ElectroDesignForgeElectroDesignForge

RMS Converter

Convert RMS, Peak, Average and Peak-to-Peak values for different waveform types. The oscilloscope preview updates automatically according to the selected signal parameters.

Input Parameters

Signal Preview

Amplitude(V)325.27 V230.00 V0.00 V-230.00 V-325.27 VTime (ms)0.0020.0040.0060.00WaveformRMS0 VDC Offset

Formulas

VMAX=VOffset+2VRMS,ACV_{MAX}=V_{Offset}+\sqrt{2}V_{RMS,AC}
VPP=22VRMS,ACV_{PP}=2\sqrt{2}V_{RMS,AC}
VAVG=1T∫0Tv(t) dt=VOffsetV_{AVG}=\dfrac{1}{T}\int_0^T v(t)\,dt=V_{Offset}
VRMS,total=VRMS,AC2+VOffset2V_{RMS,total}=\sqrt{V_{RMS,AC}^{2}+V_{Offset}^{2}}

Calculated Values

RMS Voltage
V
Peak Voltage
V
Average Voltage
V
Peak-to-Peak Voltage
V

Signal guide

Choose the right RMS, peak, or peak-to-peak quantity

Signal amplitudes are comparable only when their definition is known. RMS describes the equivalent heating effect of an AC signal; peak and peak-to-peak describe its maximum excursion.

Method and assumptions

For a pure sine wave, Vrms = Vp/√2 and Vpp = 2·Vp. These equalities do not directly apply to square, triangular, or distorted waveforms: their crest factor must be considered.

Inputs to verify

Waveform

Choose the waveform that best represents the signal actually measured.

Known quantity

State clearly whether the oscilloscope or datasheet gives an RMS, peak, or peak-to-peak value.

Recommended workflow

  1. 1Identify the waveform and any DC offset.
  2. 2Convert using the relationship for that waveform.
  3. 3Compare the result with the instrument’s RMS range and allowed crest factor.

Checkable example

A 10 V peak sine wave is about 7.07 V RMS and 20 V peak-to-peak. A non-true-RMS meter can be wrong when the signal is not sinusoidal.

Limits to keep in mind

The converter does not characterise noise, bandwidth, or offset. For dissipation and safety, use the complete waveform and the component limits.

Frequently asked questions

Is RMS an average?

Not in the arithmetic sense. It is the root of the mean of squares, which relates the value to heating in a resistor.

What does true RMS mean?

A true-RMS instrument calculates or estimates the effective value of non-sinusoidal waveforms within its bandwidth and crest-factor limits.

References to consult

  • Method reference: RMS definitions and crest factor specified by the oscilloscope or true-RMS meter.

Original educational content, reviewed for technical clarity on 20 August 2026. Always verify datasheets, applicable standards, and your design before power-up or manufacture.