11266
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
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
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 Demonstrations
More by Author
Electrostatic Orbits
Stefan McCarty
The Solenoid
Enrique Zeleny
Van de Graaff Generator
Enrique Zeleny
Relaxation Method for Electrostatic Problems
Enrique Zeleny
Electromagnetic Ring Toss
S. M. Blinder
Electric Field Generated by Two Point Charges
Enrique Zeleny
Visualizing the Thomson Problem
Mark Peterson
Wimshurst Machine
Enrique Zeleny
Charged Particle in a Constant Electric Field Produced by Two Plates
Enrique Zeleny
Repulsion of Charged Pith Balls
Enrique Zeleny
Related Topics
3D Graphics
Electrostatics
Browse all topics
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+