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AC Phase Difference Calculator

Calculate Phase & Time Difference Between Two Sine Waves

Frequency f (Hz)
Signal 1 Phase (°)
Signal 2 Phase (°)

Phase Difference Formulas

Phase Difference: Δφ = φ₁ - φ₂ (deg/rad)
Time Difference: Δt = Δφ / (360° × f) = Δφ / (2πf)
Angular Frequency: ω = 2πf

Phase difference describes the time shift between two same-frequency signals, critical for AC circuits, power factor, and synchronization.

Phase difference normalized to -180° ~ 180°. Positive = Signal 1 leads; Negative = Signal 1 lags. Frequency in Hz, time in seconds.

What is Phase Difference?

Phase difference is the angular shift between two sinusoidal AC signals of identical frequency. In AC circuits, voltage and current have phase shifts (0° for resistive, ±90° for pure L/C). It directly affects power factor and energy efficiency.

In-Phase & Out-of-Phase

0° = in-phase (peaks align). 180° = out-of-phase (opposite peaks).

Quadrature Phase

90° phase shift = quadrature. Current lags voltage by 90° in inductors, leads in capacitors.

Lead & Lag

Leading signal reaches peak earlier. Lagging signal reaches peak later.

Power Factor

PF = cos(phase difference). Closer to 1 = higher efficiency. Capacitor compensation improves PF.

💡 Example: Signal1=30°, Signal2=10°, 50Hz. Δφ=20°. Δt=20/(360×50)=0.00111s=1.11ms. Signal 1 leads Signal 2.

Applications

AC Circuit Analysis Power Factor Correction Signal Synchronization PLL Systems Audio Processing

Frequently Asked Questions

What is phase difference?
Phase difference is the angle difference between two sine waves of the same frequency. It describes how much one signal is shifted in time relative to the other, measured in degrees (°) or radians (rad), typically normalized to -180° ~ 180°.
How is phase difference related to power factor?
Power factor = cosφ, where φ is the phase difference between voltage and current. PF = 1 at φ=0° (in-phase, maximum efficiency). PF = 0 at φ=90° (quadrature, only reactive power).
How to determine lead or lag?
Positive phase difference (Δφ > 0): Signal 1 leads Signal 2. Negative phase difference (Δφ < 0): Signal 1 lags Signal 2. Normalized range: -180° to 180°.
Convert phase difference to time difference?
Δt = Δφ / (360×f) or Δt = Δφ/(2πf). Example: 50Hz, 90° phase difference → Δt = 90/(360×50) = 0.005s = 5ms. Higher frequency = smaller time delay for same phase shift.

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