Calculate peak voltage or average rectified voltage from a full-wave rectified sine wave using mV, V, or kV with unit conversion in either direction.
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Average (Rectified) Voltage Formula
The calculator uses the average value of a full-wave-rectified sine wave. For a sine wave, the average rectified voltage is approximately 0.637 times the peak voltage.
- V_avg = average rectified voltage
- V_peak = peak voltage of the sine wave
- 0.637 = rounded value of 2/pi for a full-wave-rectified sine wave
If you enter the peak voltage, the calculator multiplies it by 0.637 to find the average rectified voltage. If you enter the average rectified voltage, the calculator divides it by 0.637 to find the peak voltage. The selected voltage units are converted through volts, then converted back to the output unit you choose.
Common Rectified Sine Wave Voltage Relationships
These values apply to an ideal sine wave. The calculator uses the average rectified relationship shown in the first row.
| Voltage quantity | Formula using peak voltage | Multiplier |
|---|---|---|
| Average rectified voltage, full-wave | V_avg = 0.637 × V_peak | 0.637 |
| RMS voltage of sine wave | V_rms = 0.707 × V_peak | 0.707 |
| Peak voltage from average rectified voltage | V_peak = V_avg ÷ 0.637 | 1.570 |
Voltage Unit Conversions
| Unit | Meaning | Equivalent in volts |
|---|---|---|
| mV | millivolt | 1 mV = 0.001 V |
| V | volt | 1 V = 1 V |
| kV | kilovolt | 1 kV = 1000 V |
Example Calculations
Example 1: Find average rectified voltage from peak voltage
You have a sine wave with a peak voltage of 20 V.
The average rectified voltage is 12.74 V.
Example 2: Find peak voltage from average rectified voltage
You have an average rectified voltage of 5 V.
The peak voltage is approximately 7.85 V.
FAQ
What does average rectified voltage mean?
Average rectified voltage is the mean value of a waveform after the negative half-cycles have been flipped positive. For a full-wave-rectified sine wave, this average value is 0.637 times the peak voltage.
Is average rectified voltage the same as RMS voltage?
No. For a sine wave, average rectified voltage is about 0.637 times the peak voltage, while RMS voltage is about 0.707 times the peak voltage. RMS voltage is commonly used for power calculations. Average rectified voltage is the arithmetic average of the rectified waveform.
Does this formula apply to all waveforms?
No. The 0.637 factor applies to an ideal full-wave-rectified sine wave. Other waveforms, such as square waves, triangle waves, or distorted AC signals, have different average values.
