Orbit of a Test Charge in the Field of a Charged Ring

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This Demonstration shows plots of the orbits of a test charge in the field of a charged ring for different initial conditions.

Contributed by: Enrique Zeleny (August 2012)
Based on a program by: Michael Trott
Open content licensed under CC BY-NC-SA


Snapshots


Details

The potential is

,

with

,

,

,

where is the charge, is the permittivity of free space, is the radius of the circle, and is the complete elliptic integral of the first kind.



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