mirror of
https://github.com/atomic14/kicad-coil-plugins.git
synced 2024-10-18 09:06:57 +00:00
608 lines
19 KiB
Text
608 lines
19 KiB
Text
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{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from mpl_toolkits.mplot3d import Axes3D\n",
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"from biot_savart_v4_3 import parse_coil, plot_coil, slice_coil\n",
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"from tqdm.notebook import trange, tqdm"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# load up the simple spiral coil\n",
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"coil1 = parse_coil(\"coils/coil_12_spiral.csv\")\n",
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"plot_coil(\"coils/coil_12_spiral.csv\")\n",
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"coil1 = slice_coil(coil1, 1)\n",
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"coil1 = coil1.T\n",
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"print(coil1.shape)\n",
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"\n",
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"coil2 = parse_coil(\"coils/coil_12_custom.csv\")\n",
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"plot_coil(\"coils/coil_12_custom.csv\")\n",
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"coil2 = slice_coil(coil2, 1)\n",
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"coil2 = coil2.T\n",
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"print(coil2.shape)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Simple Simulation of a dipole magnet"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# magnetic field at a point x,y,z of a dipole magnet with moment m in the z direction\n",
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"def B_(x, y, z, m=0.185):\n",
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" mu0 = 4 * np.pi * 1e-7\n",
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" r = np.sqrt(x**2 + y**2 + z**2)\n",
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" return (\n",
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" np.array(\n",
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" [3 * x * z / r**5, 3 * y * z / r**5, (3 * z**2 / r**5 - 1 / r**3)]\n",
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" )\n",
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" * m\n",
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" * mu0\n",
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" )\n",
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"\n",
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"\n",
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"def B(x, y, z, m=0.185, l=0.003, d=0.01):\n",
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" d = d * 0.75\n",
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" # simulate multiple points in the cylinder and add them together to create a disk of field\n",
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" bx = 0\n",
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" by = 0\n",
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" bz = 0\n",
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" for degrees in range(0, 360, 30):\n",
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" angle = np.deg2rad(degrees)\n",
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" x_, y_, z_ = B_(\n",
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" x + d / 2 * np.cos(angle),\n",
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" y + d / 2 * np.sin(angle),\n",
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" z - l / 2,\n",
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" m / (360 / 60),\n",
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" )\n",
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" bx += x_\n",
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" by += y_\n",
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" bz += z_\n",
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" x_, y_, z_ = B_(\n",
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" x + d / 2 * np.cos(angle),\n",
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" y + d / 2 * np.sin(angle),\n",
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" z + l / 2,\n",
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" m / (360 / 60),\n",
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" )\n",
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" bx += x_\n",
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" by += y_\n",
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" bz += z_\n",
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" return np.array([bx, by, bz])\n",
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"\n",
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"\n",
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"def plot_field_slice(x, y, bx, by, mag, name=\"magnetic_field.png\"):\n",
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" # plot the magnetic field\n",
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" fig = plt.figure()\n",
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" ax = fig.add_subplot(111)\n",
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" ax.streamplot(\n",
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" x,\n",
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" y,\n",
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" bx,\n",
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" by,\n",
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" linewidth=1,\n",
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" cmap=plt.cm.inferno,\n",
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" density=2,\n",
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" arrowstyle=\"->\",\n",
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" arrowsize=1.5,\n",
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" )\n",
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"\n",
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" ax.set_xlabel(\"$x$\")\n",
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" ax.set_ylabel(\"$y$\")\n",
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" ax.set_xlim(-0.1, 0.1)\n",
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" ax.set_ylim(-0.1, 0.1)\n",
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" ax.set_aspect(\"equal\")\n",
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"\n",
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" # plot the magniture of the field as an image\n",
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" im = ax.imshow(\n",
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" mag, extent=[-0.1, 0.1, -0.1, 0.1], origin=\"lower\", cmap=plt.cm.inferno\n",
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" )\n",
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"\n",
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" # draw the magnet\n",
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" ax.add_patch(plt.Rectangle((-0.005, -0.0015), 0.01, 0.003, fc=\"w\", ec=\"k\", lw=1))\n",
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"\n",
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" fig.show()\n",
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" # save the figure\n",
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" fig.savefig(name)\n",
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"\n",
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"\n",
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"# # calculate the magnetic field at y = 0, over z = -1, 1 and x = -1, 1\n",
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"x = np.linspace(-0.1, 0.1, 100)\n",
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"z = np.linspace(-0.1, 0.1, 100)\n",
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"X, Z = np.meshgrid(x, z)\n",
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"Bx, By, Bz = B(X, 0, Z)\n",
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"\n",
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"print(Bx.shape, By.shape, Bz.shape)\n",
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"\n",
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"plot_field_slice(\n",
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" X,\n",
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" Z,\n",
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" Bx,\n",
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" Bz,\n",
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" np.log(np.sqrt(Bx**2 + By**2 + Bz**2)),\n",
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" \"magnetic_field_side.png\",\n",
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")\n",
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"\n",
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"# # calculate the magnetic field at z = 1, over y = -1, 1 and x = -1, 1\n",
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"x = np.linspace(-0.1, 0.1, 100)\n",
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"y = np.linspace(-0.1, 0.1, 100)\n",
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"X, Y = np.meshgrid(x, y)\n",
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"Bx, By, Bz = B(X, Y, 0.01)\n",
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"\n",
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"plot_field_slice(\n",
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" X,\n",
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" Y,\n",
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" Bx,\n",
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" By,\n",
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" np.log(np.sqrt(Bx**2 + By**2 + Bz**2)),\n",
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" \"magnetic_field_bottom.png\",\n",
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")\n",
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"\n",
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"# calculate the magnetic field in a 3d volume\n",
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"x = np.linspace(-0.1, 0.1, 100)\n",
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"y = np.linspace(-0.1, 0.1, 100)\n",
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"z = np.linspace(-0.1, 0.1, 100)\n",
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"X, Y, Z = np.meshgrid(x, y, z)\n",
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"Bx, By, Bz = B(X, Y, Z)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# do a 3d quivwer plot of the magnetic field\n",
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"fig = plt.figure()\n",
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"ax = fig.add_subplot(111, projection=\"3d\")\n",
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"# down sample the results\n",
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"ax.quiver(\n",
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" X[::10, ::10, ::10],\n",
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" Y[::10, ::10, ::10],\n",
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" Z[::10, ::10, ::10],\n",
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" Bx[::10, ::10, ::10],\n",
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" By[::10, ::10, ::10],\n",
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" Bz[::10, ::10, ::10],\n",
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" length=0.01,\n",
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" normalize=True,\n",
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")\n",
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"ax.set_xlabel(\"$x$\")\n",
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"ax.set_ylabel(\"$y$\")\n",
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"ax.set_zlabel(\"$z$\")\n",
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"ax.set_xlim(-0.1, 0.1)\n",
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"ax.set_ylim(-0.1, 0.1)\n",
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"ax.set_zlim(-0.1, 0.1)\n",
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"ax.set_aspect(\"equal\")\n",
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"# make the plot larger\n",
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"fig.set_size_inches(10, 10)\n",
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"fig.show()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# use mayavi to plot the magnetic field\n",
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"from mayavi import mlab\n",
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"\n",
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"mlab.figure(bgcolor=(1, 1, 1), size=(800, 800))\n",
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"mlab.quiver3d(\n",
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" X,\n",
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" Y,\n",
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" Z,\n",
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" Bx,\n",
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" By,\n",
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" Bz,\n",
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" mode=\"2ddash\",\n",
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" scale_factor=1,\n",
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" scale_mode=\"none\",\n",
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" color=(0, 0, 0),\n",
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")\n",
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"mlab.axes(\n",
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" xlabel=\"$x$\", ylabel=\"$y$\", zlabel=\"$z$\", ranges=[-0.1, 0.1, -0.1, 0.1, -0.1, 0.1]\n",
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")\n",
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"mlab.show()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# use myavi to plot a contour plot of the magnetic field\n",
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"from mayavi import mlab\n",
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"\n",
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"mlab.figure(bgcolor=(1, 1, 1), size=(800, 800))\n",
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"mlab.contour3d(\n",
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" X, Y, Z, np.sqrt(Bx**2 + By**2 + Bz**2), contours=20, transparent=True\n",
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")\n",
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"mlab.axes(\n",
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" xlabel=\"$x$\", ylabel=\"$y$\", zlabel=\"$z$\", ranges=[-0.1, 0.1, -0.1, 0.1, -0.1, 0.1]\n",
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")\n",
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"mlab.show()"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"# calculate the force on a wire of length l carrying current I at a point x,y,z with a direction vector d\n",
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"def F(p, d, I, l):\n",
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" return I * l * np.cross(d, B(p[0], p[1], p[2]))\n",
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"\n",
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"\n",
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"def calculate_forces_on_wire_points(points):\n",
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" Fx = []\n",
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" Fy = []\n",
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" Fz = []\n",
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" # calculate the force on each point\n",
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" for i in range(len(points)):\n",
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" # calculate the direction vector\n",
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" dx = points[i][0] - points[(i + 1) % len(points)][0]\n",
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" dy = points[i][1] - points[(i + 1) % len(points)][1]\n",
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" dz = points[i][2] - points[(i + 1) % len(points)][2]\n",
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" d = np.array([dx, dy, dz])\n",
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" # get the length of d\n",
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" l = np.sqrt(dx**2 + dy**2 + dz**2)\n",
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" if l > 0:\n",
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" # normalise d\n",
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" d = d / l\n",
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" # calculate the force\n",
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" fx, fy, fz = F(points[i], d, points[i][3], l)\n",
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" Fx.append(fx)\n",
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" Fy.append(fy)\n",
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" Fz.append(fz)\n",
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" else:\n",
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" Fx.append(0)\n",
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" Fy.append(0)\n",
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" Fz.append(0)\n",
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" return Fx, Fy, Fz\n",
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"\n",
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"\n",
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"# locate the loop of wire directly below the magnet\n",
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"x = 0.01\n",
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"y = 0\n",
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"z = -0.002\n",
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"r1 = 0.001\n",
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"r2 = 0.01\n",
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"\n",
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"\n",
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"points = coil2.copy()\n",
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"# scale the points from mm to m\n",
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"# shift the coil to the correct position\n",
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"for i in range(len(points)):\n",
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" points[i][0] = points[i][0] / 1000 + x\n",
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" points[i][1] = points[i][1] / 1000 + y\n",
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" points[i][2] = points[i][2] / 1000 + z\n",
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"\n",
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"\n",
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"# plot the points in 2D x,y\n",
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"fig = plt.figure()\n",
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"ax = fig.add_subplot(111)\n",
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"ax.plot([p[0] for p in points], [p[1] for p in points])\n",
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"ax.set_xlabel(\"$x$\")\n",
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"ax.set_ylabel(\"$y$\")\n",
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"ax.set_xlim(-0.01 + x, 0.01 + x)\n",
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"ax.set_ylim(-0.01 + y, 0.01 + y)\n",
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"ax.set_aspect(\"equal\")\n",
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"fig.show()\n",
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"\n",
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"Fx, Fy, Fz = calculate_forces_on_wire_points(points)\n",
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"\n",
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"\n",
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"# plot the wire along with arrows showing the force\n",
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"fig = plt.figure()\n",
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"ax = fig.add_subplot(111, projection=\"3d\")\n",
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"ax.plot([p[0] for p in points], [p[1] for p in points], [p[2] for p in points])\n",
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"\n",
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"print(sum(Fx) / 9.8)\n",
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"\n",
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"# subsample the points and force vectors to make the plot clearer\n",
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"points = points[::500]\n",
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"Fx = Fx[::500]\n",
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"Fy = Fy[::500]\n",
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"Fz = Fz[::500]\n",
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"\n",
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"ax.quiver(\n",
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" [p[0] for p in points],\n",
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" [p[1] for p in points],\n",
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" [p[2] for p in points],\n",
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" np.sqrt(Fx),\n",
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" 0,\n",
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" 0,\n",
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" length=0.01,\n",
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" normalize=True,\n",
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")\n",
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"ax.set_xlabel(\"$x$\")\n",
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"ax.set_ylabel(\"$y$\")\n",
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"ax.set_zlabel(\"$z$\")\n",
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"ax.set_xlim(x - 0.02, x + 0.02)\n",
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"ax.set_ylim(y - 0.02, y + 0.02)\n",
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"ax.set_zlim(z - 0.02, z + 0.02)\n",
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"ax.set_aspect(\"equal\")\n",
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"\n",
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"# change the figure size\n",
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"fig.set_size_inches(10, 10)\n",
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"\n",
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"fig.show()\n",
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"# coil2 = 0.0375037573536258\n",
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"# coil1 = 0.010254238165764389"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [],
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"source": [
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"def sweep_coil(coil, X):\n",
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" Y = np.zeros(len(X))\n",
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" Z = -0.01 * np.ones(len(X))\n",
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"\n",
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" # loop through the locations and calculate the forces, sum up the force in the X direction for each location\n",
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" Fx = []\n",
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" Fy = []\n",
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" Fz = []\n",
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" for p in trange(len(X)):\n",
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" points = coil.copy()\n",
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" # scale the points from mm to m\n",
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" # shift the coil to the correct position\n",
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|
" for i in range(len(points)):\n",
|
||
|
" points[i][0] = points[i][0] / 1000 + X[p]\n",
|
||
|
" points[i][1] = points[i][1] / 1000 + Y[p]\n",
|
||
|
" points[i][2] = points[i][2] / 1000 + Z[p]\n",
|
||
|
" Fx_, Fy_, Fz_ = calculate_forces_on_wire_points(points)\n",
|
||
|
" Fx.append(sum(Fx_))\n",
|
||
|
" Fy.append(sum(Fy_))\n",
|
||
|
" Fz.append(sum(Fz_))\n",
|
||
|
" return Fx, Fy, Fz\n",
|
||
|
"\n",
|
||
|
"\n",
|
||
|
"# sweep the coild from -3cm to 3cm in 0.01m steps\n",
|
||
|
"X = np.linspace(-0.03, 0.03, 100)\n",
|
||
|
"Fx_1_straight, Fy_1_straight, Fz_1_straight = sweep_coil(coil1, X)\n",
|
||
|
"Fx_2_straight, Fy_2_straight, Fz_2_straight = sweep_coil(coil2, X)"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"# plot the force as a function of x\n",
|
||
|
"plt.plot(X, -np.array(Fx_1_straight) / 9.8, label=\"coil1\", color=\"red\")\n",
|
||
|
"plt.plot(X, np.array(Fx_2_straight) / 9.8, label=\"coil2\", color=\"blue\")\n",
|
||
|
"# plot a dotted line along y = 0\n",
|
||
|
"plt.plot([X[0], X[-1]], [0, 0], \"--\")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"# plot the force as a function of x\n",
|
||
|
"plt.plot(X, -np.array(Fz_1_straight) / 9.8, label=\"coil1\", color=\"red\")\n",
|
||
|
"plt.plot(X, np.array(Fz_2_straight) / 9.8, label=\"coil2\", color=\"blue\")\n",
|
||
|
"# plot a dotted line along y = 0\n",
|
||
|
"plt.plot([X[0], X[-1]], [0, 0], \"--\")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"# instead of sweeping horizontally, we'll sweep the coils around a circle\n",
|
||
|
"def sweep_coil_cirlc(coil, coil_center_radius, theta):\n",
|
||
|
" X = coil_center_radius * np.cos(np.deg2rad(theta))\n",
|
||
|
" Y = coil_center_radius * np.sin(np.deg2rad(theta))\n",
|
||
|
" Z = -0.01 * np.ones(100)\n",
|
||
|
"\n",
|
||
|
" # loop through the locations and calculate the forces, sum up the force in the X direction for each location\n",
|
||
|
" Torque = []\n",
|
||
|
" Fx = []\n",
|
||
|
" Fy = []\n",
|
||
|
" Fz = []\n",
|
||
|
" for p in trange(len(theta)):\n",
|
||
|
" angle = np.deg2rad(theta[p]) - np.pi / 2\n",
|
||
|
" x = X[p]\n",
|
||
|
" y = Y[p]\n",
|
||
|
" z = Z[p]\n",
|
||
|
"\n",
|
||
|
" points = coil.copy()\n",
|
||
|
" for i in range(len(points)):\n",
|
||
|
" px = points[i][0] / 1000\n",
|
||
|
" py = points[i][1] / 1000\n",
|
||
|
" pz = points[i][2] / 1000\n",
|
||
|
" # rotate the points so the coil is correctly oriented\n",
|
||
|
" points[i][0] = px * np.cos(angle) - py * np.sin(angle) + x\n",
|
||
|
" points[i][1] = (\n",
|
||
|
" px * np.sin(angle) + py * np.cos(angle) + y - coil_center_radius\n",
|
||
|
" )\n",
|
||
|
" points[i][2] = pz + z\n",
|
||
|
" # feel the force\n",
|
||
|
" Fx_, Fy_, Fz_ = calculate_forces_on_wire_points(points)\n",
|
||
|
" Fx.append(sum(Fx_))\n",
|
||
|
" Fy.append(sum(Fy_))\n",
|
||
|
" Fz.append(sum(Fz_))\n",
|
||
|
" # calculate the torque - which should be 90 degress to the angle\n",
|
||
|
" torque_angle = np.deg2rad(theta[p] - 90)\n",
|
||
|
" Torque.append(sum(Fx_) * np.cos(torque_angle) + sum(Fy_) * np.sin(torque_angle))\n",
|
||
|
"\n",
|
||
|
" return Fx, Fy, Fz, Torque\n",
|
||
|
"\n",
|
||
|
"\n",
|
||
|
"# sweep the coils from -45 to 45 degrees in 1 degree steps\n",
|
||
|
"theta = np.linspace(0, 180, 100)\n",
|
||
|
"Fx_1_curve, Fy_1_curve, Fz_1_curve, Torque_1 = sweep_coil_cirlc(\n",
|
||
|
" coil1, 20.5 / 1000, theta\n",
|
||
|
")\n",
|
||
|
"Fx_2_curve, Fy_2_curve, Fz_2_curve, Torque_2 = sweep_coil_cirlc(\n",
|
||
|
" coil2, 19.5 / 1000, theta\n",
|
||
|
")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"plt.plot(\n",
|
||
|
" theta, -np.array(Fx_1_curve) + np.array(Fx_1_curve), label=\"coil1\", color=\"red\"\n",
|
||
|
")\n",
|
||
|
"plt.plot(theta, np.array(Torque_2) - np.array(Fx_2_curve), label=\"coil2\", color=\"blue\")\n",
|
||
|
"# plot a dotted line along y = 0\n",
|
||
|
"plt.plot([theta[0], theta[-1]], [0, 0], \"--\")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"plt.plot(theta, -np.array(Torque_1) / 9.8, label=\"coil1\", color=\"red\")\n",
|
||
|
"plt.plot(theta, np.array(Torque_2) / 9.8, label=\"coil2\", color=\"blue\")\n",
|
||
|
"# plot a dotted line along y = 0\n",
|
||
|
"plt.plot([theta[0], theta[-1]], [0, 0], \"--\")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"# plot arrows for the Fx and Fy components\n",
|
||
|
"X = 19.5 * np.cos(np.deg2rad(theta)) / 1000\n",
|
||
|
"Y = 19.5 * np.sin(np.deg2rad(theta)) / 1000\n",
|
||
|
"plt.quiver(X[::5], Y[::5], Fx_1_curve[::5], Fy_1_curve[::5], color=\"red\")\n",
|
||
|
"# make the axis equal so the arrows are not stretched\n",
|
||
|
"plt.axis(\"equal\")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"plt.plot(theta, -np.array(Fz_1_curve) / 9.8, label=\"coil1\", color=\"red\")\n",
|
||
|
"plt.plot(theta, np.array(Fz_2_curve) / 9.8, label=\"coil2\", color=\"blue\")\n",
|
||
|
"# plot a dotted line along y = 0\n",
|
||
|
"plt.plot([theta[0], theta[-1]], [0, 0], \"--\")"
|
||
|
]
|
||
|
},
|
||
|
{
|
||
|
"cell_type": "code",
|
||
|
"execution_count": null,
|
||
|
"metadata": {},
|
||
|
"outputs": [],
|
||
|
"source": [
|
||
|
"# instead of sweeping horizontally, we'll sweep the coils around a circle\n",
|
||
|
"def sweep_coil_cirlc(coil, coil_center_radius):\n",
|
||
|
" # sweep the coils from -45 to 45 degrees in 1 degree steps\n",
|
||
|
" theta = np.linspace(0, 180, 20)\n",
|
||
|
" X = coil_center_radius * np.cos(np.deg2rad(theta))\n",
|
||
|
" Y = coil_center_radius * np.sin(np.deg2rad(theta))\n",
|
||
|
" Z = 1 * np.ones(100)\n",
|
||
|
"\n",
|
||
|
" # loop through the locations and calculate the forces, sum up the force in the X direction for each location\n",
|
||
|
" Fx = []\n",
|
||
|
" Fy = []\n",
|
||
|
" Fz = []\n",
|
||
|
" for p in trange(len(theta)):\n",
|
||
|
" angle = np.deg2rad(theta[p]) - np.pi / 2\n",
|
||
|
" x = X[p]\n",
|
||
|
" y = Y[p]\n",
|
||
|
" z = Z[p]\n",
|
||
|
"\n",
|
||
|
" points = coil.copy()\n",
|
||
|
" for i in range(len(points)):\n",
|
||
|
" px = points[i][0] / 1000\n",
|
||
|
" py = points[i][1] / 1000\n",
|
||
|
" pz = points[i][2] / 1000\n",
|
||
|
" # rotate the points so the coil is correctly oriented\n",
|
||
|
" points[i][0] = px * np.cos(angle) - py * np.sin(angle) + x\n",
|
||
|
" points[i][1] = (\n",
|
||
|
" px * np.sin(angle) + py * np.cos(angle) + y - coil_center_radius\n",
|
||
|
" )\n",
|
||
|
" points[i][2] = pz + z\n",
|
||
|
" plt.plot([p[0] for p in points], [p[1] for p in points], linewidth=0.5)\n",
|
||
|
" # add the torque arrow to the plot\n",
|
||
|
" torque_angle = np.deg2rad(theta[p] - 90)\n",
|
||
|
" torque_x1 = x\n",
|
||
|
" torque_y1 = y\n",
|
||
|
" torque_x2 = x + 0.01 * np.cos(torque_angle)\n",
|
||
|
" torque_y2 = y + 0.01 * np.sin(torque_angle)\n",
|
||
|
" plt.arrow(\n",
|
||
|
" torque_x1,\n",
|
||
|
" torque_y1,\n",
|
||
|
" torque_x2 - torque_x1,\n",
|
||
|
" torque_y2 - torque_y1,\n",
|
||
|
" head_width=0.001,\n",
|
||
|
" head_length=0.002,\n",
|
||
|
" fc=\"k\",\n",
|
||
|
" ec=\"k\",\n",
|
||
|
" )\n",
|
||
|
"\n",
|
||
|
"\n",
|
||
|
"sweep_coil_cirlc(coil2, 19.5 / 1000)"
|
||
|
]
|
||
|
}
|
||
|
],
|
||
|
"metadata": {
|
||
|
"kernelspec": {
|
||
|
"display_name": "Python 3.10.7 ('venv': venv)",
|
||
|
"language": "python",
|
||
|
"name": "python3"
|
||
|
},
|
||
|
"language_info": {
|
||
|
"codemirror_mode": {
|
||
|
"name": "ipython",
|
||
|
"version": 3
|
||
|
},
|
||
|
"file_extension": ".py",
|
||
|
"mimetype": "text/x-python",
|
||
|
"name": "python",
|
||
|
"nbconvert_exporter": "python",
|
||
|
"pygments_lexer": "ipython3",
|
||
|
"version": "3.10.7"
|
||
|
},
|
||
|
"vscode": {
|
||
|
"interpreter": {
|
||
|
"hash": "1ce20143987840b9786ebb5907032c9c3a8efacbb887dbb0ebc4934f2ad26cb3"
|
||
|
}
|
||
|
}
|
||
|
},
|
||
|
"nbformat": 4,
|
||
|
"nbformat_minor": 2
|
||
|
}
|