File:VFPt sphere-magnet-Sup.svg
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Original file (SVG file, nominally 600 × 600 pixels, file size: 32 KB)
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Summary edit
| Description |
English: Drawing of a homogeneously magnetized spherical magnet with exactly computed magnetic field lines. A spherical magnet has the remarkable property that its field outside the magnet is identical to that of an ideal point-like dipole. Inside the magnetized volume, the field is exactly constant and aligned along the north-south axis. The magnetic south pole is aligned on top and the magnetic north pole on the bottom. |
| Date | |
| Source | Own work |
| Author | Geek3 |
| Other versions |
 |
| SVG development | |
| Source code | Python code# paste this code at the end of VectorFieldPlot 1.8
doc = FieldplotDocument('VFPt_sphere-magnet-Sup', commons=True,
width=600, height=600)
x0, y0 = 0.0, 0.0
R = 1.0
def spheremagnet_field(xy):
p = sc.array((0., -1.))
r = xy - sc.array((x0, y0))
d = vabs(r)
if d < R:
# inside the field is indeed constant
Fxy = p / (2. * pi * R**3)
else:
# outside the field is exatly that of a point-dipole
Fxy = (3. * sc.dot(p, r) * r - sc.dot(r, r) * p) / (4.*pi*d**5)
return Fxy
field = Field({'custom':[spheremagnet_field]})
n = 20
for i in range(n):
p0 = (R * (2 * (i + 0.5) / n - 1), 0.)
line = FieldLine(field, p0, directions='both', maxr=7)
doc.draw_line(line, arrows_style={'dist':2.0,
'max_arrows':2, 'offsets':[0.9, 0.3, 0.3, 0.9], 'scale':1.25})
# draw the spherical magnet
g = doc.draw_object('g', {'id':'sphere',
'transform':'translate({},{})'.format(x0, y0)})
defs = doc.draw_object('defs', {}, group=g)
grad = doc.draw_object('radialGradient', {'id':'grad', 'r':str(1.2*R),
'cx':'0', 'cy':str(0.2*R), 'fx':'0', 'fy':str(0.6*R),
'gradientUnits':'userSpaceOnUse'}, group=defs)
for col, of, opa in [['#ffffff', '0', '0.7'], ['#ffffff', '0.04', '0.6'],
['#ffffff', '0.11', '0.4'], ['#ffffff', '0.22', '0.2'],
['#555555', '0.7', '0.3'], ['#000000', '1', '0.6']]:
stop = doc.draw_object('stop', {'stop-color':col, 'offset':of,
'stop-opacity':opa}, group=grad)
clip = doc.draw_object('clipPath', {'id':'circle_clip'}, group=defs)
doc.draw_object('circle', {'cx':'0', 'cy':'0', 'r':str(R)}, group=clip)
gc = doc.draw_object('g', {'clip-path':'url(#circle_clip)'}, group=g)
doc.draw_object('circle', {'cx':'0', 'cy':'0', 'r':str(R),
'style':'fill:#ff0000; stroke:none;'}, group=gc)
doc.draw_object('path', {'d':'M -1,0 A 1,1 0 0 0 1,0 L -1,0 Z',
'style':'fill:#00cc00; stroke:none;'}, group=gc)
text_S = doc.draw_object('text', {'text-anchor':'middle', 'x':'0', 'y':'0',
'transform':'translate({},{}) scale({},{})'.format(0, 0.56*R-0.2, 0.05, -0.05),
'style':'fill:#000000; stroke:none; ' +
'font-size:12px; font-family:Bitstream Vera Sans;'}, group=g)
text_S.text = 'S'
text_N = doc.draw_object('text', {'text-anchor':'middle', 'x':'0', 'y':'0',
'transform':'translate({},{}) scale({},{})'.format(0, -0.56*R-0.2, 0.05, -0.05),
'style':'fill:#000000; stroke:none; ' +
'font-size:12px; font-family:Bitstream Vera Sans;'}, group=g)
text_N.text = 'N'
doc.draw_object('circle', {'cx':'0', 'cy':'0', 'r':str(R),
'style':'fill:url(#grad); stroke:none;',
'transform':'rotate(30) scale(1.4,1)'}, group=gc)
doc.draw_object('circle', {'cx':'0', 'cy':'0', 'r':str(R),
'style':'fill:none; stroke:#000000; stroke-width:0.04;'}, group=g)
doc.write()
|
Licensing edit
I, the copyright holder of this work, hereby publish it under the following license:
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/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:47, 14 July 2018 | | 600 × 600 (32 KB) | Geek3 (talk | contribs) | User created page with UploadWizard |
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