File:VFPt maxwell coil.svg

Summary

{{Information

|description=

English: Magnetic field around a maxwell coil consisting of three round current loops symetric around their common axis. This arrangement removes variations in the magnetic field, up to its 6th-order derivative with respect to the center.

The radius of the small loops is times the radius of the big coils. The axial distance of the small loops from the big loop is times the radius of the big coils. The current through the small loops is 49/64 times the current through the big loop.

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

|source=Own work |author=Geek3 |date=2010-05 |other fields={{Igen|^|VectorFieldPlot|0|+|c1=

  1. paste this code at the end of VectorFieldPlot 1.0

doc = FieldplotDocument('VFPt_maxwell_coil', width=800, height=600, commons=True) field = Field({'ringcurrents':[[0,0,0,sqrt(1.75),1],

   [-sqrt(0.75),0,0,1,49./64.], [sqrt(0.75),0,0,1,49./64.]]})

y0 = sqrt(1.75) - 0.14 s = ig.quad(lambda y: field.F([0.0, y])[0], -y0, y0)[0] n = 17 for i in range(n):

   a = i / (n - 1.)
   y = op.brentq(lambda y1: ig.quad(lambda y: field.F([0.0, y])[0], -y0, y1)[0] - a * s, -y0, y0)
   if i == 2 or i == n - 3: of = 0.0
   else: of = 0.5
   line = FieldLine(field, [0.0, y], directions='both', maxr=20.0)
   doc.draw_line(line, arrows_style={'dist':1.9, 'offsets':[0+of, 0.5, 0.5, 1-of]})

doc.draw_currents(Field({'ringcurrents':[ [-sqrt(0.75),0,0,1,49./64.],

                 [sqrt(0.75),0,0,1,49./64.]]}), scale=sqrt(49./64.))

doc.draw_currents(Field({'ringcurrents':[ [0,0,0,sqrt(1.75),1]]})) doc.write() }} }}

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