Phase Angle Calculator

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Phase Angle Calculator

Calculate the phase angle of an AC circuit from resistance and reactance, or from a time delay between two waveforms.

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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.

Impedance Method
Real part
Positive inductive, negative capacitive
Time Delay Method
Signal frequency
Delay between waveforms
0
πŸ’‘ Tip: Positive reactance means inductive (current lags voltage). Negative means capacitive (current leads).
1

Impedance Angle

Ο† = arctan(X Γ· R).

2

Time Delay

Ο† = 360Β° Γ— frequency Γ— delay.

3

Power Factor

cos Ο† = R Γ· Z.

4

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 Anglecos Ο†TypeExample
0️⃣ 0Β°1.00ResistiveHeater
3️⃣ 30Β°0.87Mostly resistiveLightly loaded motor
4️⃣ 45Β°0.71Equal R and XReactive load
6️⃣ 60Β°0.50Highly reactiveUnloaded motor
9️⃣ 90Β°0.00Pure reactiveIdeal coil
πŸ“Š Rule of ThumbΟ† = atan(X/R)Lag = inductiveLead = 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 Ο† = arctan(X Γ· R).

The current leads the voltage, which is typical of capacitive circuits.

Multiply 360 degrees by frequency and delay time in seconds.

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