Watt to RMS Converter

How to Convert Watt Peak (Wp) to RMS (Wrms)

To convert RMS values to watts, you can use the following relationship:

Wp to Wrms Calculation Formula (Sinusoidal Waveform)

The relationship between watt peak (Wp) and RMS (Wrms) can be expressed as:

Wrms = Wp / √2

or approximately:

Wrms ≈ Wp × 0.707

Example Calculation

If you have a watt peak measurement of 100 Wp, the calculation would be:

Wrms = 100 Wp / √2 ≈ 70.71 Wrms

Watt Peak (Wp)

Watt peak (Wp) represents the maximum power output of a device under ideal conditions.

RMS (Root Mean Square)

RMS is a statistical measure of the magnitude of a varying quantity and is used in electrical engineering to calculate effective values. For more information, visit this Cuemath page.

Watt Peak (Wp) to RMS Conversion Table

Formula: Wrms = Wp / √2 or approximately: Wrms ≈ Wp × 0.707

Watt Peak [Wp]RMS [Wrms]
1 Wp0.7071 Wrms
2 Wp1.4142 Wrms
3 Wp2.1213 Wrms
4 Wp2.8284 Wrms
5 Wp3.5355 Wrms
10 Wp7.0711 Wrms
100 Wp70.7107 Wrms
500 Wp353.5534 Wrms
1000 Wp707.1068 Wrms

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