{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Eksamen Fys1120 H2022 Oppgave 1 - Elektrisk felt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vi skal i denne oppgaven studere det elektriske feltet rundt en endelig linjeladning som ligger langs $z$-aksen. Linjeladningen har en linjeladningsfordeling $\\rho$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (a) \n",
    "Vis at det elektriske feltet fra en uendelig lang linjeladning med uniform linjeladningstetthet $\\rho(z) = \\rho$ er gitt som \n",
    "$$E_r(r) = \\frac{\\rho}{2 \\pi \\epsilon_0 r}\\hat{r}$$\n",
    "hvor $r$ er avstanden inn til $z$-aksen og $\\hat{r}$ er en enhetsvektor i radiell retning i sylinderkoordinater (Du kan ikke levere en figur, så du må forklare hva du gjør med ord. Det er tilstrekkelig med en kort forklaring)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Svar ved å trykke i denne cellen og skriv svaret her*)\n",
    "\n",
    "(__Tips__ Du kan trykke på oppgave-cellene også og kopiere LaTeX koden derfra hvis du trenger den)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Løsning__ Vi bruker Gauss lov. Vi velger sylinderkoordindater fordi systemet har rotasjonssymmetri om $z$-aksen og translasjonssymmetri langs $z$-aksen. Det elektriske feltet vil derfor kun ha en radiell komponent og kun kunne avhenge av $r$. Som Gauss-flate velger vi en sylinder. Det vil ikke gå noe fluks ut gjennom toppen eller bunnen av sylinderen fordi det elektriske feltet ikke har noen komponent i $z$-retningen. Gauss lov gir derfor\n",
    "$$\\int_S \\vec{E} \\cdot d \\vec{S} = 2 \\pi r L E_r = \\rho L / \\epsilon_0$$\n",
    "som gir at\n",
    "$$E_r = \\frac{\\rho}{2 \\pi \\epsilon_0 r}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Eksempel\n",
    "Som en hjelp til å løse oppgaven, kan du ta utgangspunkt i dette eksempelet.\n",
    "\n",
    "Det elektriske feltet fra en dipol langs $x$-aksen kan beregnes og visualiseres ved hjelp av følgende program."
   ]
  },
  {
   "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",
    "    epsilon0 = 8.854e-12\n",
    "    K = 1.0/(4.0*np.pi*epsilon0)\n",
    "    E = np.zeros(np.shape(r))\n",
    "    for i in range(len(R)):\n",
    "        Ri = r - R[i]\n",
    "        qi = Q[i]\n",
    "        Rinorm = np.linalg.norm(Ri)\n",
    "        E = E + qi*Ri/Rinorm**3\n",
    "    E = E*K\n",
    "    return E\n",
    "def findfield(R,Q,x0,x1,y0,y1,Nx,Ny): \n",
    "    x = np.linspace(x0,x1,Nx)\n",
    "    y = np.linspace(y0,y1,Ny)\n",
    "    rx,ry = np.meshgrid(x,y)\n",
    "    # Set up electric field\n",
    "    Ex = np.zeros((Nx,Ny),float)\n",
    "    Ey = np.zeros((Nx,Ny),float)\n",
    "    for i in range(len(rx.flat)):\n",
    "        r = np.array([rx.flat[i],ry.flat[i]])\n",
    "        Ex.flat[i],Ey.flat[i] = efieldlist(r,Q,R) \n",
    "    return x,y,rx,ry,Ex,Ey"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "Q = []\n",
    "R = []\n",
    "a = 1.0\n",
    "q = 1.0\n",
    "R.append(np.array([-a/2,0]))\n",
    "Q.append(-q)\n",
    "R.append(np.array([a/2,0]))\n",
    "Q.append(q)\n",
    "x,y,rx,ry,Ex,Ey = findfield(R,Q,-1*a,1*a,-1*a,1*a,30,30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.0, 1.0975029726516063, -1.0, 1.0975029726516063)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,6))\n",
    "plt.subplot(1,2,1)\n",
    "plt.quiver(rx,ry,Ex,Ey)\n",
    "plt.axis('equal')\n",
    "plt.subplot(1,2,2)\n",
    "plt.streamplot(rx,ry,Ex,Ey)\n",
    "plt.axis('equal')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Endelig linjestykke\n",
    "Vi skal nå se på en linjeladning fra $-a/2$ til $a/2$ hvor $a = 1 \\text{cm}$. Hele linjestykket har ladningen $Q = 1 \\text{mC}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (b)\n",
    "\n",
    "Skriv et program som finner det elektriske feltet og visualiser feltet i et passende område slik at feltets form klart kommer frem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# (Svar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "# (Løsning)\n",
    "Q = []\n",
    "R = []\n",
    "a = 1.0e-2\n",
    "q = 1.0e-3\n",
    "N = 100 # Antall punkter\n",
    "for iz in range(N+1):\n",
    "    z = -a/2 + (iz/N)*a\n",
    "    x = 0.0\n",
    "    R.append(np.array([x,z]))\n",
    "    Q.append(q/(N+1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "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": [
    "# Vi sjekker at vi har fått riktige punkter ved å plotte dem\n",
    "for i in range(len(R)):\n",
    "    ri = R[i]\n",
    "    plt.plot(ri[0],ri[1],'ob')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Vi finner feltet i xz planet\n",
    "x,z,rx,rz,Ex,Ez = findfield(R,Q,-a,a,-a,a,30,30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Vi plotter feltet i xz planet\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.subplot(1,2,1)\n",
    "plt.quiver(rx,rz,Ex,Ez)\n",
    "plt.axis('equal')\n",
    "for i in range(len(R)):\n",
    "    ri = R[i]\n",
    "    plt.plot(ri[0],ri[1],'.r')\n",
    "plt.subplot(1,2,2)\n",
    "plt.streamplot(rx,rz,Ex,Ez)\n",
    "plt.axis('equal')\n",
    "for i in range(len(R)):\n",
    "    ri = R[i]\n",
    "    plt.plot(ri[0],ri[1],'.r')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sammenlikning med teori nær linjestykket"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Oppgave (c)\n",
    "Forklar kort hvorfor du forventer at det elektriske feltet du fant for den uendelig lange linjen er en god modell for det elektriske feltet fra linjestykket når du er nær linjestykket."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Svar*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Løsning__ Når avstanden til linjen er mye mindre enn lengden på linjen, vil kant-effektene bli ubetydelige, og linjen vil fremstå som tilnærmet uendelig lang."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (d)\n",
    "Vi ønsker å sammenlikne resutatet vi fant for den uendelig lange linjen med resultatet for linjestykket som du finner med programmet ditt. Lag et plot av $E_r(r,z)$ for $r = a/10$ og sammenlikn med resultatet for den uendelig lange linjen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# (Svar)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$E$ (V/m)')"
      ]
     },
     "execution_count": 91,
     "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": [
    "# (Løsning)\n",
    "# Først finner vi den numeriske løsningen\n",
    "xi = a/10\n",
    "Nz = 1000\n",
    "z = np.zeros(Nz+1)\n",
    "Er = np.zeros(Nz+1)\n",
    "for iz in range(Nz+1):\n",
    "    zi = -a/2 + (iz/Nz)*a\n",
    "    z[iz] = zi\n",
    "    ri = np.array([xi,zi])\n",
    "    Exi,Ezi = efieldlist(ri,Q,R)\n",
    "    Er[iz] = Exi\n",
    "plt.plot(z,Er)\n",
    "# Så sammenlikner vi med den uendelig lange linjen\n",
    "rho = q/a\n",
    "epsilon0 = 8.854e-12\n",
    "Ez_teori = rho/(2*np.pi*epsilon0*xi)\n",
    "plt.plot([-a/2,a/2],[Ez_teori,Ez_teori])\n",
    "plt.xlabel('$x (m)')\n",
    "plt.ylabel('$E$ (V/m)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sammenlikning med teori langt vekk fra linjestykket"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (e)\n",
    "Hva forventer du at det elektriske feltet $E_r(r,z)$ vil være for $z=0$ når $r\\gg a$? Du skal komme fram til et enkelt uttrykk for $E_r(r,z)$ og gi en kort forklaring for hvorfor dette uttrykket er en god tilnærming i den oppgitte grensen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Svar*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Løsning__ Langt vekk fra linjestykket vil det fremstå som en punktlandning i origo. Derfor vil det elektrsiek feltet ha samme form som feltet som en punktladning:\n",
    "\n",
    "$$E_r = \\frac{Q}{4 \\pi r^2}\\hat{r}$$\n",
    "\n",
    "Langs $x$-aksen vil derfor uttrykket være:\n",
    "\n",
    "$$E_x = \\frac{Q}{4 \\pi x^2}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (f)\n",
    "Sammenlikn resultatet fra programmet ditt med det forenklede uttrykket for $E_r(r,z)$ for $z=0$ ved for eksempel å plotte $E_r(r,z)$ fra $r_0=a/2+0.1$ til $r_1 = r_0 + 10a$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svare"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/malthe/opt/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:22: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n",
      "/Users/malthe/opt/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:24: MatplotlibDeprecationWarning: Adding an axes using the same arguments as a previous axes currently reuses the earlier instance.  In a future version, a new instance will always be created and returned.  Meanwhile, this warning can be suppressed, and the future behavior ensured, by passing a unique label to each axes instance.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fbdb8a97050>]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Løsning\n",
    "plt.figure(figsize=(12,4))\n",
    "Nx = 1000\n",
    "dx = 10*a\n",
    "x = np.zeros(Nx+1)\n",
    "Er = np.zeros(Nx+1)\n",
    "zi = 0\n",
    "for ix in range(Nx+1):\n",
    "    xi = a/2+0.01*a+(ix/Nx)*dx\n",
    "    x[ix] = xi\n",
    "    ri = np.array([xi,zi])\n",
    "    Exi,Ezi = efieldlist(ri,Q,R)\n",
    "    Er[ix] = Exi\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(x,Er)\n",
    "plt.subplot(1,2,2)\n",
    "plt.loglog(x,Er)\n",
    "# Så sammenlikner vi med en punktladning\n",
    "rho = q/a\n",
    "epsilon0 = 8.854e-12\n",
    "Ez_teori = q/(4*np.pi*epsilon0*x**2)\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(x,Ez_teori)\n",
    "plt.subplot(1,2,2)\n",
    "plt.loglog(x,Ez_teori)"
   ]
  }
 ],
 "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
}
