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Voltage(Amplitude) conversion

V
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

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