Enter either the peak voltage or the average (rectified) voltage into the calculator to determine the other value. 

Average (Rectified) Voltage Calculator

Enter exactly 1 value to calculate the missing variable

Average (Rectified) Voltage Formula

The following formula is used to calculate the average (rectified) voltage for a sine wave. 

V_{avg,rect} = \frac{2}{\pi}V_p \approx 0.637\,V_p

Variables:

  • Where Vavg,rect is the average (rectified) voltage (volts)
  • Vp is the peak voltage (volts) 

To calculate the average (rectified) voltage, multiply the peak voltage by 0.637 (≈ 2/π).

This formula calculates the average (mean/DC) value of a full-wave-rectified sinusoidal voltage waveform (equivalently, the average of the absolute value of a sine wave). Note: a pure sinusoidal voltage centered around 0 V has an average of 0 V when averaged over a full cycle.

How to Calculate Average (Rectified) Voltage?

The following two example problems outline the steps and information needed in order to calculate the Average (Rectified) Voltage.

Example Problem #1:

  1. First, determine the peak voltage (volts) of the sine wave. In this example, the peak voltage is measured to be 50.
  2. Finally, calculate the average (rectified) voltage using the formula above: 

Vavg,rect = Vp * 0.637

Inserting the values from above into the equation yields: 

Vavg,rect = 50 * 0.637 = 31.85 (volts)

Example Problem #2: 

Using the same process as the first example, define the variables outlined by the formula. In this case, these values are:

Peak voltage (volts) = 100

Entering these values into the formula or calculator above gives us: 

Vavg,rect = Vp * 0.637 = 63.7 (volts)