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File:VFPt flat magnets gap.svg

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Summary

Description
English: Drawing of two homogeneously magnetized flat cylindrical magnets with exactly computed magnetic field lines. The two magnets are aligned on top of each other along the cylinder axis and with a narrow gap in-between. This configuration is often used as a dipole magnet to create a strong and roughly uniform magnetic field in the gap, for instance in cyclotrons.
Date
Source Own work
Author Geek3
Other versions field strength potential potential
SVG development
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This plot was created with VectorFieldPlot.
 
This file uses embedded text.
Source code
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Python code

# paste this code at the end of VectorFieldPlot 1.10
# https://commons.wikimedia.org/wiki/User:Geek3/VectorFieldPlot
doc = FieldplotDocument('VFPt_flat_magnets_gap', commons=True,
    width=800, height=800)
field = Field({'coils':[[0, 1, pi/2, 2, 0.5 ,1],
                        [0, -1, pi/2, 2, 0.5 ,1]]})

doc.draw_magnets(field)

# distribute field lines proportionally to the field strength at y=0
x0 = op.brentq(lambda x: field.F([x, 0.])[1], 0, 3)
Fsum = ig.quad(lambda x: field.F([x, 0.])[1], -x0, x0)[0]
nlines = 22
xstart = [op.brentq(lambda xs: ig.quad(lambda x: field.F([x, 0.])[1],
    -x0, xs)[0] / Fsum - (0.2+i)/(nlines-0.6), -x0, x0) for i in range(nlines)]

for i, x in enumerate(xstart):
    line = FieldLine(field, [x, 0.], directions='both', maxr=12)
    if i < 2 or nlines - i <= 2:
        min_arrows = 4
    else:
        min_arrows = 3
    doc.draw_line(line, arrows_style={'dist':3, 'min_arrows':min_arrows,
        'offsets':[1, 0.5, 0.5, 0], 'scale':1.3})

for x0, y0 in ((-1, -1), (-1, 1), (1, -1), (1, 1)):
    line = FieldLine(field, [2.3 * x0, 1. * y0], directions='both', maxr=5)
    doc.draw_line(line, arrows_style={'dist':2,
        'offsets':[1, 0.5, 0.5, 0], 'scale':1.3})

doc.write()

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You are free:
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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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16 December 2018

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Date/TimeThumbnailDimensionsUserComment
current17:25, 16 December 2018Thumbnail for version as of 17:25, 16 December 2018800 × 800 (66 KB)Geek3User created page with UploadWizard

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