{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Eksamen i Fys1120 H2024\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Magnetisk felt i og rundt en kort solenoide\n",
    "\n",
    "Vi skal i denne oppgaven studere det magnetiske feltet inne i og rundt en solenoide med strøm $I$ og antall vindinger $M = 5$. Vi studerer først en enkelt sirkulær krets. Deretter setter vi sammen $M$ kretser for å lage en modell for en solenoide."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (a)\n",
    "En sirkulær krets med radius $a$ ligger i $xy$-planet med sentrum i origo. Det går en strøm $I$ gjennom kretsen i positiv rotasjonsretning. Vis at det magnetiske feltet i origo blir \n",
    "$$\\vec{B}(0,0,0) = \\frac{\\mu_0 I}{2a}\\hat{z} $$"
   ]
  },
  {
   "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 $d\\vec{B}$ i punktet $\\vec{r}$ fra et strømelement $I\\Delta \\vec{l}_i$ i punktet $\\vec{r}_i$ er gitt av funksjonen ```dBfield(r,ri,Idl)```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "def dBfield(r,ri,Idl):\n",
    "    mu0 = 1.257e-6\n",
    "    R = r - ri\n",
    "    return mu0/(4*np.pi)*np.cross(Idl,R)/np.linalg.norm(R)**3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Det magnetiske feltet fra et strømelement $Idl$ i origo rettet langs $z$-aksen kan visualiseres i $xy$-planet ved"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Text(0.5, 0, '$x$ (m)'), Text(0, 0.5, '$y$ (m)'))"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "Idl = 1.0*np.array([0,0,1])\n",
    "ri = np.array([0,0,0])\n",
    "a = 0.1 # m\n",
    "Lx, Ly, Nx, Ny = a,a,20,20\n",
    "x = np.linspace(-Lx,Lx,Nx)\n",
    "y = np.linspace(-Ly,Ly,Ny)\n",
    "rx,ry = np.meshgrid(x,y,indexing='ij')\n",
    "Bx = np.zeros_like(rx)\n",
    "By = np.zeros_like(ry)\n",
    "for ix in range(Nx):\n",
    "    for iy in range(Ny):\n",
    "        r = np.array([rx[ix,iy],ry[ix,iy],0])\n",
    "        Bx[ix,iy],By[ix,iy],Bz = dBfield(r,ri,Idl)\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.quiver(rx,ry,Bx,By)\n",
    "plt.xlabel(\"$x$ (m)\"), plt.ylabel(\"$y$ (m)\")\n",
    "plt.subplot(1,2,2)\n",
    "plt.streamplot(rx.T,ry.T,Bx.T,By.T)\n",
    "plt.xlabel(\"$x$ (m)\"), plt.ylabel(\"$y$ (m)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## En sirkulær strømkrets\n",
    "Vi ser først på et system som består av en sirkulær krets med strøm $I$ og radius $a$ som ligger i $xy$-planet med sentrum i origo."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (b)\n",
    "Skriv en funksjon ```Bcircle(r,r0,a,I,N)``` som finner det magnetiske feltet $\\vec{B}(\\vec{r})$ i punktet $\\vec{r}$ fra en sirkelformet krets med en strøm $I$ som har en radius $a$ og ligger i et plan parallellt med $xy$-planet med sentrum i punktet $\\vec{r}_0$. Her er $N$ antall diskrete elementer som brukes til å beskrive sirkelen. Det er tilstrekkelig å bruke f.eks. $N=100$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (c)\n",
    "Sjekk funksjonen din ved å sammenlikne resultatet fra funksjonen med det eksakte resultatet fra oppgave (a) ved å bruke $a=0.1$ m, $I = 1$ A."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (d)\n",
    "Visualiser det magnetiske feltet i $xz$-planet. Velg et utsnitt som du anser som passende."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## En kort solenoide\n",
    "Vi skal nå se på en kort solenoide som består av $M$ sirkulære kretser som ligger i plan parallelle med $xy$-planet. De har radius $a$ og sentrum på $z$-aksen. Kretsene er plassert ut slik at de er jevnt fordelt fra $z = a$ til $z=-a$. Den samme strømmen $I$ går i positiv retning i alle de $M$ kretsene."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (e)\n",
    "Skriv en funksjon ```Bsolenoide(r,a,I,N,M)``` som finner det magnetiske feltet $\\vec{B}(\\vec{r})$ fra en solenoide som beskrevet ovenfor og som består av $M$ sirkulære kretser.  Tallet $N$ angir antall elementer som brukes til å beskrive hver enkelt sirkulære krets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (f)\n",
    "Bruk funksjonen ```Bsolenoide``` til å visualisere det magnetiske feltet i $xz$-planet for $M = 5$. Velg et utsnitt som du mener er passende."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Oppgave (g)\n",
    "Plot det magnetiske feltet i $z$-retningen langs tre linjer som er parallelle med $z$-aksen, dvs. $B_z(0,0,z)$, $B_z(a/3,0,z)$ og $B_z(2a/3,0,z)$, i området fra $z=-a$ til $z=a$. Kommenter resultatet. Stemmer dette med hva du forventer for en solenoide?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(Svar her med tekst)*"
   ]
  },
  {
   "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
}
