What is the formula to find the peak value from the average value?

What is the formula to find the peak value from the average value?

• A. Peak = Avg x 1.57
• B. Peak = Avg x 0.636
• C. Peak = Avg x 2
• D. Peak = Avg / 3

Answer: (A)

For a sine wave that is fully rectified, the average value of the waveform over a cycle is 2 times the peak value divided by π. In formula form, Vavg = (2/π) · Vpeak. To get the peak value from the average, multiply by the inverse: Vpeak = (π/2) · Vavg ≈ 1.57 · Vavg. So the peak is about 1.57 times the average. The other options don’t match this relationship.

For a sine wave that is fully rectified, the average value of the waveform over a cycle is 2 times the peak value divided by π. In formula form, Vavg = (2/π) · Vpeak. To get the peak value from the average, multiply by the inverse: Vpeak = (π/2) · Vavg ≈ 1.57 · Vavg. So the peak is about 1.57 times the average. The other options don’t match this relationship.