Root Mean Square - RMS of Common Waveforms

RMS of Common Waveforms

Waveform Equation RMS
DC, constant
Sine wave
Square wave
Modified square wave
Triangle wave
Sawtooth wave
Pulse train
Notes:
t is time
f is frequency
a is amplitude (peak value)
D is the duty cycle or the percent(%) spent high of the period (1/f)
{r} is the fractional part of r

Waveforms made by summing known simple waveforms have an RMS that is the root of the sum of squares of the component RMS values, if the component waveforms are orthogonal (that is, if the average of the product of one simple waveform with another is zero for all pairs other than a waveform times itself).

RMS_{Total} =
\sqrt {{{RMS_1}^2 + {RMS_2}^2 + \cdots + {RMS_n}^2} }

Read more about this topic:  Root Mean Square

Famous quotes containing the word common:

    Freedom of men under government is to have a standing rule to live by, common to every one of that society, and made by the legislative power vested in it; a liberty to follow my own will in all things, when the rule prescribes not, and not to be subject to the inconstant, unknown, arbitrary will of another man.
    John Locke (1632–1704)