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File:VFPt cylindrical magnet thumb potential+contour.svg

Original file ‎(SVG file, nominally 220 × 165 pixels, file size: 45 KB)

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Description
English: Magnetic field of an ideal cylindrical magnet with its axis of symmetry inside the image plane. The shape of the magnetic field lines is accurately computed, assuming uniform magnetization along the symmetry 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.
This is a thumbnail version optimized for 220px.
Date
Source Own work
Author Geek3
Other versions VFPt_cylindrical_magnet_thumb_potential.svg
SVG development
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This plot was created with VectorFieldPlot.
Source code
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Python code

VectorFieldPlot source 
# paste this code at the end of VectorFieldPlot 2.4
doc = FieldplotDocument('VFPt_cylindrical_magnet_thumb_potential+contour',
    width=220, height=165, unit=30, commons=True)
r = 0.5 + 0.5 / 30
Lhalf = 1.5
# note: the two fields are identical outside the magnetized volume
field_B = Field([ ['coil', {'x':0, 'y':0, 'phi':0, 'R':r, 'Lhalf':Lhalf, 'I':1./(pi*r**2)}] ])
field_H = Field([ ['charged_disc', {'x0':Lhalf, 'y0':-r, 'x1':Lhalf, 'y1':r, 'Q':.5/Lhalf}],
                 ['charged_disc', {'x0':-Lhalf, 'y0':-r, 'x1':-Lhalf, 'y1':r, 'Q':-.5/Lhalf}] ])

doc.draw_magnets(field_B)
U0 = field_H.V([Lhalf+1./30., 0])
doc.draw_scalar_field(func=field_H.V, cmap=doc.cmap_AqYlFs, vmin=-U0, vmax=U0)
U1 = field_H.V([Lhalf, 0])
doc.draw_contours(func=field_H.V, levels=sc.linspace(-U1, U1, 17)[1:-1],
    linewidth=0.5, linecolor='#555555')

nlines = 13
for iline in range(nlines):
    a = -1 + 2 * (0.5 + iline) / nlines
    line = FieldLine(field_B, [0, r * a], directions='both', maxr=10.0)
    if iline in [0, nlines-1]:
        ars = {'dist':2.5, 'scale':1.4, 'offsets':{'start':1,
            'end':1, 'leave_image':0.3, 'enter_image':0.3} }
    else:
        ars = {'scale':1.4, 'at_potentials':[-U_arrow, U_arrow],
            'potential':field_H.V,
            'condition_func':lambda xy: fabs(xy[0])>Lhalf or fabs(xy[1])>r }
    doc.draw_line(line, linewidth=1, maxdist=1, arrows_style=ars)
doc.write()

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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
current19:55, 9 October 2019Thumbnail for version as of 19:55, 9 October 2019220 × 165 (45 KB)Geek3 (talk | contribs)User created page with UploadWizard

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