File:VFPt flat magnets gap.svg

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Original file (SVG file, nominally 800 × 800 pixels, file size: 66 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description
English: Drawing of two homogeneously magnetized flat cylindrical magnets with exactly computed magnetic field lines for the case of vanishing susceptibility (). 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
InfoField
 The SVG code is valid.
 This plot was created with VectorFieldPlot.
 This file uses embedded text.
Source code
InfoField

Python code

Python VectorFieldPlot 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()

Licensing

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
  • 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.

Captions

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Items portrayed in this file

depicts

dipole magnet

inception

16 December 2018

media type

image/svg+xml

data size

67,572 byte

checksum

ba57f5cc097ab7c4fd8895199f39a59b359080f8

determination method or standard: SHA-1

File history

Click on a date/time to view the file as it appeared at that time.

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

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