Description
A tool for converting between peak voltage, peak-to-peak voltage, and RMS value in AC signals, applicable to sinusoidal waveforms.
This calculator helps users convert between Peak, Peak-to-Peak, and RMS voltage values, commonly used in electrical measurements, circuit design, and signal analysis.
Core Formulas
RMS → Peak: V_peak = V_rms × √2 ≈ V_rms × 1.414
Peak → RMS: V_rms = V_peak / √2 ≈ V_peak / 1.414
Peak → Peak-to-Peak: V_pp = 2 × V_peak
Peak-to-Peak → Peak: V_peak = V_pp / 2
RMS → Peak-to-Peak: V_pp = 2 × V_rms × √2 ≈ V_rms × 2.828
Peak-to-Peak → RMS: V_rms = V_pp / (2 × √2) ≈ V_pp / 2.828
Parameters
| Parameter |
Description |
| Peak |
The maximum instantaneous voltage in one cycle of an AC waveform, unit: Volts (V) |
| Peak-to-Peak |
The difference between the maximum and minimum voltage values, representing the total swing of the signal |
| RMS |
Root-Mean-Squared value, equivalent to the DC voltage that would produce the same heating effect. Mains electricity (e.g., 230V) is specified as RMS |
Example Calculations
Example 1:
Household AC voltage RMS = 230 V
Then:
- Peak = 230 × 1.414 ≈
325.2 V
- Peak-to-Peak = 325.2 × 2 ≈
650.4 V
Example 2:
Signal generator output Peak-to-Peak = 10 V
Then:
- Peak = 10 / 2 =
5 V
- RMS = 5 / 1.414 ≈
3.54 V
Use Cases
- Electrical measurements and instrument calibration
- Circuit design and component selection
- Signal analysis and oscilloscope interpretation
- Academic learning and exams