Peak to RMS Voltage Calculator

Convert a sinusoidal peak voltage to its root-mean-square value, Vrms = Vp / sqrt(2); the RMS value produces the same heating in a resistor as the equivalent DC voltage.

Description

Convert a sinusoidal peak voltage to its root-mean-square value, Vrms = Vp / sqrt(2); the RMS value produces the same heating in a resistor as the equivalent DC voltage.

Peak to RMS Voltage Calculator: Convert a sinusoidal peak voltage to its root-mean-square value, Vrms = Vp / sqrt(2); the RMS value produces the same heating in a resistor as the equivalent DC voltage.

When to use Peak to RMS Voltage

Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Peak voltage (V)
Peak amplitude of the sine wave.

How Peak to RMS Voltage works

Convert a sinusoidal peak voltage to its root-mean-square value, Vrms = Vp / sqrt(2); the RMS value produces the same heating in a resistor as the equivalent DC voltage. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.1

RMS voltage (V)
Root-mean-square voltage of the sine wave.

Limitations and assumptions

  • Compact electronics formulas omit some combination of tolerances, temperature drift, bandwidth, loading, parasitics, noise spectrum, nonlinearity, clipping, calibration, layout, and device-specific limits. Typical datasheet values are not guaranteed limits.
  • Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Alternative or Complementary approaches

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

References

  1. Electronics — Wikipedia contributors

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