Enter the RMS voltage (for a sine wave) or the average voltage of a full-wave rectified sine wave into the peak voltage calculator. The calculator will display the peak voltage.
Peak Voltage Formula
Peak voltage is the highest instantaneous value reached by a voltage waveform. For a pure sine wave, you can calculate it directly from either RMS voltage or average voltage.
| Known Value |
Relationship |
Use When |
| RMS voltage |
|
You know the AC RMS value of a sinusoidal waveform. |
| Average voltage |
V_p = V_{avg}\frac{\pi}{2} |
You know the rectified average value of a sine wave. |
Related Sine-Wave Conversions
| Conversion |
Formula |
| Peak from RMS |
|
| RMS from peak |
V_{RMS} = \frac{V_p}{\sqrt{2}} |
| Average from peak |
V_{avg} = \frac{2V_p}{\pi} |
| Peak-to-peak from peak |
|
| Crest factor for a sine wave |
\frac{V_p}{V_{RMS}} = \sqrt{2} |
Variable Definitions
| Symbol |
Meaning |
Typical Unit |
| Vp |
Peak voltage, measured from zero to the waveform crest |
V, mV, kV |
| VRMS |
Root-mean-square voltage, the effective AC value |
V, mV, kV |
| Vavg |
Average rectified voltage of a sine wave |
V, mV, kV |
| Vpp |
Peak-to-peak voltage, from negative peak to positive peak |
V, mV, kV |
How to Calculate Peak Voltage
- Choose whether your known input is RMS voltage or average voltage.
- Enter the value into the calculator using the correct unit.
- Select the matching mode:
- RMS if the input is VRMS
- Average if the input is Vavg
- Read the result as the waveform’s peak voltage.
Common Peak Voltage Values
| Known Value |
Type |
Peak Voltage |
Peak-to-Peak Voltage |
| 5 V |
RMS |
7.07 V |
14.14 V |
| 12 V |
RMS |
16.97 V |
33.94 V |
| 24 V |
RMS |
33.94 V |
67.88 V |
| 120 V |
RMS |
169.7 V |
339.4 V |
| 230 V |
RMS |
325.3 V |
650.6 V |
Important Notes
- The RMS and average formulas above are valid for a sinusoidal waveform.
- Average voltage here means the rectified average of a sine wave, not the full-cycle average. A full sine wave averaged over one complete cycle is 0 V.
- For square, triangle, clipped, or distorted waveforms, the conversion factors are different.
- Peak voltage is critical when selecting capacitors, diodes, insulation, probes, and power components that must survive the highest instantaneous voltage.
Where Peak Voltage Is Used
- AC power analysis
- Oscilloscope waveform interpretation
- Rectifier and filter design
- Capacitor voltage rating checks
- Insulation and component stress calculations
- Signal and audio electronics
Quick Comparison: RMS vs Peak vs Peak-to-Peak
| Measurement |
What It Represents |
| RMS |
The effective heating or power-equivalent value of AC voltage |
| Peak |
The maximum voltage above zero at the crest of the wave |
| Peak-to-peak |
The total swing from the negative peak to the positive peak |