Phase Angle Calculator

Formula

The formula to calculate the Phase Angle (A) is:

\[ A = \arctan\left(\frac{XL - XC}{R}\right) \]

Where:

\( A \) is the phase angle (degrees)
\( XL \) is the inductive reactance (ohms)
\( XC \) is the capacitive reactance (ohms)
\( R \) is the resistance (ohms)

What is Phase Angle?

A phase angle is an amount at which the voltage of a coil or circuit is leading or lagging behind the current of the same coil or circuit. This term is used most in electromagnetism.

Example Calculation

Let's assume the following values:

Inductive Reactance (XL) = 50 ohms
Capacitive Reactance (XC) = 30 ohms
Resistance (R) = 10 ohms

Using the formula to calculate the Phase Angle:

\[ A = \arctan\left(\frac{50 - 30}{10}\right) = \arctan(2) \approx 63.43^\circ \]

The Phase Angle is approximately 63.43 degrees.