File:VFPt four magnets.svg

Original file ‎(SVG file, nominally 800 × 800 pixels, file size: 77 KB)

Summary

Description
English: Drawing of four homogeneously magnetized cylindrical magnets of different aspect ratios with exactly computed magnetic field lines. The magnetic north poles are aligned on top and the magnetic south poles on the bottom, with magnetization along the cylinder axes. The cylinder dimensions are:
, , ,
Date
Source Own work
Author Geek3
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
RL = [ [0.1, 1.], [0.4, 0.7], [0.7, 0.4], [1.0, 0.1] ]

for i, (R, L) in enumerate(RL):
    doc = FieldplotDocument('VFPt_four_magnets' + str(i+1), commons=True,
        width=380, height=380)
    
    field = Field([ ['coil', {'x':0, 'y':0, 'phi':pi/2,
        'R':R, 'Lhalf':L, 'I':2.*L}] ])
    field_pot = Field([
        ['charged_disc', {'x0':-R, 'x1':R, 'y0':L, 'y1':L, 'Q':pi*R**2}],
        ['charged_disc', {'x0':-R, 'x1':R, 'y0':-L, 'y1':-L, 'Q':-pi*R**2}] ])
    
    nlines = 11
    V0 = field_pot.V([0., 1.9 * 0.6 + 0.4 * L])
    for iline in range(nlines):
        p0 = sc.array([R * (2. * (iline + 0.5) / nlines - 1.), 0.])
        line = FieldLine(field, p0, directions='both', maxr=100)
        arrow_potentials = [0.]
        if iline > 0 and iline < nlines -1:
            arrow_potentials += [-V0, V0]
        doc.draw_line(line, maxdist=1,
            arrows_style={'at_potentials':arrow_potentials,
                'potential':field_pot.V,
                'condition_func':lambda xy: fabs(xy[0])>R or fabs(xy[1])>L})
    
    doc.draw_magnets(field)
    doc.draw_object('rect', {'x':'-1.9', 'y':'-1.9', 'width':'3.8',
        'height':'3.8', 'style':'fill:none; stroke:#aaaaaa; stroke-width:0.03;'})
    
    doc.write()

Licensing

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author name string: Geek3
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1 November 2019

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Date/TimeThumbnailDimensionsUserComment
current13:09, 1 November 2019800 × 800 (77 KB)Geek3User created page with UploadWizard
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