What is the formula for calculating the Average Usable DC Voltage on a Full Wave Rectifier?

To find the Average Usable DC Voltage produced by a Full Wave Rectifier, the formula involves understanding how the rectification process works and how the output waveform is shaped.

A Full Wave Rectifier takes both halves of the AC waveform and inverts the negative half, effectively doubling the frequency of the output. When calculating the average output voltage of this rectified waveform, the formula incorporates the peak voltage of the output (Output Vmax) and π, the mathematical constant.

The formula Vav = 2 * (Output Vmax / π) indicates that the average voltage is not only influenced by the peak voltage but also accounts for the fact that the waveform's average value is higher due to it integrating over a cycle that includes both the positive and inverted negative halves of the AC signal. The factor of 2 comes from the integration over the full cycle of the waveform.

This results in a greater average value compared to a single half-cycle, hence the division by π and multiplying by 2 is crucial for obtaining the correct average usable DC voltage for a Full Wave Rectifier.