File:VFPt flat cylinder magnet potential+contour.svg
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 | |
| 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()
|
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