratios use 20 log₁₀ under matched impedance conditions.
Formula
The ratio is an intensity ratio. Pressure-amplitude ratios use 20 log₁₀ under matched impedance conditions.
ΔL = 10 log₁₀(I₂/I₁)
Worked example
Two sound intensities satisfy I₂/I₁ = 117. Calculate L₂ − L₁ in decibels. Round the final result to 4 decimal places if needed. Answer in dB.
Apply 10 log₁₀(117); the reference intensity cancels in the difference.
20.6819 dB
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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