{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prøve-eksamen i Fys1120 H2022 - eksempeloppgave 2\n",
    "\n",
    "Dette oppgavesettet tilsvarer en av to oppgaver som dere vil få til eksamen. (Denne oppgaven er stor, så den andre oppgaven vil være mindre). Hver oppgave på eksamen vil bestå av en Jupyter-notebook som dette. Dere arbeider med oppgaven i notebook'en og leverer notebook'en som en pdf file ved å lagre notebook'en og så laste den opp i inspera.\n",
    "\n",
    "Dere vil kunne får både teori-oppgaver, programmerings-oppgaver og diskusjons-oppgaver som del av eksamen. Alle svarene skal dere skrive i den samme notebook'en."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Magnetisk felt rundt en magnetisk dipol\n",
    "\n",
    "Vi skal i denne oppgaven studere det magnetiske feltet rundt en magnetisk dipol i form av en sirkulær krets med en strøm $I$ og radius $a$ som ligger i $xy$-planet med sentrum i origo."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (a)\n",
    "Vis at det magnetiske feltet $\\vec{B}(x,0,0)$ rundt en uendelig lang ledning langs $y$-aksen med en strøm $I$ er gitt som\n",
    "$$\\vec{B}(x,0,0) = \\frac{\\mu_0 I}{2 \\pi x}\\left( -\\hat{z}\\right)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Svar her*)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Eksempel\n",
    "Som hjelp til å løse oppgaven nedenfor kan du ta utgangspunkt i dette eksempelet.\n",
    "\n",
    "Bidraget til det magnetiske feltet fra en strøm $I$ gjennom et linjestykke langs $y$-aksen fra $y=-a/2$ til $y = a/2$ kan finnes og visualiseres i $xz$-planet ved hjelp av følgende program."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar her"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning\n",
    "# Vi finner magnetfeltet fra et linjestykke fra l0 til l1\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "def Bline(r,l0,l1,I,Nl):\n",
    "    mu0 = 1.257e-6\n",
    "    K = mu0/(4*np.pi)\n",
    "    B = np.array([0,0,0])\n",
    "    dr = (l1-l0)/Nl\n",
    "    for j in range(Nl):\n",
    "        rj = j*dr\n",
    "        Idl = I*dr\n",
    "        R = r - rj\n",
    "        dB = K*np.cross(Idl,R)/np.linalg.norm(R)**3\n",
    "        B = B + dB\n",
    "    return B\n",
    "def findBfield_line(x0,x1,z0,z1,Nx,Nz,I,l0,l1,Nl): \n",
    "    x = np.linspace(x0,x1,Nx)\n",
    "    z = np.linspace(z0,z1,Nz)\n",
    "    rx,rz = np.meshgrid(x,z)\n",
    "    Bx = np.zeros((Nx,Nz),float)\n",
    "    Bz = np.zeros((Nx,Nz),float)\n",
    "    for i in range(len(rx.flat)):\n",
    "        r = np.array([rx.flat[i],0,rz.flat[i]])\n",
    "        Bx.flat[i],By,Bz.flat[i] = Bline(r,l0,l1,I,Nl) \n",
    "    return x,z,rx,rz,Bx,Bz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "a = 0.1 # Lengde av ledning (m)\n",
    "l0 = np.array([0,-a/2,0])\n",
    "l1 = np.array([0,a/2,0])\n",
    "I = 1.0 # Strøm (A)\n",
    "Nl = 100 # Antall elementer i linjestykke\n",
    "#\n",
    "x,z,rx,rz,Bx,Bz = findBfield_line(-1.0*a,1.0*a,-1.0*a,1.0*a,30,30,I,l0,l1,Nl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.streamplot.StreamplotSet at 0x7fdf70ca1d10>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.subplot(1,2,1)\n",
    "plt.quiver(rx,rz,Bx,Bz)\n",
    "plt.subplot(1,2,2)\n",
    "plt.streamplot(rx,rz,Bx,Bz)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (b)\n",
    "Skriv et program som finner det magnetiske feltet fra en sirkelformet krets med en strøm $I$ som har en radius $a$ og ligger i $xy$-planet med sentrum i origo. Visualiser det magnetiske feltet i $xz$-planet både i et området rundt origo og i et område rundt $(a,0,0)$. Velg et utsnitt som du anser som passende."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (c)\n",
    "Sammenlikn det magnetiske feltet fra den sirkulære kretsen med resultatet for den uendelig lange lederen i oppgave (a) langs $x$-aksen. Velg selv passende områder for sammenlikningen slik at forskjellige elementer i den fysiske oppførselen til systemet kommer fram. Kommenter resultatene."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "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
}
