File:VFPt charged-wires hexapole potential+contour.svg

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Original file ‎(SVG file, nominally 600 × 600 pixels, file size: 294 KB)

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Summary[edit]

Description
English: Electric field and potential around six infinitely long charged wires with alternating charges. This configuration may be used as a hexapole guide for low-field seeking particles.
Date
Source Own work
Author Geek3
SVG development
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The SVG code is valid.
 
This plot was created with VectorFieldPlot.
Source code
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Python code

# paste this code at the end of VectorFieldPlot 3.1
# https://commons.wikimedia.org/wiki/User:Geek3/VectorFieldPlot
doc = FieldplotDocument('VFPt_charged-wires_hexapole_potential+contour',
    width=600, height=600, commons=True)
nw = 6
r = 2.0
a0 = 0.
rods = [{'x':r * cos(2*pi*i/nw + a0), 'y':r * sin(2*pi*i/nw + a0),
         'q':1 - 2 * (i % 2)} for i in range(nw)]
field = Field([ ['charged_wire', rod] for rod in rods])
doc.draw_charged_wires(field, scale=2)

spath = Startpath(field, lambda t: sc.array([
    r * cos(a0) + r * sin(pi/nw) * cos(2*pi*t + a0),
    r * sin(a0) + r * sin(pi/nw) * sin(2*pi*t + a0)]), t0=0.0, t1=1)

nl = 20
for i in range(nl):
    a = (i + 0.5) / nl
    for m in range(0, nw, 2):
        line = FieldLine(field, rot(spath.startpos(a), 2*pi*m/nw),
            directions='both')
        doc.draw_line(line, linewidth=2.4, arrows_style={'dist':1.7, 'scale':1.2,
            'offsets':[0.6, 0.5, 0.5, 0.6]})

U0 = field.V([(r + 0.3) * cos(a0), (r + 0.3) * sin(a0)])
U1 = field.V([(r + 0.295) * cos(a0), (r + 0.295) * sin(a0)])
doc.draw_scalar_field(func=field.V, cmap=doc.cmap_AqYlFs,
    vmin=-U0, vmax=U0)
doc.draw_contours(func=field.V, linewidth=1, linecolor='#111111',
    levels=sc.linspace(-U1, U1, 17)[1:-1], attributes={'opacity':'0.7'})

doc.write()

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • 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.
  • 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
current17:46, 4 June 2020Thumbnail for version as of 17:46, 4 June 2020600 × 600 (294 KB)Geek3 (talk | contribs)Uploaded own work with UploadWizard

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