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
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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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