File:VFPt flat cylinder magnet potential+contour.svg

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Original file (SVG file, nominally 800 × 800 pixels, file size: 181 KB)

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Description
English: Drawing of a homogeneously magnetized flat cylindrical magnet with exactly computed magnetic field lines. The cylinder has the proportions R/L=2. The magnetic north pole is aligned on top and the magnetic south pole on the bottom, with magnetization along the cylinder axis. The magnetic scalar potential 𝜓 is shown in the background from positive (fuchsia) through zero (yellow) to negative (aqua) together with uniformely spaced equipotential lines. Note that the field lines follow the gradient of the scalar potential.
Date
Source Own work
Author Geek3
Other versions VFPt flat cylinder magnet potential.svg
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 2.4
# https://commons.wikimedia.org/wiki/User:Geek3/VectorFieldPlot
doc = FieldplotDocument('VFPt_flat_cylinder_magnet_potential+contour',
    commons=True, width=800, height=800)

R, L2 = 2., 0.5
Bfield = Field({'coils':[ [0, 0, pi/2, R, L2 ,1]]})
Hfield = Field([ ['charged_disc', {'x0':-R, 'y0':-L2, 'x1':R, 'y1':-L2, 'Q':-1}],
                 ['charged_disc', {'x0':-R, 'y0':L2, 'x1':R, 'y1':L2, 'Q':1}] ])

doc.draw_magnets(Bfield)

U0 = Hfield.V([0., L2 + 0.02])
doc.draw_scalar_field(func=Hfield.V, cmap=doc.cmap_AqYlFs, vmin=-U0, vmax=U0)
U1 = Hfield.V([0., L2])
doc.draw_contours(func=Hfield.V, levels=sc.linspace(-U1, U1, 11)[1:-1])

nlines = 22
startpoints = Startpath(Bfield, lambda t: sc.array([-R + 2. * R * t, 0.])
    ).npoints(nlines)
cond = lambda xy: fabs(xy[1]) < 1e-2 or fabs(xy[1]) > 0.5

for iline, p0 in enumerate(startpoints):
    line = FieldLine(Bfield, p0, directions='both', maxr=12)
    arrows_style = {'dist':2.5}
    if iline >= 5 and iline < nlines - 5:
        arrows_style = {'potential':Hfield.V,
            'at_potentials':[-0.68*U1, -0.17*U1, 0.17*U1, 0.68*U1],
            'condition_func':cond}
    doc.draw_line(line, linewidth=2.4, arrows_style=arrows_style)

doc.write()

Licensing

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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.

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Date/TimeThumbnailDimensionsUserComment
current09:19, 3 October 2019Thumbnail for version as of 09:19, 3 October 2019800 × 800 (181 KB)Geek3 (talk | contribs)User created page with UploadWizard

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