{
 "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": [
    "(*Løsning*)\n",
    "Vi ser at pga symmetri vil det magnetiske feltet ikke ha noen komponent langs $y$-aksen og det vil kun kunne avhenge av avstanden $r$ til $y$-aksen. Det magnetiske feltet vil ikke kunne ha noen radiell komponent fordi netto fluks ut av en lukket sylinderoverflate rundt $y$-aksen må være null.\n",
    "\n",
    "Vi anvender Amperes lov med en Ampere-løkke rundt $y$-aksen med radius $r$. Da er netto strøm gjennom løkken $I$ og Amperes lov gir\n",
    "$$\\oint \\vec{B} \\cdot d \\vec{l} = 2 \\pi r B_\\phi = \\mu_0 I $$\n",
    "slik at\n",
    "$$B_\\phi = \\frac{\\mu_0 I}{2 \\pi r} $$\n",
    "og dermed er\n",
    "$$B_z(x,0,0) = -\\frac{\\mu_0 I}{2 \\pi x}$$\n",
    "hvor også fortegnet blir riktig."
   ]
  },
  {
   "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": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "def Bcircle(r,a,I,N):\n",
    "    mu0 = 1.257e-6\n",
    "    K = mu0/(4*np.pi)\n",
    "    B = np.array([0,0,0])\n",
    "    Idl = I*a*2*np.pi/N\n",
    "    for j in range(N):\n",
    "        theta = (j/N)*2*np.pi\n",
    "        rj = np.array([a*np.cos(theta),a*np.sin(theta),0])\n",
    "        dlvec = np.array([-np.sin(theta),np.cos(theta),0])\n",
    "        R = r-rj\n",
    "        dB = K*Idl*np.cross(dlvec,R)/np.linalg.norm(R)**3\n",
    "        B = B + dB\n",
    "    return B\n",
    "def findBfield_circle(x0,x1,z0,z1,Nx,Nz,I,a,N): \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] = Bcircle(r,a,I,N) \n",
    "    return x,z,rx,rz,Bx,Bz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Utregning og visualisinger av område rundt origo\n",
    "a = 0.1 # Radius til sirkel (m)\n",
    "I = 1.0 # Strøm i sirkel (A)\n",
    "Nl = 100 # Antall elementer i sirkel\n",
    "x,z,rx,rz,Bx,Bz = findBfield_circle(-2*a,2*a,-2*a,2*a,30,30,I,a,Nl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.streamplot.StreamplotSet at 0x7fdf3268ffd0>"
      ]
     },
     "execution_count": 22,
     "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": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Utregning og visualisinger av område rundt (0,a,0)\n",
    "a = 0.1 # Radius til sirkel (m)\n",
    "I = 1.0 # Strøm i sirkel (A)\n",
    "Nl = 100 # Antall elementer i sirkel\n",
    "x,z,rx,rz,Bx,Bz = findBfield_circle(0,2*a,-a,a,30,30,I,a,Nl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.streamplot.StreamplotSet at 0x7fdf70e39990>"
      ]
     },
     "execution_count": 24,
     "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 (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": "markdown",
   "metadata": {},
   "source": [
    "(*Svar her*)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdf712490d0>"
      ]
     },
     "execution_count": 45,
     "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": [
    "# Resultat fra programmet\n",
    "x = np.linspace(0.0*a,3*a,100)\n",
    "zi = 0\n",
    "yi = 0\n",
    "Nl = 100\n",
    "a = 0.1\n",
    "I = 1.0\n",
    "mu0 = 1.257e-6\n",
    "Bi = x.copy()\n",
    "for ix in range(len(x)):\n",
    "    xi = x[ix]\n",
    "    r = np.array([xi,yi,zi])\n",
    "    Bxi,Byi,Bzi = Bcircle(r,a,I,Nl)\n",
    "    Bi[ix] = Bzi\n",
    "plt.plot(x,Bi,label='Numerisk')\n",
    "# Teoretisk resultat\n",
    "B_teori = -I*mu0/(2*np.pi*(x-a))\n",
    "plt.plot(x,B_teori,label='Teori')\n",
    "plt.ylim([-0.000025,0.000025])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(*Løsning kommentar*) Vi ser at forskjellen mellom de to løsningene øker inn mot midten, slik vi forventer fordi det er i midten av ringen effekten av at det er en ring med strøm og ikke en linje med strøm blir størst. På utsiden av ringen forventer vi at det ikke er så stor forskjell nær ringen. \n",
    "\n",
    "Lengre vekk forventer vi at forskjellen mellom de løsningene blir betydelig. Vi sjekker det ved å lage et plot for store $x$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fdf7103ced0>"
      ]
     },
     "execution_count": 49,
     "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": [
    "# Resultat fra programmet\n",
    "x = np.linspace(a*1.1,10*a,100)\n",
    "zi = 0\n",
    "yi = 0\n",
    "Nl = 100\n",
    "a = 0.1\n",
    "I = 1.0\n",
    "Bi = x.copy()\n",
    "for ix in range(len(x)):\n",
    "    xi = x[ix]\n",
    "    r = np.array([xi,yi,zi])\n",
    "    Bxi,Byi,Bzi = Bcircle(r,a,I,Nl)\n",
    "    Bi[ix] = Bzi\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(x,-Bi,label='Numerisk')\n",
    "# Teoretisk resultat\n",
    "B_teori = -I*mu0/(2*np.pi*(x-a))\n",
    "plt.plot(x,-B_teori,label='Teori')\n",
    "#plt.ylim([-0.000025,0.000025])\n",
    "plt.legend()\n",
    "plt.subplot(1,2,2)\n",
    "plt.loglog(x,-Bi,label='Numerisk')\n",
    "# Teoretisk resultat\n",
    "B_teori = -I*mu0/(2*np.pi*(x-a))\n",
    "plt.loglog(x,-B_teori,label='Teori')\n",
    "#plt.ylim([-0.000025,0.000025])\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vi ser at det er vanskelig å se denne forskjellen fra et plot med lineære akser, mens forskjellen er veldig tydelig når vi plotter med logaritmiske akser.\n",
    "\n",
    "Vi forventer denne forskjellen i oppførsel fordi ringen oppfører seg som en dipol, og derfor vil feltet avta som $1/x^3$, mens feltet i den teoretiske modellen avtar som $1/x$. Det er denne forskjellen vi ser i log-log plottet."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Kommentar som går ut over det vi forventer av svar på oppgaven* \n",
    "Vi ville fått et bedre plot om vi i stedet hadde plottet $x-a$ langs $x$-aksen, slik vi gjør i følgende plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f82c2117310>]"
      ]
     },
     "execution_count": 15,
     "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": [
    "# Resultat fra programmet\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "zi = 0\n",
    "yi = 0\n",
    "Nl = 100\n",
    "a = 0.1\n",
    "I = 1.0\n",
    "mu0 = 1.257e-6\n",
    "x = np.linspace(a*1.1,100*a,100)\n",
    "Bi = x.copy()\n",
    "for ix in range(len(x)):\n",
    "    xi = x[ix]\n",
    "    r = np.array([xi,yi,zi])\n",
    "    Bxi,Byi,Bzi = Bcircle(r,a,I,Nl)\n",
    "    Bi[ix] = Bzi\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.subplot(1,2,1)\n",
    "plt.plot(x-a,-Bi,label='Numerisk')\n",
    "# Teoretisk resultat\n",
    "B_teori = -I*mu0/(2*np.pi*(x-a))\n",
    "plt.plot(x-a,-B_teori,label='Teori')\n",
    "#plt.ylim([-0.000025,0.000025])\n",
    "plt.legend()\n",
    "plt.subplot(1,2,2)\n",
    "plt.loglog(x-a,-Bi,label='Numerisk')\n",
    "# Teoretisk resultat\n",
    "B_teori = -I*mu0/(2*np.pi*(x-a))\n",
    "plt.loglog(x-a,-B_teori,label='Teori')\n",
    "#plt.ylim([-0.000025,0.000025])\n",
    "plt.legend()\n",
    "# Vi sammenlikner med 1/x^3\n",
    "plt.loglog(x-a,2.2e-9/(x-a)**3,':')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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