# RMS Voltage Calculator

## This calculator calculates the RMS Voltage value from either the peak voltage, the peak-to-peak voltage, or the average voltage.

Volts (V)

Volts (V)

### Overview

The RMS voltage calculator calculates the RMS voltage value from the peak voltage, the peak-to-peak voltage, or the average voltage. It calculates the RMS voltage based on the above formulas for each.

### Equations

$$V_{rms} = \frac{1}{\sqrt{2}}*V_{P} = 0.707*V_{P}$$

$$V_{rms} = \frac{1}{2\sqrt{2}}*V_{P-P} = 0.353*V_{P-P}$$

$$V_{rms} = \frac{\pi}{2\sqrt{2}}*V_{avg} = 1.111*V_{avg}$$

$$V_{P}$$: The maximum instantaneous value of a function as measured from the zero-volt level. For the waveform shown above, the peak amplitude and peak value are the same, since the average value of the function is zero volts.

$$V_{P-P}$$: The full voltage between positive and negative peaks of the waveform; that is, the sum of the magnitude of the positive and negative peaks.

$$V_{rms}$$: The root-mean-square or effective value of a waveform.

$$V_{avg}$$: The level of a waveform defined by the condition that the area enclosed by the curve above this level is exactly equal to the area enclosed by the curve below this level.

Textbook - Basic AC Theory

Worksheet - Peak, Average and RMS Measurements

Video - Sine Wave Characteristics

Basic AC Circuits - RMS Voltage • Nestorlibra October 22, 2022