The tool below calculates the DC voltage from AC voltage.

**Background**

A full-wave rectifier is an electronic circuit that converts AC to DC by rectifying both halves of the AC waveform, resulting in a more efficient conversion compared to a half-wave rectifier.

The DC or averaged value of the output waveform is given by the formula below.

**Formula**

V_{DC} = (2/π)*(V_{max})

where V_{max} is the peak AC voltage value and V_{DC} is the output. The multiplier in the equation is **2/π** or 0.637.

**How is this formula derived?**

The area under the curve A is equal to h x w

where h is the height and w is the width. **V _{DC}** is the height and therefore given by

**V**= A/w

_{DC} A = _{0} ∫ ^{π} sin(x) dx = −cos(x)|_{0}^{π} = 2

The width is simply π-0 = π

Therefore V_{DC} = 2/π*V_{max} (we have to scale it by V_{max} as the calculation above is for a peak value of 1).

**Example Calculation**

For a peak AC value of 1 Volt, the equivalent DC value is 0.637 Volt.