VFPt_dipole_animation_electric.gif


Summary

Description
English: Animation showing the electric field of an electric dipole. The dipole consists of two point electric charges of opposite polarity located close together. A transformation from a point-shaped dipol to a finite-size electric dipole is shown.
Date
Source Own work
Author Geek3
Other versions
GIF development
InfoField
This plot was created with VectorFieldPlot .
Source code
InfoField

Python code

# paste this code at the end of VectorFieldPlot 1.2
frames = 50
d = 0.35 # animation amplitude
r = 7.5 # charge radius

# iterate frames
for i in range(frames):
    doc = FieldplotDocument('VFPt_dipole_animation_electric_{0:0>2}'.format(i),
        commons=True, width=220, height=220, unit=100)
    a = sin(i*pi/frames) * 0.75 - 0.25 * sin(3.0 * i*pi/frames)
    
    if i == 0:
        # pointlike dipole
        field = Field({'dipoles':[[0,0,1,0]]})
    else:
        # electric dipole
        field = Field({'monopoles':[[-d*a,0,-0.5/(d*a)], [d*a,0,0.5/(d*a)]]})
        doc.draw_charges(field, scale=r/14)
    if d * a < r / doc.unit:
        # draw dipole symbol
        symb = doc.draw_object('g', {'id':'dipole_symbol', 
            'transform':'scale({0},{0})'.format(
            sqrt(1.0/doc.unit**2-(d*a/r)**2))})
        defs = doc.draw_object('defs', {}, group=symb)
        spot = doc.draw_object('radialGradient', {'id':'light_spot',
            'cx':'0.65', 'cy':'0.7', 'r':'0.75'}, group=defs)
        for col, of in [['#fff', '0'], ['#ddd', '0.15'],
                        ['#aaa', '0.7'], ['#444', '1']]:
            doc.draw_object('stop', {'stop-color':col, 'offset':of}, group=spot)
        doc.draw_object('circle', {'cx':'0', 'cy':'0', 'r':str(r),
            'style':'fill:url(#light_spot); stroke:#000000; stroke-width:1'}, group=symb)
        doc.draw_object('path', {'style':'fill:#000000; stroke:none',
            'd':'M -4,1 H 0 V 4 L 5,0 L 0,-4 V -1 H -4 V 1 Z'}, group=symb)
    
    n = 20
    # iterate fieldlines
    for j in range(n):
        t = -1.0 + 2.0 * (j + 0.5) / n
        y = 0.25 * ((t-1)**-2 - (t+1)**-2) - 0.3*t
        line = FieldLine(field, [0, y],
            directions='both', maxr=1e4, maxn=2e4)
        doc.draw_line(line, linewidth=1.0,
            arrows_style={'dist':1.25, 'scale':1.1, 'max_arrows':2})
    
    doc.write(filename='anims/' + doc.name)
for i in anims/*.svg; do rsvg -w1760 -h1760 $i $(echo $i | sed s/svg/png/) && convert -scale 220x220 $(echo $i | sed s/svg/png/) $(echo $i | sed s/svg/gif/); done
gifsicle -d5 -l0 --colors 256 --comment "http://commons.wikimedia.org/wiki/File:VFPt_dipole_animation_electric.gif" anims/*.gif > VFPt_dipole_animation_electric.gif

Licensing

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
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  • to share – to copy, distribute and transmit the work
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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.
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October 2010

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