9846

Feynman's Relativistic Electrodynamics Paradox

A charged particle is located on the axis with its velocity pointing along the axis. Another charged particle is also located on the axis, but with its velocity pointing along the negative axis. The net relativistic electric force on both particles is given by , where is the Coulomb constant, is the factor , is the charge, and is the position of the particle. 
The relativistic magnetic force of particle 2 on 1 is . The magnetic force of particle 1 on 2 is zero. The momentum of the electromagnetic field is given by the time derivative of the vector potential in the Coulomb gauge, . The sum of all three terms is zero and shows momentum conservation. The contour lines show the relativistic Liénard–Wiechert potential for each charge.

SNAPSHOTS

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

DETAILS

For more information see A. Caprez and H. Batelaan, "Feynman's Relativistic Electrodynamics Paradox and the Aharonov-Bohm Effect," Foundations of Physics 39(3), 2009 pp. 295–306.
    • 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.









 
RELATED RESOURCES
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 © 2014 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+