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root mean square (physics)

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root mean square

Measure of the effective magnitude of a cyclic or randomly varying quantity whose average value is zero. For a cyclic quantity, it is equal to the square root of the average of the squares of the quantity at each instant over a complete cycle; where the variation is a sine wave, the rms value is equal to the peak value divided by √2. In electrical engineering, for example, the rms value of the current or voltage in an AC circuit is used in power calculations. The rms value is also used as a measure of the amplitude of randomly varying quantities, such as the noise in a telecommunications channel.



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