File:VFPt flat cylinder magnet potential+contour.svg
| Uploaded by | Geek3 |
|---|---|
| Upload date | 2019-10-03T09:19:53Z |
| MIME type | image/svg+xml |
| Dimensions | 800 × 800 px |
| File size | 181.0 KB |
Summary
| 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 |  This plot was created with VectorFieldPlot. |
| Source code | 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
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.