Average Voltage to RMS Voltage Calculator

This tool calculates the Root-mean-square (RMS) Voltage from its average value.

Calculator

  • Enter the Average Voltage value. Use the drop down menu to select the units (V, mV, uV or nV)
  • The tool will calculate the RMS voltage equivalent

๐Ÿ” RMS to Average voltage

Formula for Converting Average Voltage to RMS Voltage

For a full-wave rectified sinusoidal waveform, the conversion from average voltage to RMS voltage is based on the following:

VRMS = Vavg ร— ฯ€/(2ร—โˆš2)

Where:

  • VRMS is the RMS voltage,
  • Vavg is the average voltage,
  • ฯ€ or pi is approximately 3.1416

Example Calculation

Letโ€™s say you have a full-wave rectified signal with an average voltage of 10 V. Use the calculator to convert this to RMS voltage value of 11.11 V.

Why RMS Voltage Is Important

  • Power Calculations: RMS voltage represents the true effective power of an AC signal. For instance, when calculating the power delivered to a load, the RMS voltage is used in the formula P = VRMS ร— IRMS where P is power in watts, VRMS is the RMS voltage, and IRMSโ€‹ is the RMS current).
  • Electrical Equipment Ratings: Most electrical devices are rated based on RMS voltage, as it gives a better understanding of the power the device can handle or deliver.
  • Signal Processing: In audio engineering and signal processing, RMS voltage gives an accurate measure of the signalโ€™s energy content, which is important for maintaining sound quality and preventing distortion.