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
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🔁 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 × π/(2×√2)
Where:
- VRMS is the RMS voltage,
- Vavg is the average voltage,
- π or pi is approximately 3.1416
Example Calculation
Let’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 × IRMS where P is power in watts, VRMS is the RMS voltage, and IRMS 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 signal’s energy content, which is important for maintaining sound quality and preventing distortion.