10182

# Generating a Rotating Field by Superposition of Three Alternating Fields

Rotating magnetic fields are employed in various electrical machines, for example, induction motors and synchronous motors. This Demonstration shows a rotating field that is generated by superposition of three alternating fields. The alternating fields can be decomposed into clockwise-rotating and counterclockwise-rotating components.

### DETAILS

The left diagram shows a rotating field (brown vector) that is the vector sum of three alternating fields (black vectors). The rotating field is circular if:
1. the spatial directions of the alternating fields differ by 120 degrees
2. the phases of the alternating fields differ by 120 degrees
3. the alternating fields have equal amplitudes
If one of the alternating fields has an amplitude error or a phase error, the resulting rotating field is elliptical. (Try the sliders "amplitude error" and "phase error" to check this.)
The right diagram shows the vector sum of the clockwise-rotating (green vectors) and counterclockwise-rotating (blue vectors) components of the three alternating fields.

### PERMANENT CITATION

 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 » Download Demonstration as CDF » Download Author Code »(preview ») Files require Wolfram CDF Player or Mathematica.

#### Related Topics

 RELATED RESOURCES
 The #1 tool for creating Demonstrations and anything technical. Explore anything with the first computational knowledge engine. The web's most extensive mathematics resource. An app for every course—right in the palm of your hand. Read our views on math,science, and technology. The format that makes Demonstrations (and any information) easy to share and interact with. Programs & resources for educators, schools & students. Join the initiative for modernizing math education. Walk through homework problems one step at a time, with hints to help along the way. Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Knowledge-based programming for everyone.