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The heating effect in the resistor depends on the magnitude of according to the formula of power which is given as
where is the resistance of the resistor.
Therefore, since the square of any non-zero number is always positive, an alternating current with a mean value of zero will give rise to a heating effect in a resistor.
By reference to heating effect, the root-mean-square (r.m.s.) value of an alternating current is the direct current that produces the same heating effect as the alternating current.
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according to the formula of power which is given as
is the resistance of the resistor.
