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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.