Vrms=sqrt[1/T * integral(v^2(t)dt, 0,t]
Irms=sqrt[1/T * integral(i^2(t)dt, 0,t]
RMS power is Peak-To-Peak power divided by the square root of 2.This definition, however, only holds true for a non-reactive, or resistive, load, with a power source that is truly sinusoidal.
excitation voltage is sinusoidal because it is taken from the terminal of alternator but excitation current is non-sinusoidal because it always dc.
You can work this out yourself. For a sinusoidal waveform the rms value is 0.707 times the peak value. As you quote a peak-to-peak value, this must be halved, first. Incidentally, the symbol for volt is 'V', not 'v'.
General formula: square root of the square modulus averaged over a period:xRMS =1/T sqrt( integral (|x(t)|2dt) ) ,where x(t) is the signal and T is its period.If you solve it for sinusoidal waves, you get a 1/sqrt(2)~0.707 factor between peak amplitude and RMS value:xRMS ~ 0.707 XPK ~ 0.354 XPK-PK ~ ...
The peak of a waveform that is purely sinusoidal (no DC offset) will be RMS * sqrt(2). This is the peak to neutral value. If you are looking for peak to peak, multiply by 2.
sinusoidal vs non sinusoidal
RMS power is Peak-To-Peak power divided by the square root of 2.This definition, however, only holds true for a non-reactive, or resistive, load, with a power source that is truly sinusoidal.
excitation voltage is sinusoidal because it is taken from the terminal of alternator but excitation current is non-sinusoidal because it always dc.
You can work this out yourself. For a sinusoidal waveform the rms value is 0.707 times the peak value. As you quote a peak-to-peak value, this must be halved, first. Incidentally, the symbol for volt is 'V', not 'v'.
Hi, RMS is voltage X .707 and the power is voltage X current. Hope that helps, Cubby
General formula: square root of the square modulus averaged over a period:xRMS =1/T sqrt( integral (|x(t)|2dt) ) ,where x(t) is the signal and T is its period.If you solve it for sinusoidal waves, you get a 1/sqrt(2)~0.707 factor between peak amplitude and RMS value:xRMS ~ 0.707 XPK ~ 0.354 XPK-PK ~ ...
The peak of a waveform that is purely sinusoidal (no DC offset) will be RMS * sqrt(2). This is the peak to neutral value. If you are looking for peak to peak, multiply by 2.
used as wave form generators like sinusoidal and non sinusoidal,
The "effective" value of an alternating voltage is generally considered to be the RMS (Root-Mean-Square) value. The best way to measure that is with a True RMS voltmeter. Lacking that, if the voltage is sinusoidal, you can use an older style peak measuring voltmeter that estimates RMS value by dividing internally by the square root of 2. Any other shaped waveform will be measured incorrectly, depending on the amount of deviation from sinusoidal. (Square wave is the best example of error in this case - RMS and peak should be the same, but they won't read the same except on a True RMS voltmeter.)
This figure only applies to sinusoidal waveforms. It is derived, as the name 'rms' implies, by finding the square-root of average value of square of the instantaneous currents over a complete cycle.
eddy current loss in the transformer core is reduced by
If the AC signal is sinusoidal, then the RMS value is 141 divided by square root of 2, i.e. 99.7 volts.