What is the average value of 65 volts RMS?

What is the average value of 65 volts RMS?

• A. 32.9 V
• B. 65 V
• C. 58.47 V
• D. 91.94 V

Answer: (C)

For a sine wave that has been full-wave rectified, the average value is 2Vm/π, where Vm is the peak voltage. The peak is related to RMS by Vm = Vrms × √2. So the average value becomes 2√2 × Vrms / π. With Vrms = 65 V, the calculation is 2 × 1.4142 × 65 / π ≈ 58.5 V. In short, the average value of a full-wave rectified sine with 65 V RMS is about 58.5 V.

For a sine wave that has been full-wave rectified, the average value is 2Vm/π, where Vm is the peak voltage. The peak is related to RMS by Vm = Vrms × √2. So the average value becomes 2√2 × Vrms / π.

With Vrms = 65 V, the calculation is 2 × 1.4142 × 65 / π ≈ 58.5 V.

In short, the average value of a full-wave rectified sine with 65 V RMS is about 58.5 V.