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Orbit of a Test Charge in the Field of a Charged Ring
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
Based on a program by:
Michael Trott
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Gamepad Controls
Automatic Animation
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.
RELATED LINKS
Charge
(
ScienceWorld
)
Permittivity of Free Space
(
ScienceWorld
)
Electric Field
(
ScienceWorld
)
Potential
(
ScienceWorld
)
Charged Circle
(
Wolfram|Alpha
)
Complete Elliptic Integral of the First Kind
(
Wolfram
MathWorld
)
On the Importance of Being Edgy—Electrostatic and Magnetostatic Problems with Sharp Edges
(
Wolfram Blog
)
PERMANENT CITATION
Enrique Zeleny
"
Orbit of a Test Charge in the Field of a Charged Ring
"
http://demonstrations.wolfram.com/OrbitOfATestChargeInTheFieldOfAChargedRing/
Wolfram Demonstrations Project
Published: August 27, 2012
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