Phasor Calculator

Formula

To calculate the Phasor Angle (P):

\[ P = \arctan \left( \frac{y}{x} \right) \]

Where:

\(P\) is the phasor angle
\(y\) is the imaginary part of the rectangular form \(x + jy\)
\(x\) is the real part of the rectangular form

What is a Phasor?

A phasor is defined as the relative angle of a multiple-part solution that contains both a real and imaginary portion. It is used in electrical engineering and signal processing to represent sinusoidal functions.

Example Calculation 1

Let's assume the following values:

Real Part (\(x\)) = 3
Imaginary Part (\(y\)) = 4

Using the formula:

\[ P = \arctan \left( \frac{4}{3} \right) \approx 53.13 \text{ degrees} \]

The Phasor Angle is approximately 53.13 degrees.

Example Calculation 2

Let's assume the following values:

Real Part (\(x\)) = 1
Imaginary Part (\(y\)) = 1

Using the formula:

\[ P = \arctan \left( \frac{1}{1} \right) = 45 \text{ degrees} \]

The Phasor Angle is 45 degrees.