Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
NoahH`CreateCoil`
EllipseCoilPlot  |
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Details and Options
Examples
(7)
Basic Examples
(4)
Plot a schematic of an ellipse coil optimised to generate the (i.e. , ) field harmonic, with a radius of 0.1 metres:
B
1, 1
n=1
m=1
In[1]:=
 | EllipseCoilPlot |
Out[1]=
Contents cannot be rendered at this time; please try again later
In[1]:=
sols=
[{1,-1},{2,1},{0.1,1.32},{0.1,0.5},"CoilsReturned"3]
 | FindEllipseCoil |
Out[1]=
{{Coilχc[1]0.464584,Coilχc[2]0.596781,Coilψc[1]0.282267,Coilψc[2]0.499178,DesToErr3.51843},{Coilχc[1]0.465795,Coilχc[2]0.595184,Coilψc[1]0.283759,Coilψc[2]0.496138,DesToErr3.51223},{Coilχc[1]0.467115,Coilχc[2]0.593459,Coilψc[1]0.285394,Coilψc[2]0.492857,DesToErr3.50568}}
In[2]:=
| EllipseCoilPlot |
Out[2]=
Contents cannot be rendered at this time; please try again later
Use thicker lines, coloured differently for each coil primitive (wires with the same , , and ) to better distinguish between them:
χ
c
ψ
c
i
χ
In[1]:=
sol=First@
[{1,-1,1},{1,1},{0.1,1.32},{0.1,0.5}]
 | FindEllipseCoil |
Out[1]=
{Coilχc[1]0.404902,Coilχc[2]0.634479,Coilχc[3]0.923345,Coilψc[1]0.367712,Coilψc[2]0.443897,Coilψc[3]0.49795,DesToErr62.09}
In[2]:=
| EllipseCoilPlot |
Out[2]=
Contents cannot be rendered at this time; please try again later
The azimuthal periodicity of higher-degree field harmonics may be matched via construction of the elliptical basis. For example, the field harmonic is generated by ellipses with two-fold azimuthal symmetry:
B
2, 2
In[1]:=
| EllipseCoilPlot |
Out[1]=
Contents cannot be rendered at this time; please try again later