What is the formula for calculating the average voltage of an AC waveform?

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What is the formula for calculating the average voltage of an AC waveform?

by anonymous in Electrical Engineering asked Jul 27, 2023 101 views

What is the formula for calculating the average voltage of an AC waveform?

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anonymous · Answer 1 · 2023-07-27T10:38:44+0000

The average voltage of an AC (Alternating Current) waveform can be calculated using the formula for the mean value of a periodic function. For a simple AC waveform that varies sinusoidally, such as a sine wave, the formula is:

Average Voltage = (2 * Vmax) / π

Where:

Vmax is the maximum amplitude of the AC waveform.

The reason the formula is (2 * Vmax) / π is because the average value of a sine wave over a full period is 2 * Vmax / π. Since the average value of a sine wave over half a period is 1/2 of the average value over a full period, we get (2 * Vmax) / π for the average voltage.

This formula assumes a perfect sinusoidal waveform. In practice, AC waveforms can be more complex due to harmonics and distortion, so the average voltage calculation may vary depending on the specific waveform shape.

What is the formula for calculating the average voltage of an AC waveform?

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