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

The formula for calculating the Average Usable DC Voltage on a Half Wave Rectifier is indeed defined as the peak voltage (Output Vmax) divided by π. This choice reflects the fact that a half wave rectifier only conducts during one half of the AC cycle, effectively clipping off the negative half of the waveform.

For a half wave rectifier, the average DC output voltage can be derived based on the idea that the rectifier only allows current to flow during half of the cycle (the positive half). As a result, the average value must consider the fact that the output contributes only during this half cycle. By dividing the peak voltage by π (approximately 3.14), the average voltage effectively accounts for the time over which the circuit operates.

In contrast, options that result in multiplication or division by 2 or calculations using just the Output Vmax without π do not correspond to the behavior of the half wave rectifier, as they either overestimate or do not properly account for the time the rectifier is actually conducting current. Thus, using π is essential in obtaining the correct average output for this type of circuit configuration.