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So, the RMS value, I RMS, of the function I(t) is the constant current that yields the same power dissipation as the time-averaged power dissipation of the current I(t). Average power can also be found using the same method that in the case of a time-varying voltage, V(t), with RMS value V RMS,
The squaring in RMS and the absolute value in ARV mean that both the values and the form factor are independent of the wave function's sign (and thus, the electrical signal's direction) at any point. For this reason, the form factor is the same for a direction-changing wave with a regular average of 0 and its fully rectified version.
The RMS value of an alternating current is also known as its heating value, as it is a voltage which is equivalent to the direct current value that would be required to get the same heating effect. For example, if 120 V AC RMS is applied to a resistive heating element it would heat up by exactly the same amount as if 120 V DC were applied.
A sine wave, over one cycle (360°). The dashed line represents the root mean square (RMS) value at (about 0.707). Below an AC waveform (with no DC component) is assumed. The RMS voltage is the square root of the mean over one cycle of the square of the instantaneous voltage.
A rectifier is an electrical device that converts ... can form a full-wave rectifier. ... The RMS value of the common-mode voltage is calculated from the form factor ...
DC form factor The ratio of the rms value to the mean value averaged over a full period of a periodically varying quantity having a non zero DC component. DC power The product of the direct voltage and the direct current (mean values). DC ripple factor
root mean square The root mean square value of a waveform is the DC value that corresponds to equivalent heating value. rotary converter An electric machine that converts electric power between two forms, say, AC and DC or single-phase and three phase, or between two different frequencies of AC (the latter two can be performed by the same machine).
A non-ideal DC voltage waveform can be viewed as a composite of a constant DC component (offset) with an alternating (AC) voltage—the ripple voltage—overlaid. The ripple component is often small in magnitude relative to the DC component, but in absolute terms, ripple (as in the case of HVDC transmission systems) may be thousands of volts.