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File:VFPt maxwell coil.svg

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Original file (SVG file, nominally 800 × 600 pixels, file size: 43 KB)

Summary

Description
English: Magnetic field around a maxwell coil consisting of three round current loops symetric around their common axis. This arrangement removes variations in the magnetic field, up to its 6th-order derivative with respect to the center.

The radius of the small loops is times the radius of the big coils. The axial distance of the small loops from the big loop is times the radius of the big coils. The current through the small loops is 49/64 times the current through the big loop.

The dots symbolize where the current flows out of the image plane, whereas the crosses are where the current flows into the plane.
Date
Source Own work
Author Geek3
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.

Quality image

This image has been assessed using the Quality image guidelines and is considered a Quality image.

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Source code
InfoField

SVG code

# paste this code at the end of VectorFieldPlot 1.0
doc = FieldplotDocument('VFPt_maxwell_coil', width=800, height=600, commons=True)
field = Field({'ringcurrents':[[0,0,0,sqrt(1.75),1],
    [-sqrt(0.75),0,0,1,49./64.], [sqrt(0.75),0,0,1,49./64.]]})
y0 = sqrt(1.75) - 0.14
s = ig.quad(lambda y: field.F([0.0, y])[0], -y0, y0)[0]
n = 17
for i in range(n):
    a = i / (n - 1.)
    y = op.brentq(lambda y1: ig.quad(lambda y: field.F([0.0, y])[0], -y0, y1)[0] - a * s, -y0, y0)
    if i == 2 or i == n - 3: of = 0.0
    else: of = 0.5
    line = FieldLine(field, [0.0, y], directions='both', maxr=20.0)
    doc.draw_line(line, arrows_style={'dist':1.9, 'offsets':[0+of, 0.5, 0.5, 1-of]})
doc.draw_currents(Field({'ringcurrents':[ [-sqrt(0.75),0,0,1,49./64.],
                  [sqrt(0.75),0,0,1,49./64.]]}), scale=sqrt(49./64.))
doc.draw_currents(Field({'ringcurrents':[ [0,0,0,sqrt(1.75),1]]}))
doc.write()

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
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.
You may select the license of your choice.

Captions

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Items portrayed in this file

depicts

Maxwell coil

inception

May 2010

media type

image/svg+xml

File history

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

Date/TimeThumbnailDimensionsUserComment
current20:42, 13 March 2018Thumbnail for version as of 20:42, 13 March 2018800 × 600 (43 KB)Geek3smaller symbols for smaller currents
20:39, 13 March 2018Thumbnail for version as of 20:39, 13 March 2018800 × 600 (43 KB)Geek3smaller symbol for smaller current
14:28, 29 April 2017Thumbnail for version as of 14:28, 29 April 2017800 × 600 (34 KB)Geek3validator fix
20:47, 2 June 2010Thumbnail for version as of 20:47, 2 June 2010800 × 600 (34 KB)Geek3VFPt_maxwell_coil

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