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Resistive voltage divider
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Calculators / Technology / Sinusoidal RMS voltage
Sinusoidal RMS voltage calculator
Convert the peak voltage of a zero-offset sine wave to RMS and peak-to-peak values.
On this page
RMS voltage7.07V
Peak-to-peak voltage20V
Calculator controls
How to calculate
Convert the peak voltage of a zero-offset sine wave to RMS and peak-to-peak values.
RMS voltage = v/sqrt(2) V; Peak-to-peak voltage = 2*v V
Worked example
Peak voltage (V): 10.
RMS voltage: 7.07 V; Peak-to-peak voltage: 20 V.
Assumptions and limits
The formula applies to a sine wave with no DC offset. Other waveform shapes and mixed signals require different RMS calculations.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Convert the peak voltage of a zero-offset sine wave to RMS and peak-to-peak values.
When this tool is useful
RMS voltage = v/sqrt(2) V; Peak-to-peak voltage = 2*v V
Understanding your inputs
| Input | What to enter |
|---|---|
| Peak voltage (V) | Enter a number of at least 0 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
The formula applies to a sine wave with no DC offset. Other waveform shapes and mixed signals require different RMS calculations.
How is the result calculated?
RMS voltage = v/sqrt(2) V; Peak-to-peak voltage = 2*v V