Phase Angle Calculator

Calculate the phase angle of a coil with the Phase Angle Calculator, and learn how with the integrated live example

The Phase Angle Calculator will calculate the phase angle of a coil using the inductive reactance and/or the capacitive reactance, and the resistance of the wire.

The phase angle represents the amount by which the voltage is either leading or lagging the current.

The formula to calculate the phase angle is:

Tan\theta=\frac{X_{L}-X_{C}}{R}

Or

\theta=Tan^{-1}(\frac{X_{L}-X_{C}}{R})

Where
θ = Phase angle in degrees
XL = Inductive reactance in ohms
XC = Capacitive reactance in ohms
R = Resistance in ohms

The voltage is leading the current when the resulting number is positive, and the voltage is lagging the current when the resulting number is negative.

Example 1: Find the phase angle when the inductive reactance is 3200 ohms, the capacitive reactance is 6.3 ohms, and the resistance is 2 ohms

Tan^{-1}(\frac{3200-6.3}{2})=89.964\; Degrees

The voltage is leading the current.

Example 2: Find the phase angle when the inductive reactance is 400 ohms, the capacitive reactance is 6000 ohms, and the resistance is 9 ohms

Tan^{-1}(\frac{400-6000}{9})=-89.908\; Degrees

The voltage is lagging the current.

Enter the Inductive Reactance and/or Capacitive Reactance, and the Resistance
Phase Angle
…

How To Calculate Phase Angle

Enter some values to get started!

Using the Phase Angle Calculator

Inductive reactance: Enter the inductive reactance

Capacitive reactance: Enter the capacitive reactance

Resistance: Enter the resistance

How To Calculate Phase Angle: This feature displays a live example of how to calculate phase angle using the figures that you enter

The result is calculated and updated automatically as you enter different numbers or change between the input fields. If the calculated result hasn’t updated after you’ve finished entering your values, click or tap on the result.

Reference: ARRL – The Radio Amateur’s Handbook

Additional information

Other free calculators