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For sine waves:
To calculate the RMS value of a sine wave, multiply the peak value by 0.707. The peak value is, of course, one half the peak-to-peak value. To go the other way, reverse the order of operations. That is, if you're starting with an RMS value, divide by 0.707 and then multiply by two to get the p-p value. Another way to convert from RMS to p-p is to multiply the RMS value by two square roots of two: RMS x 2 x SQR(2).
Or more simply, to convert from RMS to peak to peak voltage:
(RMS x 1.414) x 2=P-P
For example:
120vac x 1.414= 170vac
169.68vac x 2 = 339.36vac P-P
Where there is a significant reactive component in the characteristic of the cabling or load, we must also consider the effects of the X/R ratio. The real vs imaginary components of the impedance:
V(peak) = V(rms) * sqrt(2) * (1+ e(exp -pi/(X/R)))
where "exp" is the exponent to which the value of e is raised.
Reading the power of e above in English:
"e to the power of (minus pi divided by the X/R ratio)".
Take careful note of the top line of the first answer "For sine waves". More specifically the formula applies only to a signal which is a pure sine wave (a single frequency, no harmonics or other frequencies). As soon as you combine two or more sine wave signals of different frequencies, the ratio of peak voltage to RMS voltage depends strongly on the phases of the component signals. Too complicated to answer here, in full explanation.
Vrms = (Vp-p / 2 )/ sq.root (2) = Vp-p / 2.828 for sinusoidal waves..
*Note: If the signal or the waveform is not sinusoidal you'll have to derive from basic steps with a sound knowledge about integrations.
RMS = root mean square = square root (mean(square values of voltages))
What else can I help you with?
What is the difference of peak and rms value?
RMS stands for "Root of the Means Squared", and is a mathematical method of defining the "operating" voltage of a sine wave power source. Typical home lighting and outlet voltage presently is 120 VAC (volts alternating current), 60 Hz. (Hertz, formerly referred to as "cycles per second".) But the PEAK voltage is the absolute maximum voltage at the "peak" of each sine wave of voltage. Mathematically, the "Peak" voltage is 1.414 (which is the square root of the number 2) times the RMS voltage, and conversely, the RMS voltage is 0.707 times the PEAK voltage.
What is the relationship between RMS and peak voltage for a square waveform?
RMS and peak voltage for a square waveform are the same. There is a small caveat, and that is that you'd have to have a "perfect" square wave with a rise time of zero. Let's have a look. If we have a perfect square wave, it has a positive peak and a negative peak (naturally). And if the transition from one peak to the other can be made in zero time, then the voltage of the waveform will always be at the positive or the negative peak. That means it will always be at its maximum, and the effective value (which is what RMS or root mean square is - it's the DC equivalent or the "area under the curve of the waveform") will be exactly what the peak value is. It's a slam dunk. If we have a (perfect) square wave of 100 volts peak, it will always be at positive or negative 100 volts. As RMS is the DC equivalent, or is the "heating value for a purely resistive load" on the voltage source, the voltage will always be 100 volts (either + or -), and the resistive load will always be driven by 100 volts. Piece of cake.
What is RMS in electricity?
RMS stands for Root Mean Square. Power is calculated as V2/R where V is the voltage and R is the resistive component of a load, This is easy toi calculate for a DC voltage, but how to calculate it for a sinusoidal voltage? The answer is to take all the instantaneous voltages in the sine wave, square them, take the mean of the squares, then take the square root of the result. This is defined as the "heating effect voltage". For a sine wave, this is 0.707 of the peak voltage.
How do you determine rms and .707 in electricity?
In electricity, the root mean square (RMS) value is calculated by taking the square of the instantaneous values of a waveform over a complete cycle, averaging those values, and then taking the square root of that average. For a sinusoidal waveform, the RMS value can also be determined by multiplying the peak voltage (V_peak) by 0.707 (or 1/√2). This factor represents the ratio of the RMS value to the peak value for sinusoidal signals, where the RMS value effectively represents the equivalent DC value that would produce the same power in a resistive load.
What are the RMS voltages of X-ray machines?
If by RMS voltages you mean what is the RMS voltage of the power source voltage to the device proper it might be 120 volts AC like right out of the wall where you plug it in. That 120 VAC is an RMS voltage. That's the way we measure AC voltages like those wired into residential and commercial settings. Picture an AC sine wave. For a sine wave that is 120 volts RMS, its peak voltage will be right at about 170 volts. Volts RMS is the so-called DC equivalent voltage. The RMS voltage for a larger X-ray machine could be 220 VAC or 440 VAC, too, as higher power units are available. These units can be fixed or "permanent" in a medical setting or in an industrial plant, and can take advantage of higher electrical bus voltages. The X-ray tube itself runs on a DC voltage. A DC voltage doesn't usually have the idea of RMS associated with it. The voltage is "fixed" and not changing over time like it does in an AC source. Modern X-ray tubes can have operating voltages that range from 10 kV to 300 kV applied to accelerate the electrons before slamming them into an anode target.
What is an RMS output?
That is an electric AC or audio output, where the voltage is measured in volts rms. Scroll down to related links and look for "dB conversion (decibel)". Look there in the middle at this headline: "RMS voltage, peak voltage and peak-to-peak voltage".
What is the conversion of rms voltage to Peak to Peak voltage?
Assuming sine wave (it is different if not): Vp-p = 2.828 * Vrms
What is the peak voltage of a sine wave that measure 220V AC rms?
Peak voltage will be 1.414 times the RMS. Peak to Peak voltage, assuming no DC offset, will be 2 x 1.414 x the RMS value.
Are peak-to-peak and rms voltage measurements the same?
No, the peak-to-peak voltage is 2sqrt(2) times as much as the rms for a pure sine-wave.
What is a peak load voltage out of a bridge rectifier for a secondary voltage of 15 Vrms?
A: Peak voltage is RMS multiplied by a factor of 1.41
What is 10000 rms?
rms stands for root mean squared. rms voltage is a way of measuring a sort of average alterating current voltage as distinguished from peak-to-peak voltage. Likewise for ac rms current.
How rms voltage related to peak voltage?
The average voltage is the rms voltage.Volts peak = volts RMS times 1.414Volts RMS = volts peak times 0.7071Use the link below to an RMS voltage, peak voltage and peak-to-peak voltage calculator.********************************The average voltage is not the r.m.s. voltage.The average voltage of a sine wave is 0.636 x the peak value. Conversely, peak voltage is 1.57 the mean or average.
Use of RMS?
I am not certain what is being asked here. RMS is Root Mean Square which is basically the DC voltage which would produce the same amount of heat in a heating element as the AC voltage in question. Since AC is continuously changing in polarity and voltage, it is handy to use the RMS voltage rather than the peak (169.7V for 120V RMS) or peak-to-peak (339.4V for 120V RMS). The peak or peak-to-peak voltage is handy to know when considering the maximum values such as in rectification.
What is peak to peak voltage?
Conversions of RMS voltage, peak voltage and peak-to-peak voltage. That are the used voltages. The expression "average" voltage is used for RMS voltage.Scroll down to related links and seach for "RMS voltage, peak voltage and peak-to-peak voltage".Answer'Average' is not the same as 'root mean square'. As the average value of a sinusoidal voltage is zero, you cannot convert it to a peak-to-peak value.
Is 480 rms or peak voltage?
When people talk about 480V systems, they mean 480 is the RMS voltage.
What is the peak-to-peak voltage in a circuit with an rms voltage of 120VAC?
ANSWER: The peak to peak voltage can be found by multiplying 120 v AC x 2.82= 339.41
Convert rms to peak to peak power?
P-P voltage = RMS voltage * 2 * sqrt (2)Here's an example: house voltage is 120VRMS, which is actually ~169 volts peak - neutral. double this will give peak to peak value.
