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File:VFPt metal ball neutral transparent.svg

Original file ‎(SVG file, nominally 800 × 600 pixels, file size: 20 KB)

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Description
English: Field of a positive point charge influenced by a neutral conducting metal sphere. Inside the transparent sphere, mirror charges are shown, which create exactly the correct field outside the sphere. These charges do not really exist, as well as the field lines inside the sphere. They just help to calculate the outside field.
Date
Source Own work
Author Geek3
Other versions VFPt metal ball neutral.svg
SVG development
InfoField
 
The source code of this SVG is invalid due to VectorFieldPlot errors.
 
This W3C-invalid vector image was created with Inkscape, or with something else.

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Source code
InfoField

SVG code

VectorFieldPlot source code 
# paste this code at the end of VectorFieldPlot 1.0
R = 1.0
doc = FieldplotDocument('VFPt_metal_ball_neutral', commons=True, unit=120)
field = Field({'monopoles':[[-1,0,1]]}); doc.draw_charges(field)
field = Field({'monopoles':[[1-R**2/2,0,-R/2], [1,0,R/2]]}); doc.draw_charges(field, scale=sqrt(R/2))
field = Field({'monopoles':[[-1,0,1], [1-R**2/2,0,-R/2], [1,0,R/2]]})
Rs = 10
Fs = ig.quad(lambda phi2: sc.dot(rot([1,0], phi2), field.F(
    sc.array(rot([Rs,0], phi2)))), 0, 2*pi)[0]
n = 20
for i in range(n):
    a = (0.5 + i) / n
    phi = op.brentq(lambda phi1: ig.quad(lambda phi: sc.dot(rot([1,0], phi), field.F(
        rot([Rs,0], phi))), 0, phi1)[0] - a * Fs, 0, 2*pi)
    line = FieldLine(field, [Rs*cos(phi), Rs*sin(phi)], directions='backward')
    d = 0.5
    if i in [0, 1, 2, n-3, n-2, n-1]: d = 1
    doc.draw_line(line, arrows_style={'dist':1.5, 'min_arrows':1,
        'offsets':[d, 0.5, 0.5, 0.5], 'fixed_ends':[True,False,False,False]})
n = n / 2
for i in range(n):
    a = 2.0 * ((0.5 + i) / n - 0.5)
    phi = pi * (0.7*a + 0.3*a**3)
    line = FieldLine(field, [1-R**2/2,0], start_v=[cos(phi), sin(phi)], directions='backward')
    doc.draw_line(line, arrows_style={'min_arrows':1, 'max_arrows':1})
doc.draw_object('circle', {'cx':1, 'cy':0, 'r':R,
    'style':'fill:#aaa; stroke:#444; stroke-width:0.02; opacity:0.75'})
doc.write()

Licensing edit

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
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Date/TimeThumbnailDimensionsUserComment
current22:17, 17 June 2010Thumbnail for version as of 22:17, 17 June 2010800 × 600 (20 KB)Geek3 (talk | contribs)VFPt_metal_ball_neutral_transparent

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