Enter the peak voltage into the calculator to determine the root mean square (RMS) voltage (VRMS) of the selected waveform.
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VRMS Formula
The following formula can be used to calculate the root mean square voltage of a sinusoidal periodic voltage.
VRMS = Vpeak / √2 ≈ Vpeak × 0.7071
- Where VRMS is the root mean square voltage
- Vpeak is the peak voltage
To calculate RMS voltage (VRMS) for a sine wave, multiply the peak voltage by approximately 0.7071 (which is 1/√2).
VRMS Definition
VRMS stands for root mean square voltage. It is defined as the square root of the mean of the squared instantaneous voltage over one full cycle. For a purely resistive load, VRMS is the equivalent DC voltage that would produce the same average heating (power) as the AC waveform.
How to calculate VRMS?
How to calculate VRMS?
- First, determine the peak voltage.
Measure or calculate the peak voltage of the sinusoidal voltage source.
- Next, enter the value into the formula.
Enter the value of the peak voltage into the formula and multiply it by 0.7071 (1/√2).
- Analyze the results.
Compare the results of the VRMS calculated in step 2 with the expected outcome.
FAQ
VRMS stands for root mean square voltage. For any periodic waveform, VRMS is defined as the square root of the average of v(t)^2 over one period. For a sine wave, VRMS = Vpeak/√2 (≈ 0.7071 × Vpeak). In a purely resistive load, VRMS is the equivalent DC voltage that would produce the same average heating (power) as the AC waveform.
