What is the average value of a full sine wave rectified voltage relative to the peak value?

The average value of a full sine wave rectified voltage is calculated as a fraction of its peak value. Specifically, for a full-wave rectified sine wave, the average is approximately 0.637 times the peak voltage. This relationship stems from the integration of the sine wave over one full cycle, followed by division by the period of the waveform.

In a full-wave rectifier, the negative half of the waveform is inverted, producing a voltage that is always positive. The average value refers to the mean level of this positive waveform over time. When you calculate this, you find that the average voltage is about 63.7% of the peak voltage. Consequently, this value is particularly significant in applications involving rectification, as it influences calculations related to power and circuit design.

The other options, while they may have specific meanings in other contexts (such as root mean square values or RMS), do not represent the average value of a full sine wave rectified voltage accurately. Thus, the selection of 0.637 x peak as the answer is grounded in the fundamental principles of electrical engineering and rectifier circuit analysis.