{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the problem of a long tubular conductor with a 10 cm x 10 cm square cross section containing a charged, non-conducting wire at its center with a vanishing radius and a surface charge density of 2 esu/cm. Find the potential everywhere inside the tube and plot contours of equal potential" ] }, { "cell_type": "code", "execution_count": 257, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "# all quantities are given in esu units\n", "\n", "# Setup the grid and boundary values of the potential\n", "# specify size of region:\n", "Lx=10.0; Ly=10.0\n", "# chose the number of grid points in each dimension (Nx+1) and (Ny+1)\n", "# introduce the charged wire:\n", "Nx=50; Ny=50\n", "Dx=Lx/Nx; Dy=Ly/Ny;\n", "#define the 2-D potential function\n", "phi_start = np.zeros((Ny+1,Nx+1))\n", "# set boundary values of box as negative of those coming from free charges\n", "# which can then be added back into the solution\n", "x=2.0001; y=3.0001; q=2.0 # coordinates and charge of wire (shift a little from \n", " # integers to avoid log(0))\n", "for nx in range(0,Nx+1):\n", " phi_start[0,nx] = -q*np.log((Dx*nx-x)**2+ (0-y)**2)/2\n", " phi_start[Ny,nx] = -q*np.log((Dx*nx-x)**2+(Dy*Ny-y)**2)/2\n", "for ny in range(1,Ny):\n", " phi_start[ny,0] = -q*np.log( (0-x)**2+(Dy*ny-y)**2)/2;\n", " phi_start[ny,Nx]= -q*np.log((Dx*Nx-x)**2+(Dy*ny-y)**2)/2;\n", "#Assign x and y coordinates to each point in our grid\n", "X = np.zeros(Nx+1)\n", "Y = np.zeros(Ny+1)\n", "for nx in range (0,Nx+1):\n", " X[nx]= Dx*nx\n", "for ny in range (0,Ny+1):\n", " Y[ny]= Dy*ny" ] }, { "cell_type": "code", "execution_count": 263, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N= 181 delta = 0.000198501918476\n" ] } ], "source": [ "# Perform the relaxation steps\n", "# set the desired precision:\n", "epsilon = 0.0002\n", "# set a maximum number of iterations to set an upper limit on the run time.\n", "Nmax=1600\n", "# define the intermediate arrays phi_old and phi_new that are used in the iteration\n", "#phi_old = np.zeros((Nx+1,Ny+1))\n", "# start with only the boundary values determined above\n", "phi=np.copy(phi_start) # must be careful that phi does not point to the same array as phi_start\n", "# set initial values for N and delta which are used to control the while loop\n", "N=0\n", "delta = 100\n", "alpha=1.95 # Over relaxation parameter. Set to 1 for normal relaxation\n", " # Set to 1.95 for faster convergence.\n", "phi_new = np.zeros((Ny+1,Nx+1))\n", "prev=0\n", "while (delta > epsilon) and (N < Nmax):\n", " delta=0;\n", " phi_old=np.copy(phi); # must be careful that phi_old does not point to the same array as phi\n", " for nx in range(1,Nx):\n", " for ny in range(1,Ny):\n", " phi_new[ny,nx]=0.25*(phi[ny,nx+1]+phi[ny,nx-1]+phi[ny+1,nx]+phi[ny-1,nx])\n", " phi[ny,nx]=phi[ny,nx]+alpha*(phi_new[ny,nx]-phi[ny,nx]);\n", " delta=delta+(phi[ny,nx]-phi_old[ny,nx])**2\n", " N=N+1\n", " delta\n", "#add back the potential without boundary\n", "phi_total=np.zeros((Ny+1,Nx+1))\n", "for nx in range(0,Nx+1):\n", " for ny in range(0,Ny+1):\n", " phi_total[ny,nx]=phi[ny,nx]+q*np.log((Dx*nx-x)**2+(Dy*ny-y)**2)/2\n", "print ('N=',N,'delta =',delta)" ] }, { "cell_type": "code", "execution_count": 261, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\matplotlib\\contour.py:1180: UserWarning: No contour levels were found within the data range.\n", " warnings.warn(\"No contour levels were found\"\n" ] }, { "data": { "image/png": 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uDgOHWuHRoaEYnP76C1axSZNcOzgpRWQklmivXTOLp9u34ajbpAla06bm/YYN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\ndZGd9MUXao+jZEmQZJVz+xwO+JxUGMg5broJDwiyU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U9h9zaD79Ah74Z2IpjWmzXz/4Hx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tgqVAbpxOTi64b06svI1siYhA6eyPP/wfX79+RLNm6Xst8fEom4wZo+/3ORwOtOlv3IiuEyto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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a contour plot\n", "Nl = 20 # the number of contour levels to be plotted.\n", "clevel = np.zeros(Nl)\n", "for n in range(0,Nl):\n", " clevel[n]=0.05*1.3**n; # select the values of phi for which\n", " # equipotential lines will be plotted\n", "fig = plt.figure(figsize=(10,10))\n", "ax = fig.add_subplot(1,1,1)\n", "ax.contour(X,Y, phi_total,levels=clevel, colors='b', linewidths=1)\n", "ax.contour(X,Y,-phi_total,levels=clevel, colors='r', linewidths=1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }