Rotating Magnetic Field

This Demonstration shows how combining two or three magnetic fluxes varying in space and time can be used to generate a rotating magnetic field inside an electrical device. The horizontal axis gives the angle in degrees measured from a fixed axis and the vertical axis gives the magnitude of the flux. So at a given time, the graphs for , , and give the variation of these fluxes with the angle. The green curve gives the resultant sum of the fluxes.


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


The fluxes vary as , where is the angle from the fixed axis, is the angle of the orientation of the coil creating that flux (or the angle for peak flux), and is the time varying amplitude of the flux, with phase shift of . By changing the slider for space angle, you can change the orientation of the coils in space so that the maximum flux is produced at different angles. Hence, the peaks of the graph for , , and represent the orientation of the coils and hence are fixed. Only the amplitudes of , , and change with time. The controls for the time phase angles specify what time delay is needed for that particular flux to reach its maximum. Only through intelligent choices of the space angles and time delay angles is it possible to combine those fluxes to create a rotating magnetic field. But, not to worry, presets are available.
    • 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 © 2018 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+