An AC circuit has current with the behavior of sine/cosine waves. The peak current root-mean-square implies.
If one takes the average over time of the squared
current, one gets the peak current squared times the
average of the sine function:The average of sin2 is
a half, thus the square root of the average squared
current comes out to be 1/sqrt(2) times the peak. This is
somewhat useful when considering such quantities as the
power in a resistor which go as )t^{2},
thus if one uses the r.m.s. value of the current one
obtains the average power. Many quantities are quadratic
in the current.RWhen one refers to the
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