Maple/Phasors

This page contains handy Maple functions for use with Phasors and Phasor analysis.

Processes

Entering a numerical value for phasor or complex number

To enter a complex number in rectangular coordinates, use \(I\) (capital I) as the imaginary number or else re-define the variable \(j\) as the imaginary number with

j:=I

at the start of your code.

For polar representations, you can use the polar(MAG, ANG) command. Keep in mind that the angle will need to be in radians. If you want to be able to use polar coordinates with degrees, you can define a new version of polar as follows:

polard:=(mag, angd)->polar(mag, angd*Pi/180)

Obtaining magnitude and phase values

To get the magnitude of a complex number, use the abs command. To get the angle, use argument but keep in mind the angle will be in radians. To get the angle in degrees, either multiple the output from argument by 180/Pi or create a new argumentd function for yourself:

argumentd:=(num)->argument(num)*180/Pi

Converting to rectangular coordinates

Use the evalc(NUM) command to convert to rectangular coordinates.

Simplifying solutions

Solutions involving the polar command must first be evaluated using the evalc command before using the simplify command.

Handy commands

Given the above, here is a list of the handy commands that can be copied into the beginnings of a Maple worksheet:

j:=I;
polard:=(mag, angd)->polar(mag, angd*Pi/180);
argumentd:=(num)->argument(num)*180/Pi;