{
 "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": [
    "(*Løsning*)\n",
    "Vi ser på et bidrag fra et strøm element $I d \\vec{l}$ i posisjonen $\\vec{r}'$. For dette elementet blir $\\vec{R} = \\vec{0} - \\vec{r}' = - \\vec{r}'$. Bidraget til det magnetiske feltet i origo blir da\n",
    "\n",
    "$$d \\vec{B} = \\frac{\\mu_0}{4 \\pi} \\frac{I d \\vec{l}\\times \\vec{R}}{R^3}$$\n",
    "\n",
    "Her ser vi at $d\\vec{l}$ og $\\vec{R}$ står normalt på hverandre og kryssproduktet vil peke i $z$-retningen. Det gir \n",
    "\n",
    "$$d \\vec{B} = \\frac{\\mu_0}{4 \\pi} \\frac{I d l R}{R^3} \\hat{z}$$\n",
    "\n",
    "Vi ser at $R = a$ ikke endrer seg langs sirkelen. Vi summerer (integrerer) opp alle bidragene fra hele sirkelene som har en lengde $2 \\pi a$ og får\n",
    "\n",
    "$$\\vec{B} = \\frac{\\mu_0}{4 \\pi} \\frac{I 2 \\pi a^2}{a^3} \\hat{z} = \\frac{\\mu_0 I}{2a}\\hat{z} $$"
   ]
  },
  {
   "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": 1,
   "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": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Text(0.5, 0, '$x$ (m)'), Text(0, 0.5, '$y$ (m)'))"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "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": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning\n",
    "import numpy as np\n",
    "def Bcircle(r,r0,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 = r0 + 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"
   ]
  },
  {
   "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": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Numerisk =  [0.000e+00 0.000e+00 6.285e-06]\n",
      "Eksakt =  [0.000e+00 0.000e+00 6.285e-06]\n"
     ]
    }
   ],
   "source": [
    "# Løsning\n",
    "# Vi tester ved å sette r0 = (0,0,0)\n",
    "r0 = np.array([0,0,0])\n",
    "I = 1.0\n",
    "a = 0.1\n",
    "N = 10 # Det betyr ikke noe hva N er for denne spesielle utregningen\n",
    "r = np.array([0,0,0])\n",
    "Bnum = Bcircle(r,r0,a,I,N)\n",
    "print(\"Numerisk = \",Bnum)\n",
    "mu0 = 1.257e-6\n",
    "Bexact = mu0*I/(2.0*a)*np.array([0,0,1])\n",
    "print(\"Eksakt = \",Bexact)"
   ]
  },
  {
   "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": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning (1 av 2)\n",
    "a = 0.1\n",
    "I = 1.0\n",
    "Lx, Lz, Nx, Nz = 2*a,2*a,20,20\n",
    "x = np.linspace(-Lx,Lx,Nx)\n",
    "z = np.linspace(-Lz,Lz,Nz)\n",
    "rx,rz = np.meshgrid(x,z,indexing='ij')\n",
    "Bx = np.zeros_like(rx)\n",
    "Bz = np.zeros_like(rz)\n",
    "r0 = np.array([0,0,0])\n",
    "N = 100\n",
    "for ix in range(Nx):\n",
    "    for iz in range(Nz):\n",
    "        r = np.array([rx[ix,iz],0,rz[ix,iz]])\n",
    "        Bx[ix,iz],By,Bz[ix,iz] = Bcircle(r,r0,a,I,N)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '$x$ (m)')"
      ]
     },
     "execution_count": 9,
     "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": [
    "# Løsning (2 av 2)\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.subplot(1,2,1)\n",
    "plt.quiver(rx,rz,Bx,Bz)\n",
    "plt.xlabel(\"$x$ (m)\"), plt.ylabel(\"$z$ (m)\")\n",
    "plt.subplot(1,2,2)\n",
    "plt.streamplot(rx.T,rz.T,Bx.T,Bz.T)\n",
    "plt.xlabel(\"$x$ (m)\")"
   ]
  },
  {
   "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": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning\n",
    "import numpy as np\n",
    "def Bsolenoide(r,a,I,N,M):\n",
    "    B = np.array([0,0,0])\n",
    "    # Lag M sirkulære strømmer og summer bidragene\n",
    "    for i in range(M):\n",
    "        zi = -a + (2*a)/(M-1)*i\n",
    "        r0 = np.array([0,0,zi])\n",
    "        B = B + Bcircle(r,r0,a,I,N)\n",
    "    return B"
   ]
  },
  {
   "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": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning (1 av 2)\n",
    "a = 0.1\n",
    "I = 1.0\n",
    "Lx, Lz, Nx, Nz = 2*a,2*a,20,20\n",
    "x = np.linspace(-Lx,Lx,Nx)\n",
    "z = np.linspace(-Lz,Lz,Nz)\n",
    "rx,rz = np.meshgrid(x,z,indexing='ij')\n",
    "Bx = np.zeros_like(rx)\n",
    "Bz = np.zeros_like(rz)\n",
    "r0 = np.array([0,0,0])\n",
    "N = 100 # Antall elementer i hver krets\n",
    "M = 5 # Antall sirkulære kretser\n",
    "for ix in range(Nx):\n",
    "    for iz in range(Nz):\n",
    "        r = np.array([rx[ix,iz],0,rz[ix,iz]])\n",
    "        Bx[ix,iz],By,Bz[ix,iz] = Bsolenoide(r,a,I,N,M)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, '$x$ (m)')"
      ]
     },
     "execution_count": 14,
     "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": [
    "# Løsning (2 av 2)\n",
    "plt.figure(figsize=(12,6))\n",
    "plt.subplot(1,2,1)\n",
    "plt.quiver(rx,rz,Bx,Bz)\n",
    "plt.xlabel(\"$x$ (m)\"), plt.ylabel(\"$z$ (m)\")\n",
    "plt.subplot(1,2,2)\n",
    "plt.streamplot(rx.T,rz.T,Bx.T,Bz.T)\n",
    "plt.xlabel(\"$x$ (m)\")"
   ]
  },
  {
   "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": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Svar"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Løsning - kode\n",
    "N = 100\n",
    "a = 0.1\n",
    "M = 5\n",
    "Ni = 100\n",
    "zp = np.linspace(-a,a,Ni)\n",
    "Bz1 = np.zeros_like(zp)\n",
    "Bz2 = np.zeros_like(zp)\n",
    "Bz3 = np.zeros_like(zp)\n",
    "for i in range(Ni):\n",
    "    zi = zp[i]\n",
    "    r1 = np.array([0,0,zi])\n",
    "    Bxi,Byz,Bzi = Bsolenoide(r1,a,I,N,M)\n",
    "    Bz1[i] = Bzi\n",
    "    r2 = np.array([a/3,0,zi])\n",
    "    Bxi,Byz,Bzi = Bsolenoide(r2,a,I,N,M)\n",
    "    Bz2[i] = Bzi\n",
    "    r3 = np.array([2*a/3,0,zi])\n",
    "    Bxi,Byz,Bzi = Bsolenoide(r3,a,I,N,M)\n",
    "    Bz3[i] = Bzi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Text(0.5, 0, '$z$ (m)'), Text(0, 0.5, '$B_z$'))"
      ]
     },
     "execution_count": 21,
     "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 - plot\n",
    "plt.plot(zp,Bz1,label=\"$B_z(0,0,z)$\")\n",
    "plt.plot(zp,Bz2,label=\"$B_z(a/2,0,z)$\")\n",
    "plt.plot(zp,Bz3,label=\"$B_z(2a/3,0,z)$\")\n",
    "plt.legend()\n",
    "plt.xlabel(\"$z$ (m)\"), plt.ylabel(\"$B_z$\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*(Løsning - tekst)*:\n",
    "Vi forventer at det magnetiske feltet skal være uniformt inne i solenoiden og null på utsiden av solenoiden. Vi ser at det er liten forskjell mellom feltet i midten, dvs. $x=0$, og langs linjen $x=a/3$. Det er som forventet. For $x=2a/3$ ser vi at det er en viss varisjon langsmed solenoiden. Det skyldes endeeffekter. Vi forventer at begge disse variasjonene vil bli mindre hvis f.eks. solenoiden gjøres lang i forhold til radius.\n",
    "\n",
    "Hvis vi plo\n",
    "Vi ser at feltet på utsiden av solenoiden er mye mindre enn inne i solenoiden. Det går ikke helt til null, slik vi forventer for en uendelig lang solenoide. Det er ikke uventet siden solenoiden har en endelig lengde. Feltet utenfor peker i negativ $z$-retning som forventet.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Sammenlikning innenfor og utenfor\n",
    "N = 100\n",
    "a = 0.1\n",
    "M = 5\n",
    "Ni = 100\n",
    "zp = np.linspace(-a,a,Ni)\n",
    "Bz1 = np.zeros_like(zp)\n",
    "Bz2 = np.zeros_like(zp)\n",
    "Bz3 = np.zeros_like(zp)\n",
    "for i in range(Ni):\n",
    "    zi = zp[i]\n",
    "    r1 = np.array([0,0,zi])\n",
    "    Bxi,Byz,Bzi = Bsolenoide(r1,a,I,N,M)\n",
    "    Bz1[i] = Bzi\n",
    "    r2 = np.array([a/2,0,zi])\n",
    "    Bxi,Byz,Bzi = Bsolenoide(r2,a,I,N,M)\n",
    "    Bz2[i] = Bzi\n",
    "    r3 = np.array([2*a,0,zi])\n",
    "    Bxi,Byz,Bzi = Bsolenoide(r3,a,I,N,M)\n",
    "    Bz3[i] = Bzi\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(Text(0.5, 0, '$z$ (m)'), Text(0, 0.5, '$B_z$'))"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6vm+NbTlY85ytPQ2ZbIPTGdcm7OG9yUiDUpyckkHJ1whrnoVlj0PlRtssMfmrMPVW6D8y4myMMWzcV89ra/fy2pp97KxqQgSmFffnstKBXFY6iOH5fewxpVQv1Ta38c7mg/z3hgMs2XSQJl+AnDQPl48fxOfPHMx5owqiu4m3pc7+bj75k330UXp/e91p2teh37Ce1z/JaFCKk1MqKB3eBcsfh9VPQ0utvUfj7G9Gfca3vbKBhZ/tZeFne9le2YjbJXxuZD5XThjMpaUDtVlOJZ2WtgDvbz3E6+v2sWj9Aepb/fTLSOGKMwZz9cQhnF3SP/JHSXW0MDxuWxjA3pR79rdhxLmnTMcIDUpxctIHJWPsIG1LH7X3aCBQejWc/S0YdnbEP6BDDa288tle/r56D2sqahGBs0v6c9XEIcweP4j8vt7oqFSCtPoDvL/lEK+s2cuiDQdo8gUYlJPGnElD+OJZQxk7KCfyzGrKbc1p1VP26eeDJtjgNOE6O7T9SUyDUpyctEHJ74P1L8HHj8D+NbaJbsqttqkht6sBfI/l8wdZvOkAz6+o4J0tlQSChtLBOXxx8lCumjiEQbmxGZtIqeOlyefnrY0HeXn1Ht7dUonf+T9+3ZQi5k4eGvm9cb4m26186e9tk3hmof2tTb0dsgrj+yWOEw1KcXLSBaWmaljxhO280LDfDv9wzrfhzOvBG9n1nS0H6lmwvJx/fLqH6kYfA7JT+eJZQ7lmchGnD9KbCtXJqcppDXhx1R7W7qklxS1cMm4g108bxozRhZF10jHGPox46aOw9b/BnQoTr4dzvhN+VN8TlAalODlpglLVNvtDWP2MHdnztFlwzndtb7oImuiafQFeXbOXvy3fzardNaS4hUtLB/KlKcOYMbpAH2aqTimb9tfx/IoK/r7anpgN7ZfOl6YWcf20YQzOjfD666GtsPQxe1OuvxlGXQKf+559SPFJcN1Jg1KcnPBBafcy+Oghe8HVnWKf4/W578LA0ohW31bZwDNLd/PCynLqWvycVpjJvGnDueasoXqdSJ3yfP4gizYcYMEnu/mg7BAuES4eO4CbzhnB+aMKIusc0VQNK/5se7s2HrRPLD/3e7aDUYwGrjweNCjFyQkZlIJB2PI6fPhbO45MWj/bfj39Dsge2OPqgaBh8aaDzP94J+9vPUSKW5h9xmBuOns400v669hCSnVhd1UTf12+m+dWlFPd6GNkQSZf/dwIrptSRHZaBMHF32rvdfr4YdulPKfINq1PueWEfNaeBqU4OaGCkt9nHyD54YN2NNfc4bZWNPkmSM3qcfW6ljae+6ScJz/aScXhZgbnpnHj2cO5ftpw7catVIRa/QFeX7ufpz7eyerdNWR63Vw3pYivnVdCSUEEjzcKBu0AmB8+BLs+sCMwT7/D9ojNLIh7+WNFg1KcnBBByddku5x+9Ds7iuvAM+C8O+14MBE8daG8uok/f7CD51eU0+gLML24P187r5jLSgfqtSKl+mBNRQ1PfrSTVz7biz9ouHjsAG47v4TPjcyPrMWhYoU9ydz4qn2U0VlfhXP/xwlxM64GpThJ6qDUUmfboj96GJoOwfBzYcYP7AXTCP7Df1Zew+Pvb+f1tftwiXDVxCHcdl4JE4pyE1B4pU4dB+tb+K+lu3lm6S6qGn1MGJrLN2aO5MozBkV24le5xTbHr3kWMPZJ/Od/H/JPi3vZe0uDUpwkZVBqqYNlf7Btzy01NgjN+F8w4nM9rmqM4f2th3jsnW18vL2K7FQPXzlnOLeeW6L3FSkVZy1tAV5atYc/vb+d7YcaKcpL55szR/KlqcMiG4qlptx2XFo1HwI+23Fp5v+GglHxL3yUNCjFSVIFpdZ6e/NdezAacwVc8G8w9KweVw0GDW+u388j75Sxbk8dA3NS+fr5I5k3fVhkF2GVUjETDBoWbTzAY+9s49PyGgqyvNx2fglfPWdEZL/H+gPw8e9g+Z8g0AoTvgQX/DCpak4alOIkKYJSW7N9VMkHv4GmKhuMLvyhfRpxDwJBw6tr9vLw4jK2HmygpCCTb10wkrmTh+pQ4UodZ8YYlu2o5tF3tvHelkpy01O49bxibj23hNyMCIJTw0Fbc1r+J1tzmnwjzPy3pLjmpEEpTo5rUAr44bO/wpL77BhGp82CWf9hR3XtadWg4ZXP9vLQ21vZfqiRMQOz+O5Fo/jCmUN0eAilktBn5TU8vKSMRRsOkJ3q4dbzS7j9vAiDU/0B+OAB+7QWsL31ZvwrZPSPb6G7oUEpTo5LUDIGtrwJb/3U3q9QNA0u+RkUn9fjqu01o9++ZYPR2EHZ/M+LR3P5+EGRP+VYKXXcbNxXx+8Wb+Wfa/d3BKevzyghJ5JmvZpyeOeX9mTWmw0zvm8fANuLEaH7SoNSnCQ8KB1YD2/cBTvehfxRcPFPYdxVPfamM8ZeM3pg0Ra2HGhg7KBs7rxkNJeVajBS6kS0cV8dv31rK2+s309uegp3zBzJ184tJjM1gsE1D2yAt+6GrW/akaEvvQdK5yb08UUalOIkYUGpqRoW32uHV07LhQv/3Q6qF8FjRj7YeohfvbmJNRW1jCzM5PuXjOHzEwZrMFLqJLBuTy0PLNrC4k0HKcjy8r2LRvGVs0dENkLu9nfhzX+HA+vsLSNX3A+Dz4x/odGgFDdxD0rBoB1U76277cB6079he9FE0Ba8pqKG+9/YxIdlVQztl86dl4zmi5OH6g2vSp2EVu6q5ldvbGbZjmqK8tL518vGMGfi0J5PPoMBe4x5+15oroZp34CL/h3S+8W1vBqU4iSuQWn/Onjlf8KeFTDiPLjy/0X0oNTdVU383//ezCuf7aV/pj1zuvGc4dqbTqmTnDGG97Ye4ldvbGL93jpKB+dw15VjmTE6gjGZmg/D4l/YG+4z8uHy/7SDDcapSU+DUpzEJSi1NcO799vHAqX1g8t/Yccz6uE/R02Tj4feLuPppTtxu4RvzBjJHTNH6n1GSp1igkHDK2v28n/f3EzF4WZmjC7gx58fF9mouHs/hdd+AHtW2hvvP/8A5I2IeRk1KMVJzIPSro/h5e9A9XaYdCNc9vMem+p8/iD/tXQXv317K/UtbXxpyjB+cNkYBuboExiUOpW1+gM8/fEufre4jPqWNq6fNozvXzqGAdk9HBuCATvQ59v3AMZ2qJp+B7hi1/SvQSlOYhaU2pptm+7SR21vmKsfsoN5dcMYw5LNB/n5qxvZfqgxurMhpdQpo70VZf7HO0n1uPjerNHcdn5xz036NeXw6p1Q9hYUz4A5D0NecUzKpEEpTmISlPashJfugKoyO67RJT/rcSiJsoMN3PvqBt7dUsnIwkx+8vlSLjy9UMcyUkqFteNQI794bSNvbTzAiPwM/v3KcVxWOrD744YxsPq/7K0oJgiz74OzbunztSYNSnHSp6AUDNgn+y75BWQNhDmPwGkXdbtKfUsbD729lb98uJN0r5s7LxnDzZ8bQYr2qFNKRej9rZXc88oGth5sYMboAu6+ejynFfYwplpNObz8XXuP5NgvwNW/69MTITQoxUmvg1LtHvj7N2Hn+/amtasehPS8sMmNMfx99R7+8/VNHGpo5fqpw/jfl5+uQ44rpXrFHwjy9NJdPLBoCy1tAW47r4R/uXg0Wd3dfBsMwtJH4K2f2QEFv/j7Hi8zhNNdUIrg9l8Vc4d3wL7PYM6jMOkr3VaFN++v5yf/WMfyndVMHNaPP908lYnD4nsPgVLq5OZxu7j1vBKumjiEX72xiT+8t52XP93LT75QypUTBnXdpOdywbn/AiUz4cWvw7bFvQ5K3dGaUh/0qfmuuabbG9QaW/08+NYWnvhwJzlpHn44eyxfnjpMn8SglIq5VbsP85N/rGP93jpmjC7gnjlndD88u68JXB7weHu1ve5qSgm9GCEis0Vks4iUiciPulieKiLPOsuXiUhxyLK7nPmbReTynvIUkRInj61Onl5n/kwRWSUifhG5rtP2AyLyqfNaGI990KGbgPTm+v1c8sC7/PH9HXx5ahGL//VC5k0frgFJKRUXZw3PY+H3zudnV4/n0901XP7gezz41hZa/YGuV/Bm9Dog9SRhQUlE3MAjwBVAKXCDiHR+RMHtwGFjzCjgN8D9zrqlwDxgPDAbeFRE3D3keT/wG2PMaOCwkzfAbuBrwF+7KGazMWaS87o6Bl87KntrmvnG/BV88+mV5Kan8OK3z+U/rzmTvMz4/PGVUqqd2yXccm4xb//rBVw+fhAPvrWVKx58n4+3VSW0HImsKU0Hyowx240xPmABMKdTmjnAU870C8DFYhs35wALjDGtxpgdQJmTX5d5OuvMcvLAyXMugDFmpzFmDRCM1xeNViBoePLDHVz6wLt8sPUQd10xllf+5XymjAjf+UEppeJhQE4av7thMvNvm44/aLjhj0v5txc+o6bJl5DtJzIoDQXKQz5XOPO6TGOM8QO1QH4364abnw/UOHmE21ZX0kRkhYgsFZG5XSUQkTucNCsqKysjyLJ7m/bXce1jH3H3KxuYUtyf//7+TL55wWnazVspdVzNHFPIm3fO5NsXnsaLq/ZwyQPv8spne4l3P4REHvm6uiDS+duFSxOr+T0Z7lx8+wrwoIgcM6i9MeZxY8xUY8zUwsIIHnQYRqs/wAOLtvCFhz5gd3UTv503iaduncaw/hm9zlMppWIp3evmh7PH8sr3zmdov3T+5W+r+cb8leyvbYnbNhMZlCqA0MHhi4C94dKIiAfIBaq7WTfc/ENAPyePcNs6hjFmr/O+HXgHmNzz14reuj21fOGhD3jo7a1cNXEIb/3gAuZMGqpPZFBKJaXSITm89J3z+I/Pj+ODskoufeBdnl9R3vOKvZDIoPQJMNrpFefFdlzo3MNtIXCLM30dsNjYuuJCYJ7TO68EGA0sD5ens84SJw+cPF/urnAikiciqc50AXAesKFP3ziMFLcLXyDIX26dxm+un0R/7ciglEpybpfw9RkjefPOmUwoyqW2uS0u20nofUoiciXwIOAGnjDG/EJE7gFWGGMWikga8DS2hlINzHNqLYjIj4HbAD9wpzHm9XB5OvNHYjs+9AdWAzcZY1pFZBrwdyAPaAH2G2PGi8i5wB+wHSBcwIPGmD939336cp9SIGhwaxdvpdQJyBiDMfT6NhV9zFCcJGw4dKWUOokkzc2zSimlVHc0KCmllEoaGpSUUkolDQ1KSimlkoYGJaWUUklDg5JSSqmkoUFJKaVU0tCgpJRSKmloUFJKKZU0NCgppZRKGhqUlFJKJQ0NSkoppZKGBiWllFJJQ4OSUkqppKFBSSmlVNLw9JxEKaVODm1tbVRUVNDS0nK8i3JKSEtLo6ioiJSUlIjX0aCklDplVFRUkJ2dTXFxMSI68nM8GWOoqqqioqKCkpKSiNfT5jul1CmjpaWF/Px8DUgJICLk5+dHXSvVoKSUOqVoQEqc3uxrDUpKKaWShgYlpZRSSUODklJKJdgf/vAHBg8ezKRJkxg1ahRz587F5/Mdk665uZkLLriAQCAAwBtvvMHpp5/OqFGj+OUvf9njdqJNH8rn8zFz5kz8fn9U6/WVBiWllEqwNWvWcN999/Hpp5+yZcsW1q1bx5o1a45J98QTT3DNNdfgdrsJBAJ897vf5fXXX2fDhg387W9/Y8OGDWG3EW36zrxeLxdffDHPPvtsr75jb2lQUkqpBFu7di2TJ08GoKysDGMMY8aMOSbdM888w5w5cwBYvnw5o0aNYuTIkXi9XubNm8fLL78cdhvRpp81axaTJk1i0qRJpKWl8fzzzzN37lyeeeaZPn7b6Oh9SkqpU9LPXlnPhr11Mc2zdEgOP71qfI/p1q9fz80339xxM+9rr71GTk7OUWl8Ph/bt2+nuLgYgD179jBs2LCO5UVFRSxbtizsNqJNv3jxYgAee+wxlixZwjXXXAPAJ5980uP3iSWtKSmlVAKVl5czYMAA1qxZw8aNG3nkkUe49957j0l36NAh+vXr1/HZGHNMmu66XEebHmD+/Pm8/vrrPPPMM7jdbtxuN16vl/r6+m7XiyWtKSmlTkmR1GjiYc2aNZSWlnZ8njhxIr/+9a/ZtWsXf/zjH9mxYwciwu9+97ujbjwtKiqivKnUXHEAABsVSURBVLy843NFRQVDhgwJu51o0z///PM888wzvPzyy0c9Fqi1tZW0tLSov2dvaU1JKaUSaO3atYwbNw6wtZmnnnqKSy65hBEjRnD77bfjdrv5wx/+QF5eHoFAoCMwTZs2ja1bt7Jjxw58Ph8LFizg6quv7sj34osvZs+ePR2fu0vfOe2rr77Ko48+yksvvXRUAKqqqqKwsDCqZ9f1lQYlpZRKoLVr1/Lkk08yefJkpkyZQktLC/feey87d+7k7rvv5rHHHiMzMxOAyy67jA8++AAAj8fDww8/zOWXX864ceP48pe/zPjxtrYXDAYpKyujf//+HdsJl76rtLfccgsVFRWcd955TJo0iT//+c8ALFmyhCuvvDJRu8Yyxuirl68pU6YYpdSJY8OGDce7CGGNGzfO3HnnnebHP/6xqaqqMsYYs2rVKnPTTTf1uO7atWvN97///Yi2E03aL37xi2bTpk0RpQ2nq30OrDBhjqt6TUkppZJAV/cQTZ48mYsuuohAIIDb7Q677hlnnMEDDzwQ0XYiTevz+Zg7dy6nn356RPnGigYlpZRKYrfddttx2a7X6+Xmm29O+Hb1mpJSSqmkoUFJKaVU0tCgpJRSKmloUFJKKZU0EhqURGS2iGwWkTIR+VEXy1NF5Fln+TIRKQ5Zdpczf7OIXN5TniJS4uSx1cnT68yfKSKrRMQvItd12v4tTvqtInJLPPaBUkqp8BIWlETEDTwCXAGUAjeISGmnZLcDh40xo4DfAPc765YC84DxwGzgURFx95Dn/cBvjDGjgcNO3gC7ga8Bf+1Uvv7AT4GzgenAT0UkLzbfXimlVCQSWVOaDpQZY7YbY3zAAmBOpzRzgKec6ReAi8U+QXAOsMAY02qM2QGUOfl1maezziwnD5w85wIYY3YaY9YAwU7bvhxYZIypNsYcBhZhA6BSSqkESWRQGgqUh3yucOZ1mcYY4wdqgfxu1g03Px+ocfIIt63elA8RuUNEVojIisrKyh6yVEopFY1EBqWunpne+dnq4dLEan53IlrHGPO4MWaqMWZqYWFhD1kqpdSxejscene++c1v8uGHH1JeXs5FF13EuHHjGD9+PL/97W+7Xa8vQ6ZD7IdN71VQEpH5IpLuTPfrKb2jAhgW8rkI2BsujYh4gFygupt1w80/BPRz8gi3rd6UTyml+qw3w6H3ZNmyZZxzzjl4PB5+/etfs3HjRpYuXcojjzwSdhj0vg6ZDrEfNr23NSUX8JgTmH4Q4TqfAKOdXnFebMeFhZ3SLATae71dByx2Ht63EJjn9M4rAUYDy8Pl6ayzxMkDJ8/w4wBbbwKXiUie08HhMmeeUkrFVG+GQwd44YUXOOecc5g4cSLnn38+7ZcQNm7cyJgxY3C73QwePJizzjoLgOzsbMaNG3fUMBWhoh0yHeI/bHpvn323A/gz8BhQFckKxhi/iHwPe6B3A08YY9aLyD3YJ8YudPJ8WkTKsDWkec6660XkOWAD4Ae+a4wJAHSVp7PJHwILROTnwGonb0RkGvB3IA+4SkR+ZowZb4ypFpF7sYEO4B5jTHUv949SKtm9/iPYvza2eQ6aAFf03ATWm+HQAS666CKuu86ea//sZz/jueee66jpzJ59bL+snTt3snr1as4+++wuyxHtkOkQ/2HTewxKThPYmcAWY0yDM/txY0y5iNwNvAb8ayQbM8b8E/hnp3n/J2S6BfhSmHV/Afwikjyd+duxvfM6z/8E2zTX1TaeAJ7o9ksopVQfhA6HDnYI8nvvvZdFixYdla7zcOgATz75JM8++yytra3s37+f++67D4A333yTv/zlL0elbWho4Nprr+XBBx88JuC1M70YMr29zK+//jovvvhiR9Ni+7Dp2dnZPa7fnUhqSs8BEwBE5Fbg/wCFIvIW8BNjzPEZU1gppfoighpNPPR2OPT58+ezfPlyFi9eTFZWFjNnzmT8+PE0NTVRU1Nz1FDnbW1tXHvttdx4440dNZmuRDtkOsR/2PRIrilNAMYAn8fWiuZjr9G4gP/X5xIopdQppLfDoa9du5Zzzz2XrKwsXnzxRT766CMmTJjAkiVLuOiiizryN8Zw++23M27cOH7wg6Mv+UczZHpX6RMxbHokQaneGSxwC7DHGPNfzs2n/ws4p88lUEqpU0hvh0O/5ZZbeOihh5gxYwZbtmxh5MiRZGZmHnM96cMPP+Tpp59m8eLFHR0S/vnPf0Y1ZDp0PcR6QoZNDzckbfsL2y36Zux1pU87LVvZ0/on80uHQ1fqxHIyDoc+efJk4/P5esw/mmHQo03f3bDp8RgO/W5sh4HbgSIRWY/tBbcR0LtHlVIqBno7HPqqVasiyj+aIdOjSR/rYdN7DErGmMdDP4tIEbbWNAF4LyalUEop1aXjNRx6pGI9bHrU9ykZYyqwTz84phu2Ukop1Rc6yJ9SSqmkoUFJKaVU0tCgpJRSKmloUFJKKZU0NCgppZRKGhqUlFJKJQ0NSkoplWC9GXk22hFlu5Nso82G0qCklFIJ1puRZ6MZUbY7yTjabCgNSkoplWC9GXm2pxFlw41K21m0o812NdIsENPRZkP1duRZpZQ6od2//H42VW+KaZ5j+4/lh9N/2GO63o48266rEWXDjUrbWbSjzYYbafaMM86I2WizobSmpJRSCRQ68uzGjRt55JFHuPfee49J19XIsxB+RNknn3yS6dOnM3HiRB599NGwA+6ZXow22z7S7DPPPNPxYFi3290x2mwsaU1JKXVKiqRGEw+9HXkWwo8oG25U2q5EO9psuJFmIXajzYbSmpJSSiVQb0eeNd2MKBtuVFqIbrTZSEeahdiONhtKg5JSSiVQb0eeDTeiLIQflTaa0WajGWkWYjzabKhwo//pS0eeVepkczKOPNudaEaPjXZk2u5Gmw0Vj5FnlVJKxVlvR57tTjSjzUaTNtajzYbSoKSUUkksGUeejfVos6H0mpJSSqmkoUFJKaVU0tCgpJQ6pZgubh5V8dGbfa1BSSl1ykhLS6OqqkoDUwIYY6iqqor65lrt6KCUOmUUFRVRUVER9mGlKrbS0tIoKiqKah0NSkqpU0ZKSgolJSXHuxiqG9p8p5RSKmloUFJKKZU0NCgppZRKGhqUlFJKJQ0NSkoppZKGBiWllFJJQ4OSUkqppJHQoCQis0Vks4iUiciPulieKiLPOsuXiUhxyLK7nPmbReTynvIUkRInj61Ont7utiEixSLSLCKfOq/fx29PKKWU6krCgpKIuIFHgCuAUuAGESntlOx24LAxZhTwG+B+Z91SYB4wHpgNPCoi7h7yvB/4jTFmNHDYyTvsNhzbjDGTnNe3Yvj1lVJKRSCRNaXpQJkxZrsxxgcsAOZ0SjMHeMqZfgG4WETEmb/AGNNqjNkBlDn5dZmns84sJw+cPOf2sA2llFLHWSKD0lCgPORzhTOvyzTGGD9QC+R3s264+flAjZNH522F2wZAiYisFpF3RWRGV19CRO4QkRUiskKfn6WUUrGVyKDUVW2k86N6w6WJ1fzutrEPGG6MmQz8APiriOQck9CYx40xU40xUwsLC7vISimlVG8lMihVAMNCPhcBe8OlEREPkAtUd7NuuPmHgH5OHp231eU2nKbBKgBjzEpgGzCml99VKaVULyQyKH0CjHZ6xXmxHRcWdkqzELjFmb4OWGzswCcLgXlOz7kSYDSwPFyezjpLnDxw8ny5u22ISKHTcQIRGelsY3sMv79SSqkeJGzoCmOMX0S+B7wJuIEnjDHrReQeYIUxZiHwZ+BpESnD1pDmOeuuF5HngA2AH/iuMSYA0FWeziZ/CCwQkZ8Dq528CbcNYCZwj4j4gQDwLWNMdbz2h1JKqWOJjsDYe1OnTjUrVqw43sVQSqkTioisNMZM7WqZPtFBKaVU0tCgpJRSKmloUFJKKZU0NCgppZRKGhqUlFJKJQ0NSkoppZKGBiWllFJJQ4OSUkqppKFBSSmlVNLQoKSUUippaFBSSimVNDQoKaWUShoalJRSSiUNDUpKKaWShgYlpZRSSUODklJKqaShQUkppVTS0KCklFIqaWhQUkoplTQ0KCmllEoaGpSUUkolDQ1KSimlkoYGJaWUUklDg5JSSqmkoUFJKaVU0tCgpJRSKmloUFJKKZU0NCgppZRKGhqUlFJKJQ0NSkoppZKGBiWllFJJQ4OSUkqppKFBSSmlVNLQoKSUUippaFBSSimVNDQoKaWUShoalJRSSiWNhAYlEZktIptFpExEftTF8lQRedZZvkxEikOW3eXM3ywil/eUp4iUOHlsdfL09nYbSimlEiNhQUlE3MAjwBVAKXCDiJR2SnY7cNgYMwr4DXC/s24pMA8YD8wGHhURdw953g/8xhgzGjjs5B31NmK7F5RSSnUnkTWl6UCZMWa7McYHLADmdEozB3jKmX4BuFhExJm/wBjTaozZAZQ5+XWZp7POLCcPnDzn9nIbSimlEiSRQWkoUB7yucKZ12UaY4wfqAXyu1k33Px8oMbJo/O2ot3GUUTkDhFZISIrKisre/zSSimlIpfIoCRdzDMRponV/N5s4+gZxjxujJlqjJlaWFjYxSpKKaV6K5FBqQIYFvK5CNgbLo2IeIBcoLqbdcPNPwT0c/LovK1ot6GUUipBEhmUPgFGO73ivNhOBQs7pVkI3OJMXwcsNsYYZ/48p+dcCTAaWB4uT2edJU4eOHm+3MttKKWUShBPz0liwxjjF5HvAW8CbuAJY8x6EbkHWGGMWQj8GXhaRMqwtZd5zrrrReQ5YAPgB75rjAkAdJWns8kfAgtE5OfAaidverMNpZRSiSG2kqB6Y+rUqWbFihXHuxhKKXVCEZGVxpipXS1LWE1JHfFZ5Wfct+w+cr255KbaV443x75S7XvovGxvNpkpmdie60opFXst/hbqffXU+ersq7WOWl8tda11HfNqW2upba2lzlfHrOGzuO2M22JeDg1Kx4Fb3OSn5VPrq2Vf476OP3Kgm9ZCt7jJ9mYf9WoPWFkpWR3zOk9nebM63lNcKQn8lkqpRAkEAzT5m2jwNVDfVk+Dr4GGtgbqffUd8zqmffXUtdVR77Pz6lrttC/o63Yb2SnZR500Z3gy4vJdtPmuD2LZfGeMobGt8ZizlPb/NHW+uqPOYjr+c/nqaGhroNnf3OM2Ut2pZKZkkpWSZd+99j0zJZNMj33PSMnomJeRkkGGx37O8GR0fM5IySDNnYbbpQ+8UKo3jDG0BFpoamui2d9Mk7+Jpjbn5W+isa2RxrbGo6Y7vxraGmj02fcmf1OP2/S4PB0nstkpzolt6pHP7QEn25tNrje343P7vFj+3rX57gQgIrZW481iCEOiXr8t2GbPjkLOlOrb6mlsa+w4Q2r/j9zga6DRb/9j72vYd9R//tZAa8TbTHOnke5JJyMlg3RPescrzZN2ZNpJk+ZJI82TRqo7tWN+qifVvrtTO5a1z091p+J1e0l1p+ISfW6wSgxjDG3BNloCLfgCPloDrbT6W2kJtNAaaKXF77wHWmjxt3R8bvY328/O/CZ/Ey3+Fpr9zce82gOROfY2yC65xX3k5NF55XhzGJw5uOPksv1Es6OFpL2VxJvVEYBS3aknxCUADUoniRRXCnlpeeSl5fUpn7ZgW8cZW2NbY0fwav8xtf+gmv3NHfM7XoFmmtuaqWyqpCVw5AfZ/qPuLY/LQ5o7Da/ba18u7zHTKe6UI9OulI73FFcKKe6UI9POy+Py4HF5OqZD57W/3OImxZWCW9y4Xe4jn51pj8uDS1y4xIVHPLhcLtzixiVHv58IB4JYMcYQNEGCJkjABDreA8HA0Z+deX7jt+9BPwFz9Hvoq820Hf052HbUdFuwjbaAffcFfEfN8wV9+AI+fEGf/exM+wJH5rcGWjuCUG+luFI6TsLSU46ckKV70umf1v+oE7f2Vod0T3pHq0THtNMa0R6AvC7vKfV/SIOSOkqKK6Wj80UsBU3wyFlmyBll6Flna6C1Y3nHWWrIwaJ9uvMBpS1gA2n7/NCDUftByxfwRXxmGmuCdASp0JeI2GmOTAty1HR7LbF9fuh7R/7OAeuoec506Hc2GEKb69s/h76DE1iwgQUDQYIdy9sDjjGGgAlgMASCgY70QROM347sQehJiNflPeqEJPQEJj0lHa/L21EbT3GlkOZJ66iZty9rX95ei2+v0ad50khzpx1Vu0/zpOFx6eE0FnQvqoRwicueHabE5+JoJALBgA1QTrDq7sy7/Yy9/Ww+9HNbsK3jjN8f9B9VG+hcQwh97+p11IHeCQ6h8zuCRmjgMEeCTWggadc5+HYOYO2fBcH+Cwl44YKi2MDavry9BujC1VFDFAS369iaYvt7ew3TJa6Ommh7jdPtcuMRT8d0e620o+YqR9diQ2u4Ke4UPOI5pWoTJzMNSuqU4XbZA2Maace7KEqpMPQKslJKqaShQUkppVTS0KCklFIqaWhQUkoplTQ0KCmllEoaGpSUUkolDQ1KSimlkoYGJaWUUklDnxLeByJSCezq5eoFwKEYFieWkrVsWq7oaLmio+WKTl/KNcIYU9jVAg1Kx4mIrAj36PbjLVnLpuWKjpYrOlqu6MSrXNp8p5RSKmloUFJKKZU0NCgdP48f7wJ0I1nLpuWKjpYrOlqu6MSlXHpNSSmlVNLQmpJSSqmkoUFJKaVU0tCgFGMi0l9EFonIVuc9L0y6N0SkRkRe7TS/RESWOes/KyJeZ36q87nMWV4cp3Ld4qTZKiK3OPOyReTTkNchEXnQWfY1EakMWfb1RJXLmf+OiGwO2f4AZ/7x3F8ZIvKaiGwSkfUi8suQ9L3aXyIy2/meZSLyoy6Wh/2+InKXM3+ziFweaZ7xLJeIXCoiK0VkrfM+K2SdLv+mCSpXsYg0h2z79yHrTHHKWyYiD4lEP9RtH8p1Y6ffYFBEJjnLErG/ZorIKhHxi8h1nZaF+232bn8ZY/QVwxfwK+BHzvSPgPvDpLsYuAp4tdP854B5zvTvgW87098Bfu9MzwOejXW5gP7Aduc9z5nO6yLdSmCmM/014OF47q/uygW8A0ztYp3jtr+ADOAiJ40XeB+4orf7C3AD24CRTn6fAaWRfF+g1EmfCpQ4+bgjyTPO5ZoMDHGmzwD2hKzT5d80QeUqBtaFyXc58DlAgNfb/6aJKFenNBOA7QneX8XAmcB84LoIf5u92l9aU4q9OcBTzvRTwNyuEhlj3gbqQ+c5ZxKzgBe6WD803xeAi6M8U4ukXJcDi4wx1caYw8AiYHanMo4GBmAPtLEQk3L1kG9C95cxpskYswTAGOMDVgFFUWy7s+lAmTFmu5PfAqd84cob+n3nAAuMMa3GmB1AmZNfJHnGrVzGmNXGmL3O/PVAmoikRrn9mJcrXIYiMhjIMcZ8bOwRdz5hftsJKNcNwN+i3HafymWM2WmMWQMEO63b5W+gL/tLg1LsDTTG7ANw3qOpSucDNcYYv/O5AhjqTA8Fyp18/UCtkz6W5erYRhfbb3cD9uwttNvmtSKyRkReEJFhUZQpVuX6i9Ns8ZOQH3BS7C8R6YetEb8dMjva/RXJ3yXc9w23biR5xrNcoa4FVhtjWkPmdfU3TVS5SkRktYi8KyIzQtJX9JBnvMvV7nqODUrx3l/Rrtvr/eWJcMMqhIi8BQzqYtGP+5p1F/NMBMtiVa4et4FtUvhqyOdXgL8ZY1pF5FvYs7xZoSvEuVw3GmP2iEg28KJTtvk9rJOIciEiHuzB4yFjzHZndo/7K9rt9JAm3PyuTkijvT+kL+WyC0XGA/cDl4UsD/c3TUS59gHDjTFVIjIF+IdTxkjyjGe57EKRs4EmY8y6kOWJ2F/RrtvrPDUo9YIx5pJwy0TkgIgMNsbsc6qwB6PI+hDQT0Q8zllSEdDexFEBDAMqnINdLlAd43JVABeGfC7Ctle35zER8BhjVoZssyok/R+xB5ijxLNcxpg9znu9iPwV2xQxnyTYX9ibC7caYx4M2WaP+yvMdkJrVKH/Lzqn6fx9u1u3pzzjWS5EpAj4O3CzMWZb+wrd/E3jXi6nBaDV2f5KEdkGjHHShzbBJnx/OebRqZaUoP3V3boXdlr3Hfqwv7T5LvYWAu09UG4BXo50RecHsQRo790Sun5ovtcBizs1ocWiXG8Cl4lIntjeZpc589od05btHLDbXQ1sjKJMfSqXiHhEpMApRwrwBaD9DPK47i8R+Tn2gHJn6Aq93F+fAKPF9sz0Yg9MC7spb+j3XQjME9urqwQYjb0AHUmecSuX06z5GnCXMebD9sQ9/E0TUa5CEXE72x+J3V/bnSbcehE5x2keu5koftt9LZdTHhfwJew1H5x5idpf4XT5G+jT/oqml4a+IurJko+9frDVee/vzJ8K/Ckk3ftAJdCMPau43Jk/EnvQKAOeB1Kd+WnO5zJn+cg4les2ZxtlwK2d8tgOjO007z+xF6o/wwbUsYkqF5CJ7Qm4xinDbwH38d5f2LNCgw04nzqvr/dlfwFXAluwvaR+7My7B7i6p++LbY7cBmwmpAdUV3n24v97r8oF/AfQGLJ/PsVetwv7N01Qua4N+fusAq4KyXMq9oC/DXgY54k4iSiXs+xCYGmn/BK1v6Zhj1ONQBWwvqdjRm/3lz5mSCmlVNLQ5jullFJJQ4OSUkqppKFBSSmlVNLQoKSUUippaFBSSimVNDQoKaWUShoalJRSSiUNDUpKnSREJN15iKg7inW8IvKe80gbpY47DUpKnTxuA14yxgQiXcHYoQrexj55WqnjToOSUicIEVksR0YXbRGRL3VKciPO88XEjqC6SUT+JCLrROQZEblERD4UO0Lo9JD1/uGsq9Rxp48ZUuoEIyLfBi4CbmivFTkP0txtjBnkfC7GPotsMvaZaJ9gn+d2O/ZBsLcaY+Y6ad3AfmNMYWK/iVLH0pqSUicQEbkZuAI7hk5oM10BUNMp+Q5jzFpjTBAbmN429ix0LXZ4awCcfHzOeDxKHVd6cVOpE4TTXHcjMMcY09ZpcTP2CdOhQkdyDYZ8DnLsbz8VaIlRUZXqNa0pKXUCEJEvAN8BrjHGHBM8jDGHAbeIdA5MkeSdD1R2EeiUSjgNSkqdGJ7CjtP0odPR4fYu0vw3cH4v8r4I+GdfCqdUrGhHB6VOEiIyGfiBMearUa73EnYE2M3xKZlSkdOaklInCWPMamBJtDfPAv/QgKSShdaUlFJKJQ2tKSmllEoaGpSUUkolDQ1KSimlkoYGJaWUUklDg5JSSqmkoUFJKaVU0vj/rVJ1+rxmQfoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(zp,Bz1,label=\"$B_z(0,0,z)$\")\n",
    "plt.plot(zp,Bz2,label=\"$B_z(a/2,0,z)$\")\n",
    "plt.plot(zp,Bz3,label=\"$B_z(2a,0,z)$\")\n",
    "plt.legend()\n",
    "plt.xlabel(\"$z$ (m)\"), plt.ylabel(\"$B_z$\")"
   ]
  },
  {
   "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
}
