What is the average value of a fully rectified sinewave expressed as a percentage of its peak?

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When discussing the average value of a fully rectified sine wave, it's important to clarify the characteristics of the waveform and how its average value is calculated. A fully rectified sine wave is produced by converting all the negative portions of a sine wave to positive, resulting in a waveform that oscillates above the time axis only.

The calculation of the average value of a fully rectified sine wave is derived from integrals, where the average value over one complete cycle is determined. For a sine wave, the peak value (also known as the amplitude) is represented typically as ( V_{peak} ). When a sine wave is rectified, its average value over a full cycle is calculated to be approximately ( 0.636 ) times the peak value.

Expressed as a percentage, this average value becomes approximately ( 63.6% ) of the peak voltage. In practical terms, this percentage can be rounded to 62% for the purpose of this question.

Understanding the behavior of the fully rectified sine wave and its mathematical basis is crucial for electrical technicians, especially when dealing with AC circuits and power calculations. This ensures accurate measurements and analysis when working with rectifiers in various electrical applications.

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