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Acoustics
Amplifier power & distance
Estimate the electrical power needed by one speaker to reach a target level at a given distance.
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The calculation
P = 10^[(Ltarget − Sensitivity + 20 log₁₀(d)) / 10] Vrms = √(P × R) d in metres, referenced to 1 m
Assumptions & limits
Use a sensitivity figure appropriate to the frequency range of interest. This estimates demand, not the speaker’s safe power handling or attainable maximum SPL.
Background: Sound · OpenStax University Physics
