Each 10 dB of level requires ten times the amplifier power

Evidence

The column at the far right of Figure 9.3 is an estimate of the amplifier power needed to deliver various sound levels in a typical room. Obviously, this is fundamentally dependent on loudspeaker sensitivity, how many are operating, the frequencies being radiated, and the acoustical properties of the room. In spite of these uncertainties, the relative quantities are correct—the overall vertical scale may slide up or down by a few dB. This is shown to give an appreciation for the reality that a 3 dB change in sound level requires a doubling or halving of power, and a 10 dB change, translates into ten times the power. When one is talking about high sound levels from domestic loudspeakers having typically moderate sensitivity (85–90 dB SPL at 2.83 V at 1 m), one is also talking about very large amounts of power. — Toole, Floyd E, Sound reproduction- the acoustics and…, 894

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Category: Factual Claims

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