File:Leiterschaukel-lorentz-force-combined-field.svg

Summary

 
The SVG code is valid.
 
This vector image was created with Inkscape-default
Category:Valid SVG created with Inkscape#Leiterschaukel-lorentz-force-combined-field.svgCategory:Created with Inkscape-default
 
and with Inkscape.
Category:SVG created also with Inkscape
Description
English: Leiterschaukel lorentz force (combined horseshoe and wire field)
Date
Source Own work
Author MikeRun
Other versions
SVG development
InfoField
Source code
InfoField

Python code

# paste this code at the end of VectorFieldPlot 3.0

doc = FieldplotDocument('VFPt_horseshoe-magnet-and-wire', commons=True,
    width=600, height=600)

x0, y0 = 0.0, -1.0
h = 2.0
R = 1.0
r = 0.3

field = Field({'charged_discs':[ [x0-R-r, y0+h, x0-R+r, y0+h, -1], [x0+R-r, y0+h, x0+R+r, y0+h, 1] ], 'wires':[[0,y0+h-0.05,-0.2]]})
doc.draw_currents(field)

def startpath(t):
    return sc.array([x0 + R - R*cos(t*2*pi), y0 + h + R*sin(t*2*pi)])
def dstartpath(t):
    return (startpath(t+1e-6) - startpath(t-1e-6)) / 2e-6
def FieldSum(t0, t1):
    return ig.quad(lambda t:
        sc.cross(field.F(startpath(t)), dstartpath(t)), t0, t1)[0]
Ftotal = FieldSum(0, 1)
def startpos(s):
    t = op.brentq(lambda t: FieldSum(0, t) / Ftotal - s, 0, 1)
    return startpath(t)

n = 24
for i in range(n):
    p0 = startpos((0.5 + i) / n)
    line = FieldLine(field, p0, directions='both', maxr=1000)
    fe = [True, False, False, True]
    if i in [0, 1, 2, n-1, n-2, n-3]:
        fe = [False, False, False, False]
    min_arrows = 1
    if i == n - 7:
        min_arrows = 3
    doc.draw_line(line, arrows_style={
                  'dist':2.0, 'fixed_ends':fe, 'min_arrows':min_arrows})

doc.write()

Licensing

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.
Category:CC-BY-SA-4.0#Leiterschaukel-lorentz-force-combined-field.svgCategory:Self-published work
Category:Magnetic force Category:Lorentz force Category:Horseshoe magnets
Category:CC-BY-SA-4.0 Category:Created with Inkscape-default Category:Horseshoe magnets Category:Lorentz force Category:Magnetic force Category:SVG created also with Inkscape Category:Self-published work Category:Valid SVG created with Inkscape Category:Valid SVG created with VectorFieldPlot code