{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "def efieldlist(r,Q,R):\n",
    "    E = np.zeros(np.shape(r))\n",
    "    for i in range(len(R)):\n",
    "        Ri = r - R[i]\n",
    "        Rinorm = np.linalg.norm(Ri)\n",
    "        E = E + Q[i]*Ri/Rinorm**3\n",
    "    return E"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "R = []\n",
    "Q = []\n",
    "a  = 1.0\n",
    "r1 = np.array([a,a])\n",
    "Q1 = 1.0\n",
    "R.append(r1)\n",
    "Q.append(Q1)\n",
    "r1 = np.array([-a,a])\n",
    "Q1 = -1.0\n",
    "R.append(r1)\n",
    "Q.append(Q1)\n",
    "r1 = np.array([a,-a])\n",
    "Q1 = -1.0\n",
    "R.append(r1)\n",
    "Q.append(Q1)\n",
    "r1 = np.array([-a,-a])\n",
    "Q1 = 1.0\n",
    "R.append(r1)\n",
    "Q.append(Q1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 5\n",
    "NL = 20\n",
    "x = np.linspace(-L,L,NL)\n",
    "y = np.linspace(-L,L,NL)\n",
    "Ex = np.zeros((NL,NL),float)\n",
    "Ey = np.zeros((NL,NL),float)\n",
    "rx,ry = np.meshgrid(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(ry.flat)):\n",
    "    r = np.array([rx.flat[i],ry.flat[i]])\n",
    "    Ex.flat[i],Ey.flat[i] = efieldlist(r,Q,R)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.quiver.Quiver at 0x7f87f1a1bc50>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "plt.quiver(rx,ry,Ex,Ey)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "xi = np.linspace(0,1000,10000)\n",
    "Exi = np.zeros(len(xi))\n",
    "Eyi = np.zeros(len(xi))\n",
    "for i in range(len(xi)):\n",
    "    r = np.array([xi[i],0])\n",
    "    Exi[i],Eyi[i] = efieldlist(r,Q,R)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f879042e810>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xi,np.abs(Eyi))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f87f195cd90>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.loglog(xi,np.abs(Eyi))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
