RMS to Peak Voltage Calculator

This calculator converts V RMS (Root-mean-square) to its equivalent Peak Voltage

๐Ÿ” V peak to V RMS

Formula

Vpp = (2โˆš2)*VRMS

Vpeak = Vpp/2

Vpeakโ€‹ = VRMSโ€‹ ร— โˆš2โ€‹

Example: Converting RMS to Peak Value

Suppose you have an AC voltage with an RMS value of 120V (which is common in household AC power in many countries). The peak value can be found to be approximately 169.7V using the calculator on this page

Background

What Is RMS Value?

The Root Mean Square (RMS) value of a signal is a measure of the effective power or average amplitude of a varying signal, particularly AC signals. In the context of electrical circuits, the RMS value represents the equivalent DC value that would produce the same amount of power as the AC signal.

For a sinusoidal waveform, the RMS value is calculated by taking the square root of the average of the squares of all instantaneous values of the waveform over one cycle. It provides a meaningful representation of a varying signalโ€™s power.

What Is Peak Value?

The Peak value of a signal is the maximum amplitude it reaches during one cycle. In the case of a sinusoidal waveform, the peak value represents the highest point the voltage or current reaches, either in the positive or negative direction.

For an AC signal, the peak value is higher than the RMS value, as the RMS calculation averages out the power over a complete cycle.