Phase Angle Calculator
Calculate the phase angle of an AC circuit from resistance and reactance, or from a time delay between two waveforms.
Compare Your Options And Get Clear Answers
Calculate the phase angle of an AC circuit from resistance and reactance, or from a time delay between two waveforms.
Phase Angle Estimator
Enter your numbers below for an instant estimate.
How It Works
Key concepts behind this calculator
Impedance Angle
φ = arctan(X ÷ R).
Time Delay
φ = 360° × frequency × delay.
Power Factor
cos φ = R ÷ Z.
Use As A Guide
Results are estimates based on your inputs. Check real quotes, rates and professional advice before deciding.
Phase Angle Reference
Common phase angles and power factors.
| Phase Angle | cos φ | Type | Example |
|---|---|---|---|
| 0° | 1.00 | Resistive | Heater |
| 30° | 0.87 | Mostly resistive | Lightly loaded motor |
| 45° | 0.71 | Equal R and X | Reactive load |
| 60° | 0.50 | Highly reactive | Unloaded motor |
| 90° | 0.00 | Pure reactive | Ideal coil |
| Rule of Thumb | φ = atan(X/R) | Lag = inductive | Lead = capacitive |
Phase Angle Calculator FAQ
Answers to common questions about this calculator.
The angular difference between voltage and current (or two signals) in an AC circuit.
Use φ = arctan(X ÷ R).
The current leads the voltage, which is typical of capacitive circuits.
Multiply 360 degrees by frequency and delay time in seconds.