{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def epotlist(r,Q,R):\n",
    "    # r er vektor posisjon i rommet\n",
    "    # Q er liste med ladninger\n",
    "    # R er liste med posisjoner for ladninger\n",
    "    V = 0.0\n",
    "    for i in range(len(Q)):\n",
    "        Qi = Q[i] # Q_i\n",
    "        Ri = R[i] # r_i\n",
    "        Rnorm = np.linalg.norm(r-Ri)\n",
    "        V = V + Q[i]/Rnorm\n",
    "    return V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ri = (a/2, -d/2 + d/(2N) + i d/N), Qi = Q/N # høyre\n",
    "# ri = (-a/2, -d/2 + d/(2N) + i d/N), Qi = -Q/N # venstre\n",
    "Qlist = []\n",
    "Rlist = []\n",
    "N = 100\n",
    "a = 1.0e-2 # m\n",
    "d = a\n",
    "Q = 1.0\n",
    "for i in range(N):\n",
    "    # Høyre\n",
    "    xi = a/2\n",
    "    yi = -d/2+d/(2*N)+i*d/N\n",
    "    Qi = Q/N\n",
    "    Qlist.append(Qi)\n",
    "    Rlist.append(np.array([xi,yi,0]))\n",
    "for i in range(N):\n",
    "    # Venstre\n",
    "    xi = -a/2\n",
    "    yi = -d/2+d/(2*N)+i*d/N\n",
    "    Qi = -Q/N\n",
    "    Qlist.append(Qi)\n",
    "    Rlist.append(np.array([xi,yi,0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Ide er xi,yi på et gitter finn V(xi,yi)\n",
    "NL = 50\n",
    "L = 3e-2 # m\n",
    "x = np.linspace(-L,L,NL)\n",
    "y = np.linspace(-L,L,NL)\n",
    "z = 0.0\n",
    "rx,ry = np.meshgrid(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f85603fd490>"
      ]
     },
     "execution_count": 6,
     "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.imshow(ry)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "V = np.zeros((NL,NL))\n",
    "for i in range(len(rx.flat)):\n",
    "    r = np.array([rx.flat[i],ry.flat[i],0])\n",
    "    V.flat[i] = epotlist(r,Qlist,Rlist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f85385dad50>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "plt.imshow(V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "Ey,Ex = np.gradient(-V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.03, 0.03, -0.03, 0.03)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,10))\n",
    "plt.contourf(rx,ry,V)\n",
    "plt.quiver(rx,ry,Ex,Ey)\n",
    "plt.axis('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sammenlikning med dipol"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vet at for en dipol er det elektriske potensialet\n",
    "$$V(\\vec{r}) = \\frac{\\vec{p}\\cdot\\vec{r}}{4 \\pi \\epsilon_0 r^3}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I dette tilfellet er $\\vec{p} = Q \\vec{d} = Q (a,0,0)$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Det betyr at langs $x$-aksen er potensialet \n",
    "$$ V(x) = \\frac{a}{4 \\pi \\epsilon_0 r^2}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.linspace(a/2+0.0001,1000,10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "Vs = np.zeros(x.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(len(x)):\n",
    "    r = np.array([x[i],0,0])\n",
    "    Vs[i] = epotlist(r,Qlist,Rlist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8520589dd0>]"
      ]
     },
     "execution_count": 33,
     "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(x,Vs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "xlog = np.log10(x)\n",
    "Vlog = np.log10(Vs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f8520478d10>]"
      ]
     },
     "execution_count": 35,
     "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(xlog,Vlog)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = np.polyfit(xlog,Vlog,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-2.00085001 -1.99778606]\n"
     ]
    }
   ],
   "source": [
    "print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "name": "python3"
  },
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