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-{

- "cells": [

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "#11: Magnetic properties"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.1, Page number 11.3"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 3,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "relative permeability of iron is 2154\n",

-      "answer given in the book is wrong\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "M=1.4;     #magnetic field(T)\n",

-    "H=6.5*10**-4;  #magnetic field(T)\n",

-    "\n",

-    "#Calculation\n",

-    "chi=M/H;\n",

-    "mew_r=1+chi;      #relative permeability of iron\n",

-    "\n",

-    "#Result\n",

-    "print \"relative permeability of iron is\",int(mew_r)\n",

-    "print \"answer given in the book is wrong\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.2, Page number 11.3"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 4,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "relative permeability is 16\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "M=3300;     #magnetic field(amp/m)\n",

-    "H=220;  #magnetic field(amp/m)\n",

-    "\n",

-    "#Calculation\n",

-    "chi=M/H;\n",

-    "mew_r=1+chi;      #relative permeability\n",

-    "\n",

-    "#Result\n",

-    "print \"relative permeability is\",int(mew_r)"

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.3, Page number 11.3"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 8,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "magnetisation of material is 1.5 *10**3 A/m\n",

-      "flux density is 1.2585 T\n",

-      "answer given in the book varies due to rounding off errors\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "H=10**6;  #magnetic field(amp/m)\n",

-    "chi=1.5*10**-3;\n",

-    "mew0=4*math.pi*10**-7;\n",

-    "\n",

-    "#Calculation\n",

-    "M=chi*H;     #magnetisation of material(A/m)\n",

-    "B=mew0*(M+H);     #flux density(T)\n",

-    "\n",

-    "#Result\n",

-    "print \"magnetisation of material is\",M/10**3,\"*10**3 A/m\"\n",

-    "print \"flux density is\",round(B,4),\"T\"\n",

-    "print \"answer given in the book varies due to rounding off errors\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.4, Page number 11.4"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 10,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "magnetisation of material is 37.0 A/m\n",

-      "flux density is 0.0126 wb/m**2\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "H=10**4;  #magnetic field(amp/m)\n",

-    "chi=3.7*10**-3;\n",

-    "mew0=4*math.pi*10**-7;\n",

-    "\n",

-    "#Calculation\n",

-    "M=chi*H;     #magnetisation of material(A/m)\n",

-    "B=mew0*(M+H);     #flux density(T)\n",

-    "\n",

-    "#Result\n",

-    "print \"magnetisation of material is\",M,\"A/m\"\n",

-    "print \"flux density is\",round(B,4),\"wb/m**2\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.5, Page number 11.13"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 15,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "magnetic moment is 7.854 *10**-3 Am**2\n",

-      "answer given in the book varies due to rounding off errors\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "r=5*10**-2      #radius(m)\n",

-    "I=500*10**-3;    #current(A)\n",

-    "\n",

-    "#Calculation\n",

-    "A=2*math.pi*r**2;\n",

-    "mew_m=I*A;     #magnetic moment(Am**2)\n",

-    "\n",

-    "#Result\n",

-    "print \"magnetic moment is\",round(mew_m*10**3,3),\"*10**-3 Am**2\"\n",

-    "print \"answer given in the book varies due to rounding off errors\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.6, Page number 11.17"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 17,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "change in magnetic moment is 3.943 *10**-29 Am**2\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "r=5.29*10**-11;     #radius(m)\n",

-    "B=2;     #magnetic field(T)\n",

-    "e=1.602*10**-19;   #charge(c)\n",

-    "m=9.108*10**-31;    #mass(kg)\n",

-    "\n",

-    "#Calculation\n",

-    "mew_ind=e**2*r**2*B/(4*m);      #change in magnetic moment(Am**2)\n",

-    "\n",

-    "#Result\n",

-    "print \"change in magnetic moment is\",round(mew_ind*10**29,3),\"*10**-29 Am**2\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.7, Page number 11.21"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 19,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "susceptibility is 3.267 *10**-4\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "chi1=2.8*10**-4;     #susceptibility\n",

-    "T1=350;          #temperature(K)\n",

-    "T2=300;          #temperature(K)\n",

-    "\n",

-    "#Calculation\n",

-    "chi2=chi1*T1/T2;     #susceptibility\n",

-    "\n",

-    "#Result\n",

-    "print \"susceptibility is\",round(chi2*10**4,3),\"*10**-4\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.8, Page number 11.27"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 25,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "magnetic moment is 0.61 mewB\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "Bs=0.65;      #magnetic induction(wb/m**2)\n",

-    "d=8906;       #density(kg/m**3)\n",

-    "n=6.025*10**26;     #avagadro number\n",

-    "mew0=4*math.pi*10**-7;\n",

-    "w=58.7;     #atomic weight(kg)\n",

-    "\n",

-    "#Calculation\n",

-    "N=d*n/w;     #number of nickel atoms(per m**3)\n",

-    "mew_m=Bs/(N*mew0*9.27*10**-24);     #magnetic moment(mewB)\n",

-    "\n",

-    "#Result\n",

-    "print \"magnetic moment is\",round(mew_m,2),\"mewB\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.9, Page number 11.27"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 26,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "temperature is 3.9 K\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "mew=9.4*10**-24;    \n",

-    "H=2;      #magnetic field(weber/m**2)\n",

-    "k=1.38*10**-23;     #boltzmann constant\n",

-    "\n",

-    "#Calculation\n",

-    "T=2*mew*H/(math.log(2)*k);    #temperature(K)\n",

-    "\n",

-    "#Result\n",

-    "print \"temperature is\",round(T,1),\"K\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.10, Page number 11.28"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 39,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "magnetic moment per gram 1966.851 Am**2\n",

-      "magnetic moment per gram is 2.4716 Wb/m**2\n",

-      "answer given in the book varies due to rounding off errors\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "d=7.8*10**3;    #density(kg/m**3)\n",

-    "n=6.025*10**26;    #number of atoms\n",

-    "w=157.26;     #atomic weight(kg)\n",

-    "mewm=9.27*10**-24;\n",

-    "mew=7.1*mewm;\n",

-    "mew0=4*math.pi*10**-7;\n",

-    "\n",

-    "#Calculation\n",

-    "N=d*n/w;       #number of atoms\n",

-    "mew_B=N*mew/10**3;     #magnetic moment per gram(Am**2)\n",

-    "Bs=N*mew0*mew;\n",

-    "\n",

-    "#Result\n",

-    "print \"magnetic moment per gram\",round(mew_B,3),\"Am**2\"\n",

-    "print \"magnetic moment per gram is\",round(Bs,4),\"Wb/m**2\"\n",

-    "print \"answer given in the book varies due to rounding off errors\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.11, Page number 11.42"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 41,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "critical field is 0.02166 Tesla\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "Tc=3.7;     #temperature(K)\n",

-    "Hc0=0.0306;    #critical field(T)\n",

-    "T=2;      #temperature(K)\n",

-    "\n",

-    "#Calculation\n",

-    "Hc2=Hc0*(1-(T/Tc)**2);      #critical field(T)\n",

-    "\n",

-    "#Result\n",

-    "print \"critical field is\",round(Hc2,5),\"Tesla\""

-   ]

-  },

-  {

-   "cell_type": "markdown",

-   "metadata": {},

-   "source": [

-    "##Example number 11.12, Page number 11.44"

-   ]

-  },

-  {

-   "cell_type": "code",

-   "execution_count": 45,

-   "metadata": {

-    "collapsed": false

-   },

-   "outputs": [

-    {

-     "name": "stdout",

-     "output_type": "stream",

-     "text": [

-      "critical current is 134.33 A\n",

-      "answer given in the book is wrong\n"

-     ]

-    }

-   ],

-   "source": [

-    "#importing modules\n",

-    "import math\n",

-    "from __future__ import division\n",

-    "\n",

-    "#Variable declaration\n",

-    "Tc=7.18;     #temperature(K)\n",

-    "H0=6.5*10**4;    #critical field(T)\n",

-    "T=4.2;      #temperature(K)\n",

-    "d=1*10**-3;    #diameter(m)\n",

-    "\n",

-    "#Calculation\n",

-    "Hc=H0*(1-(T/Tc)**2);      #critical field(T)\n",

-    "ic=math.pi*d*Hc;       #critical current(A)\n",

-    "\n",

-    "#Result\n",

-    "print \"critical current is\",round(ic,2),\"A\"\n",

-    "print \"answer given in the book is wrong\""

-   ]

-  }

- ],

- "metadata": {

-  "kernelspec": {

-   "display_name": "Python 2",

-   "language": "python",

-   "name": "python2"

-  },

-  "language_info": {

-   "codemirror_mode": {

-    "name": "ipython",

-    "version": 2

-   },

-   "file_extension": ".py",

-   "mimetype": "text/x-python",

-   "name": "python",

-   "nbconvert_exporter": "python",

-   "pygments_lexer": "ipython2",

-   "version": "2.7.9"

-  }

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- "nbformat": 4,

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