File:Solenoid.png
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Size of this preview: 792 × 600 pixels. Other resolutions: 317 × 240 pixels | 634 × 480 pixels | 980 × 742 pixels.
Original file (980 × 742 pixels, file size: 196 KB, MIME type: image/png)
Summary
| Description |
English: shows the strength of the magnetic field as a function of the position in a solenoid. The coil has ten windings. the cutting plane goes through the center in axial direction.
Deutsch: Zeigt die B-Feldstärke als eine Funktion des Ortes in einer Zylinderspule mit zehn Windungen. Die Schnittebene geht durch das Zentrum in axialer Richtung. |
| Date | |
| Source |
Own work  This diagram was created with Mathematica by n. |
| Author | Tou-x |
Source code
Bx[x_, z_, R_] =
If[Abs[x/R] < 10^-5, 3/4 R^2 z x/(R^2 + z^2)^(5/2),
z/(2 Pi x) (b = (x + R)^2 + z^2; m = 4 x*R/b;
1/Sqrt[b] ((R^2 + x^2 + z^2)/((R - x)^2 + z^2) EllipticE[m] -
EllipticK[m]))];
Bz[x_, z_, R_] = 1/(2 Pi) (b = (x + R)^2 + z^2;
m = 4 x*R/b;
1/Sqrt[b] ((R^2 - x^2 - z^2)/((R - x)^2 + z^2) EllipticE[m] +
EllipticK[m]));
B[x_, z_, R_] = {Bx[x, z, R], Bz[x, z, R]};
R = 3/4; L = 2;
plot = Plot3D[
Norm[Sum[B[x, z - L ((i - 1/2)/10 - 1/2), R], {i, 1, 10}]],
{x, -2, 2}, {z, -2, 2}, PlotRange -> {0, 5},
PlotPoints -> 41, MaxRecursion -> 4, Axes -> False,
Exclusions -> None, ClippingStyle -> None,
PlotTheme -> {"Classic", "ClassicLights"}, ImageSize -> 1000]
Licensing
I, the copyright holder of this work, hereby publish it under the following licenses:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
  
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This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license. | |
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| This licensing tag was added to this file as part of the GFDL licensing update. |
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Copyleft: This work of art is free; you can redistribute it and/or modify it according to terms of the Free Art License. You will find a specimen of this license on the Copyleft Attitude site as well as on other sites. |
You may select the license of your choice.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:10, 24 March 2009 | | 980 × 742 (196 KB) | wikimediacommons>Tou-x | new version |
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