Vector Composition of Rotating Magnetic Fields for 3-Phase Currents

This Demonstration shows a cross section of the stator of a typical 2-pole 50-Hz concentrated-winding AC machine:
1. The sinusoidal time variation of the currents in the three phases (identified as red, blue, and green), where a cross ("X") stands for an incoming current and a dot ("·") stands for an outgoing current.
2. The sinusoidal time variation of the magnetic fields generated by said currents (identified with the same colors).
3. The vector composition of the three magnetic fields, resulting in a rotating magnetic field.
The resultant can be hidden, and its rotation can be inverted. For the superposition principle to hold when adding field vectors, saturation effects are neglected.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


[1] S. Chapman, Electric Machinery Fundamentals, 4th ed., New York: McGraw-Hill, 2005.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2017 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+