# Peak Voltage Calculator

## The peak voltage calculator calculates peak voltage values from the peak-to-peak voltage, RMS voltage, or average voltage.

Volts (V)

Volts (V)

### Overview

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

### Equations

$$V_{P} = \frac{1}{2}*V_{P} = 0.5*V_{P}$$

$$V_{P} = \sqrt{2}*V_{rms} = 1.414*V_{rms}$$

$$V_{P} = \frac{\pi}{2}*V_{avg} = 1.571*V_{avg}$$

$$V_{P}$$: 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.

### Further Reading

Textbook - Basic AC Theory

Worksheet - Peak, Average and RMS Measurements

Video - Sine Wave Characteristics

2 Comments
• Mikael Strom January 17, 2020

The first equation has a typo, the last Vp should be Vpp.

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• P
Peter Sarro April 08, 2023

Aside from the fact that the first equation should show Vpp for the 2nd and 3rd “Vp” as:  Vp=1/2 * Vpp = 0.5 * Vpp,  for completeness and clarity the 2nd formula which shows that Vp is:  1.414 * RMS, it should be shown that the RMS voltage is approximately equal to 0.7071 * Vp, and in the 3rd equation it should be shown that the average voltage is approximately 0.637 * Vp.

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