Watt to RMS

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 / โˆš2

or approximately:

Wrms โ‰ˆ Wp ร— 0.707

Example Calculation

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

Wrms = 100 Wp / โˆš2 โ‰ˆ 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 / โˆš2 or approximately: Wrms โ‰ˆ Wp ร— 0.707

Watt Peak [Wp] RMS [Wrms]
1 Wp 0.7071 Wrms
2 Wp 1.4142 Wrms
3 Wp 2.1213 Wrms
4 Wp 2.8284 Wrms
5 Wp 3.5355 Wrms
10 Wp 7.0711 Wrms
100 Wp 70.7107 Wrms
500 Wp 353.5534 Wrms
1000 Wp 707.1068 Wrms

Author

  • Manish Kumar

    Manish holds a B.Tech in Electrical and Electronics Engineering (EEE) and an M.Tech in Power Systems, with over 10 years of experience in Metro Rail Systems, specializing in advanced rail infrastructure. He is also a NASM-certified fitness and nutrition coach with more than a decade of experience in weightlifting and fat loss coaching. With expertise in gym-based training, lifting techniques, and biomechanics, Manish combines his technical mindset with his passion for fitness.

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