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AC Phase Angle & Impedance

Find the phase angle, impedance and power factor of an R-L or R-C circuit, or the angle from a time shift, free online.
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For a series circuit with resistance R and reactance X: |Z| = √(R² + X²), φ = arctan(X ÷ R) and power factor = cos φ. Use positive X for an inductor (current lags voltage) and negative X for a capacitor. A time shift Δt at frequency f corresponds to φ = 360° × f × Δt.