The average value of an AC sine wave is equal to what factor of its peak value?

The average value of an AC sine wave is typically calculated over one complete cycle and is equal to approximately 0.637 times its peak value. This average value is derived from the mathematical integral of the sine function over its cycle, which reflects the positive half of the wave since the sine wave oscillates both above and below the horizontal axis.

The factor of 0.637 comes from the fact that the sine wave achieves its peak value (the maximum amplitude) at 1 during the cycle but spends a portion of the cycle at lower values. The majority of the energy or effective value is concentrated in the positive half of the sine wave, which is why the average value is less than the peak value. This understanding of AC signal behavior is critical, especially in electrical engineering applications, for designing systems that rely on these waveforms.

In this context, the other options do not correspond to the average value of an AC sine wave, which is why they are not accurate representations of the relationship between the average value and the peak value.