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English: Magnetic field around a Braunbek coil consisting of four round current loops with identical current, which are aligned around a common symmetry axis. This arrangement removes variations in the magnetic field, up to its 7th-order derivative with respect to the center, making it the smoothest possible field achievable with four circular coils of identical current.

The inner loops have an axial position $z_{1}=\pm 0.27803\,R_{1}$ and radius $R_{1}$ . The outer loops have an axial position $z_{2}=\pm 0.84566\,R_{1}$ and radius $R_{2}=0.76390\,R_{1}$ . The current through all loops is $I$ . The central magnetic field is $B_{0}=1.28861\mu _{0}I/R_{1}$ .

The dots symbolize where the current flows out of the image plane, whereas the crosses are where the current flows into the plane.

|date=2018-03-13 |source=Own work |author=Geek3 |permission= |other versions= |other fields={{Igen|VectorFieldPlot|0|+|c1=

paste this code at the end of VectorFieldPlot 1.7

doc = FieldplotDocument('VFPt_braunbek_coil', commons=True) field = Field({'ringcurrents':[[-0.8457,0,0,0.7639,1], [-0.2780,0,0,1,1],

              [0.2780,0,0,1,1], [0.8457,0,0,0.7639,1]]})

for x0, y0, off in [[-0.2780, -0.908, 0], [0.2780, -0.908, 0],

   [0.,-0.9067,0], [0.,-0.7451,0], [0.,-0.6065,.5], [0.,-0.4714,.5],
   [0.,-0.3367,.5], [0.,-0.2020,.5], [0.,-0.0673,.5], [0.,0.0673,.5],
   [0.,0.2020,.5], [0.,0.3367,.5], [0.,0.4714,.5], [0.,0.6065,.5],
   [0.,0.7451,0], [0.,0.9067,0], [-0.2780, 0.908, 0], [0.2780, 0.908, 0]]:
   line = FieldLine(field, [x0, y0], directions='both', maxr=8)
   doc.draw_line(line, arrows_style={'dist':2,
       'min_arrows':2, 'max_arrows':4, 'offsets':[off,0.5,0.5,1.0-off]})

doc.draw_currents(field) doc.write() }} }}

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Category:CC-BY-SA-4.0#VFPt%20braunbek%20coil.svg

Category:Self-published work Category:Helmholtz coils Category:Magnetic fields around current loops Category:Photos by User:Geek3 Category:VFPt electric and magnetic fields (image set)

Wikimore

File:VFPt braunbek coil.svg

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