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

The formula for calculating the Average Usable DC Voltage on a Full Wave Bridge Rectifier is expressed as Vav = 2 * (Output Vmax / π). This is correct because, in a full wave rectifier configuration, the output voltage waveform is the result of both halves of the AC waveform being utilized.

To derive this, one can recognize that a full wave bridge rectifier essentially takes both peaks of the sinusoidal input waveform and rectifies them, allowing both positive and negative halves to contribute to the output voltage. The average voltage over one complete cycle of the rectified output is derived from integrating the output voltage over the interval of the waveform and normalizing it over that same interval.

Using the Output Vmax (which is the peak voltage of the input AC waveform), the average usable DC output voltage is computed by taking the peak value, factoring in the symmetry and shape of the wave, and establishing that the average value over one full cycle is essentially double the average of the sine wave from 0 to π. This is captured in the formula by multiplying the peak voltage by 2 and dividing by π, leading to the conclusion that the average voltage yielded in this rectified system is effectively transformed according to this relationship.

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