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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 ~ ...
What else can I help you with?
Why this rms voltage is 0.707 times peak voltage?
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.
Find rms value for a given ac sawtooth wave form?
okay, where's the "given waveform"?
What is the effective value of an AC signal of 141 volts peak value?
If the AC signal is sinusoidal, then the RMS value is 141 divided by square root of 2, i.e. 99.7 volts.
How do you calculate the peak-to-peak value of a sine wave?
All AC voltages and currents are quoted as root-mean-square (rms) values where, for a sinusoidal waveform, the rms value is 0.707 Vmax or 0.707 Imax.From this, you can determine the value of the amplitude Vmax or Imax:Vmax = Vrms/0.707 or Imax = Irms/0.707Once you know the value of the amplitude (Vmax or Imax), simply double it to determine the peak-to-peak value.
Is AC voltage measured from Peak to Peak or from 0 to peak?
Both. When an AC voltage is measured and a number is reported, it is necessary to state that this number is rms value or peak value or peak to peak value.AnswerVoltages and currents are each normally expressed in root-mean-square (rms), unless otherwise stated. For example, when we talk about a '120-V service' or a '240-V service', we are expressing the voltages in rms values; it is unecessary to specify that these are rms values. For a sinusoidal waveform, Vrms = 0.707 Vpeak
What is RMS value of an AC Sinusoidal Waveform and the power they carry?
Hi, RMS is voltage X .707 and the power is voltage X current. Hope that helps, Cubby
Why it is useful to use rms notation for alternating current and voltage?
AC waveform is sinusoidal waveform it has both positives and negative cycles so we dont have a standard constant value to do Measurements so instead of using AC quantities we use ROOT mean square values which is obtained by dividing Vpp(peak to peak voltage) by 1.414AnswerThe rms-value of an AC current is the same as as the value of DC current that will do the same amount of work. For example, 10 A (rms) AC will do exactly the same amount of work as 10 A DC.
Why this rms voltage is 0.707 times peak voltage?
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.
What is form factor in electrical?
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.
Find rms value for a given ac sawtooth wave form?
okay, where's the "given waveform"?
What is the effective value of an AC signal of 141 volts peak value?
If the AC signal is sinusoidal, then the RMS value is 141 divided by square root of 2, i.e. 99.7 volts.
How do you calculate the peak-to-peak value of a sine wave?
All AC voltages and currents are quoted as root-mean-square (rms) values where, for a sinusoidal waveform, the rms value is 0.707 Vmax or 0.707 Imax.From this, you can determine the value of the amplitude Vmax or Imax:Vmax = Vrms/0.707 or Imax = Irms/0.707Once you know the value of the amplitude (Vmax or Imax), simply double it to determine the peak-to-peak value.
Is AC voltage measured from Peak to Peak or from 0 to peak?
Both. When an AC voltage is measured and a number is reported, it is necessary to state that this number is rms value or peak value or peak to peak value.AnswerVoltages and currents are each normally expressed in root-mean-square (rms), unless otherwise stated. For example, when we talk about a '120-V service' or a '240-V service', we are expressing the voltages in rms values; it is unecessary to specify that these are rms values. For a sinusoidal waveform, Vrms = 0.707 Vpeak
Why is average voltage of full wave rectified voltage different from the rms value of an equivalent ac waveform?
the number u are seeking is 0.639
What is the waveform of AC through a straight wire?
Either sinusoidal, or can always be represented as a sum of sinusoids.
The rms value of the resultant current in a wire which carries a DC of 20A and a sinusoidal ac of peak value 20A is?
From your description, this sounds like it is a sine wave offset to 10A, so the peak is at 20A, and the min is at 0? For this case, you have 10A DC (RMS) wave and a 10A Peak - neutral AC wave; The RMS value of the AC wave is: 10/2*sqrt(2) = 3.54A. So the RMS amplitude of this wave is 13.54A.
Rms value of AC current is equal to main current at an angle?
The root-mean-square value is 0.707 times the peak value, for a sinusoidal voltage or current. Angle doesn't come into it.
