File:Wire Array B-field Strength.png
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![File:Wire Array B-field Strength.png](https://upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Wire_Array_B-field_Strength.png/800px-Wire_Array_B-field_Strength.png?20071110012003)
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DescriptionWire Array B-field Strength.png | A diagram of 12 staggered, parallel wires that carry current through a plane, in the direction indicated. Plotted is the magnetic field strength resulting from this arrangement. | |||
Date | 09/11/2007 | |||
Source |
self-made, ![]() This diagram was created with Mathematica. |
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Author | Inductiveload | |||
Permission (Reusing this file) |
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Mathematica Code
[edit]wireno = 12; (*The number of wires*) wires = Table[ {(i + 0.5)/1.5, (-1)^i}, {i, -wireno/2, wireno/2 - 1}]; (*This table contains the locations of the wires*) symbcircle[{xi_, yi_}, rad_] = Graphics[{ White, EdgeForm[Thick], Disk[{xi, yi}, rad]}]; cdot[{xi_, yi_}, rad_] = Graphics[Disk[{xi, yi}, rad/3]]; ccross[{xi_, yi_}, rad_] = Graphics[{ Thick, {Line[{{xi - rad, yi}, {xi + rad, yi}}], Line[{{xi, yi - rad}, {xi, yi + rad}}]}}]; iinsymbol[{xi_, yi_}, rad_] = Show[symbcircle[{xi, yi}, rad], ccross[{xi, yi}, rad]]; (*Symbol for current going into the page*) ioutsymbol[{xi_, yi_}, rad_] = Show[symbcircle[{xi, yi}, rad], cdot[{xi, yi}, rad]]; (*Symbol for current comng out of the page*) wiresin[rad_] = Graphics[Show[ Table[ iinsymbol[{wires[[n, 1]], wires[[n, 2]]}, rad], {n, 1, wireno, 2}]]];(*Table containing positions of all "in" current symbols*) \ wiresout[rad_] = Graphics[Show[ Table[ ioutsymbol[{wires[[n, 1]], wires[[n, 2]]}, rad], {n, 2, wireno, 2}]]];(*Table containing positions of all "out" current symbols*) \ wiresymbols[rad_] = Show[wiresout[rad], wiresin[rad]]; (*All current symbols*) r[{xi_, yi_}] = Sqrt[(x - xi)^2 + (y - yi)^2]; (*Distance from {x,y} to {xi, yi}*) f[{xi_, yi_}] = {(y - yi)/r[{xi, yi}]^2, -(x - xi)/r[{xi, yi}]^2}; (*Circular vector field*) ftot = Sum[ wires[[k, 2]]*f[wires[[k]]], {k, 1, wireno}]; (*Sum of effects of all wores (including direction \ governed by y-positon*) cplot = ContourPlot[ Sqrt[ftot[[1]]^2 + ftot[[2]]^2], (*Magnitude of resultant vecotr*) {x, -6, 6}, {y, -4, 4}, PlotPoints -> 50, PlotRange -> {0, 6.01},(*We want a line at the top edge, and this ensures it*) Contours -> Table[i/3, {i, 0, 18}], Frame -> False, AspectRatio -> 4/6, ImageSize -> 1200, ColorFunction -> "Rainbow"]; Show[cplot, wiresymbols[0.07]]
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 01:20, 10 November 2007 | ![]() | 1,150 × 766 (176 KB) | Inductiveload (talk | contribs) | {{Information |Description=A diagram of 12 staggered, parallel wires that carry current through a plane, in the direction indicated. Plotted is the magnetic field strength resulting from this arrangement. |Source=self-made, {{Mathematica}} |Date=09/11/200 |
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