Hi,
RMS is voltage X .707 and the power is voltage X current.
Hope that helps,
Cubby
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'.
Form factor in electrical engineering refers to the ratio of the effective (RMS) value of a periodic waveform to its peak value. It is used to quantify the shape of the waveform and is commonly used in power engineering to calculate the effective value of AC voltage or current. A waveform with a higher form factor indicates a more peaked shape, while a lower form factor indicates a more sinusoidal shape.
How loud the air vibration is from the bell of the instrument. Technically the maximum zero to peak value (0-90 degrees) of the sinusoidal waveform.
If you are referring to an a.c. current, then the maximum current is the amplitude of its waveform. For a sinusoidal waveform, the amplitude of an a.c. current is its root-mean-square value, divided by 0.707. For example, an a.c current with an rms value of, say, 10 A will have an amplitude of 14.14 A,
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.
The root mean square (RMS) voltage is 0.707 times the peak voltage for a sinusoidal waveform because of the mathematical relationship between peak and RMS values. The RMS value is calculated as the peak value divided by the square root of 2 for a sinusoidal waveform. This factor of 0.707 ensures that the average power delivered by the AC voltage is the same as the equivalent DC voltage for resistive loads. This relationship is crucial for accurately representing and analyzing AC voltage in electrical systems.
The average value of an a.c. voltage or current, over a complete cycle, is zero. For this reason, the average value is normally quoted over a half cycle and, for a sinusoidal waveform, is equal to 0.637 Vmax or 0.637 Imax.
Rms is watts that's the amount of watts a speaker is rated for.
The root mean square (RMS) power can be calculated from the peak power using the formula ( P_{\text{RMS}} = P_{\text{peak}} / \sqrt{2} ). For a peak power of 250 watts, the RMS power would be approximately ( 250 / \sqrt{2} ), which equals about 176.78 watts. This value represents the effective power output of the system when considering a sinusoidal waveform.
All a.c. voltages are expressed in root-mean-square (r.m.s.) values, unless otherwise stipulated. So 12 V is an r.m.s value which, for a sinusoidal waveform, has an amplitude, or peak value, of 1.414 x 12 = 16.97 V. So its peak-to-peak value will be twice this amount -i.e. 33.94 V.
Unless otherwise stated, the value of an a.c. current or voltage is expressed in r.m.s. (root mean square) values which, for a sinusoidal waveform, is 0.707 times their peak value. The output of a voltage (or potential) transformer is no different, its measured voltage will be its r.m.s value which is lower than its peak value.