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Decibel Sum Calculator

Add two sound pressure levels L = 10 log₁₀(10^{L₁/10}+10^{L₂/10}).

Input Data

Input Level L₁.
dB
Input Level L₂.
dB

Results

83.0103dB
L = 10 log₁₀(10^{L₁/10}+10^{L₂/10}) = 83.0103 dB

At a glance:Decibel Sum Calculator: enter parameters to compute results; complements related calculators.

Formula

L = 10 log₁₀(10^{L₁/10} + 10^{L₂/10})

decibels are logarithmic; never add linearly

How to Use

  1. Enter two levels L₁, L₂ (dB).
  2. Get the energy-summed total level.

Case Studies

Two 80 dB sources

L = 80 + 10log₁₀2 ≈ 83.0 dB (not 160 dB).

FAQ

Equal sources?

Total = single + 3.01 dB (energy doubles).

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Decibel Sum Calculator/physics/decibel-sum)。