RMS Calculator

Calculate RMS voltage of a sine wave. To get started, enter peak voltage below. Also works in reverse.

About

This tool converts between peak voltage and root mean square (RMS) voltage. It applies to a sine wave with a zero DC value. It uses the following formula to solve for each parameter:

Vrms=Vp2V_{rms} = \frac{V_p}{\sqrt{2}}

where: VrmsV_{rms} is RMS voltage and VpV_p is peak voltage

Instructions

To calculate RMS voltage from peak voltage, fill in the peak voltage field, and the result will appear in the RMS voltage field. Similarly, to calculate peak voltage based on RMS voltage, fill in the RMS voltage field.

Theory

In electronics, RMS voltage provides a quick way to determine power dissipation in a resistive load that has an AC voltage across it. To do so, calculate the RMS value of the AC voltage, then treat it as you would a DC voltage, applying an equation such as P=Vrms2/RP = {V_{rms}}^2/R.