{
 "metadata": {
  "name": "",
  "signature": "sha256:544912fca601384def1f6da3b02bc7431b47e0d8f9efa5f2e7d2a367448daaa6"
 },
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 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Magnetic Properties"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.1, Page number 119"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "H=6.5*10**-4;    #magnetic field in T\n",
      "M=1.4;     #field with iron\n",
      "\n",
      "#Calculation\n",
      "chi=M/H;\n",
      "mew_r=1+chi;\n",
      "mew_r=math.ceil(mew_r*10**2)/10**2;   #rounding off to 2 decimals\n",
      "\n",
      "#Result\n",
      "print(\"relative permeability of iron is\",mew_r);\n",
      "\n",
      "#answer given in the book is wrong"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('relative permeability of iron is', 2154.85)\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.2, Page number 119"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "H=220;     #field in amp/m\n",
      "M=3300;    #magnetisation in amp/m\n",
      "\n",
      "#Calculation\n",
      "chi=M/H;\n",
      "mew_r=1+chi;\n",
      "\n",
      "#Result\n",
      "print(\"relative permeability is\",mew_r);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('relative permeability is', 16.0)\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.3, Page number 120 *****"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "r=5.29*10**-11;     #radius of orbit in m\n",
      "B=2;   #applied field in Tesla\n",
      "e=1.602*10**-19;   #charge of electron in coulomb\n",
      "m=9.108*10**-31;    #mass of electron in kg\n",
      "\n",
      "#Calculation\n",
      "mew=(e**2)*(r**2)*B/(4*m);\n",
      "\n",
      "#Result\n",
      "print(\"magnetic moment in Am^2 is\",mew);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('magnetic moment in Am^2 is', 3.94260574090909e-29)\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.4, Page number 120"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "\n",
      "#Variable decleration\n",
      "chi=0.5*10**-5;    #susceptibility \n",
      "H=10**6;      #field strength in amp/m\n",
      "\n",
      "#Calculation\n",
      "mew_0=4*math.pi*10**-7;\n",
      "I=chi*H;\n",
      "B=mew_0*(I+H);\n",
      "B=math.ceil(B*10**3)/10**3;   #rounding off to 3 decimals\n",
      "\n",
      "#Result\n",
      "print(\"intensity of magnetisation in Amp/m is\",I);\n",
      "print(\"flux density in Weber/m^2 is\",B);\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('intensity of magnetisation in Amp/m is', 5.0)\n",
        "('flux density in Weber/m^2 is', 1.257)\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.5, Page number 120"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "    \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "e=2.86;    #edge in armstrong\n",
      "e=e*10**-10;        #edge in m\n",
      "Is=1.76*10**6;    #magnetisation in amp/m\n",
      "mewB=9.27*10**-24;   #1 bohr magneton in amp m^2\n",
      "\n",
      "#Calculation\n",
      "N=2/(e**3);    #density per m^3\n",
      "mewbar=Is/N;\n",
      "mew_bar=mewbar/mewB;\n",
      "mew_bar=math.ceil(mew_bar*10**3)/10**3;   #rounding off to 3 decimals\n",
      "\n",
      "#Result\n",
      "print(\"average dipole moment in mewB is\",mew_bar);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('average dipole moment in mewB is', 2.221)\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.6, Page number 121 ***"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "H=10**6;    #magnetic field in amp/m\n",
      "chi=1.5*10**-3;     #susceptibility\n",
      "\n",
      "#Calculation\n",
      "mew_0=4*math.pi*10**-7;\n",
      "M=chi*H;\n",
      "B=mew_0*(M+H);\n",
      "\n",
      "#Result\n",
      "print(\"magnetisation in Amp/m is\",M);\n",
      "print(\"flux density in Tesla is\",B);\n",
      "\n",
      "#answer for flux density given in the book is wrong"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('magnetisation in Amp/m is', 1500.0)\n",
        "('flux density in Tesla is', 1.258522017028071)\n"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.7, Page number 121"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "chi=3.7*10**-3;    #susceptibility \n",
      "H=10**4;           #field strength in amp/m\n",
      "\n",
      "#Calculation\n",
      "mew_0=4*math.pi*10**-7;\n",
      "M=chi*H;\n",
      "B=mew_0*(M+H);\n",
      "B=math.ceil(B*10**5)/10**5;   #rounding off to 5 decimals\n",
      "\n",
      "#Result\n",
      "print(\"magnetisation in Amp/m is\",M);\n",
      "print(\"flux density in Weber/m^2 is\",B);\n",
      "\n",
      "#answer for flux density given in the book is wrong"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('magnetisation in Amp/m is', 37.0)\n",
        "('flux density in Weber/m^2 is', 0.01262)\n"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.8, Page number 121"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "r=0.052*10**-9;     #radius of orbit in m\n",
      "B=1;               #magnetic field in Wb/m^2\n",
      "e=1.6*10**-19;      #charge of electron in coulomb\n",
      "m=9.1*10**-31;      #mass of electron in kg\n",
      "\n",
      "#Calculation\n",
      "dmew=(e**2)*(r**2)*B/(4*m);\n",
      "\n",
      "#Result\n",
      "print(\"magnetic moment in Am^2 is\",dmew);\n",
      "\n",
      "#answer given in the book is wrong"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('magnetic moment in Am^2 is', 1.901714285714286e-29)\n"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.9, Page number 122"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "\n",
      "#Variable decleration\n",
      "chi=-0.5*10**-5;    #susceptibility \n",
      "H=9.9*10**4;        #field strength in amp/m\n",
      "\n",
      "#Calculation\n",
      "mew_0=4*math.pi*10**-7;\n",
      "I=chi*H;\n",
      "B=mew_0*H*(1+chi);\n",
      "I=math.ceil(I*10**4)/10**4;   #rounding off to 4 decimals\n",
      "B=math.ceil(B*10**4)/10**4;   #rounding off to 4 decimals\n",
      "\n",
      "#Result\n",
      "print(\"intensity of magnetisation in Amp/m is\",I);\n",
      "print(\"flux density in Weber/m^2 is\",B);\n",
      "\n",
      "#answer for flux density given in the book is wrong "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('intensity of magnetisation in Amp/m is', -0.495)\n",
        "('flux density in Weber/m^2 is', 0.1245)\n"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.10, Page number 122"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "r=6.1*10**-11;     #radius of H atom in m\n",
      "new=8.8*10**15;    #frequency in rev/sec\n",
      "e=1.6*10**-19;\n",
      "\n",
      "#Calculation\n",
      "mew0=4*math.pi*10**-7;\n",
      "i=e*new;\n",
      "B=(mew0*i)/(2*r);\n",
      "mew=i*math.pi*(r**2);\n",
      "i=math.ceil(i*10**7)/10**7;   #rounding off to 7 decimals\n",
      "B=math.ceil(B*10**3)/10**3;   #rounding off to 3 decimals\n",
      "\n",
      "#Result\n",
      "print(\"current in amp is\",i);\n",
      "print(\"magnetic induction in weber/m^2 is\",B);\n",
      "print(\"dipole moment in amp m^2 is\",mew);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('current in amp is', 0.0014081)\n",
        "('magnetic induction in weber/m^2 is', 14.503)\n",
        "('dipole moment in amp m^2 is', 1.645933169972273e-23)\n"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.11, Page number 123"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "Is=1.96*10**6;     #saturation magnetisation in amp/m\n",
      "a=3;             #cube edge of iron in armstrong\n",
      "a=a*10**-10;    #cube edge of iron in m\n",
      "mew_b=9.27*10**-24;     #bohr magneton in amp/m^2\n",
      "n=2;    #number of atoms per unit cell\n",
      "\n",
      "#Calculation\n",
      "N=n/(a**3);\n",
      "mewbar=Is/N;\n",
      "mew_ab=mewbar/mew_b;\n",
      "mew_ab=math.ceil(mew_ab*10**4)/10**4;   #rounding off to 4 decimals\n",
      "\n",
      "#Result\n",
      "print(\"average number of Bohr magnetons in bohr magneton per atom is\",mew_ab);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('average number of Bohr magnetons in bohr magneton per atom is', 2.8544)\n"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.12, Page number 123"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "I=3000;     #magnetisation in amp/m\n",
      "B=0.005;    #flux density in weber/m^2\n",
      "\n",
      "#Calculation\n",
      "mew0=4*math.pi*10**-7;\n",
      "H=(B/mew0)-I;\n",
      "mew_r=(I/H)+1;\n",
      "H=math.ceil(H*10**3)/10**3;   #rounding off to 3 decimals\n",
      "mew_r=math.ceil(mew_r*10**3)/10**3;   #rounding off to 3 decimals\n",
      "\n",
      "#Result\n",
      "print(\"magnetic force in amp/m is\",H);\n",
      "print(\"relative permeability is\",mew_r);\n",
      "\n",
      "#answer given in the book is wrong"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('magnetic force in amp/m is', 978.874)\n",
        "('relative permeability is', 4.065)\n"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.13, Page number 124"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "H=1800;          #magnetising field in amp/m\n",
      "phi=3*10**-5;     #magnetic flux in weber\n",
      "A=0.2;           #cross sectional area in cm^2\n",
      "\n",
      "#Calculation\n",
      "A=A*10**-4;       #cross sectional area in m^2\n",
      "B=phi/A;\n",
      "mew=B/H;\n",
      "mew=math.ceil(mew*10**8)/10**8           #rounding off to 8 decimals\n",
      "\n",
      "#Result\n",
      "print(\"the permeability in Henry/m is\",mew);\n",
      "\n",
      "#answer given in the book is wron"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('the permeability in Henry/m is', 0.00083334)\n"
       ]
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.14, Page number 124 ********************"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "r=0.04;    #radius of circular loop in m\n",
      "i=1000;    #current in mA\n",
      "i=i*10**-3;    #current in amp\n",
      "B=10**-3;    #magnetic flux density in Wb/m^2\n",
      "theta=45;    #angle in degrees\n",
      "\n",
      "#Calculation\n",
      "A=math.pi*(r**2);\n",
      "mew=i*A;\n",
      "tow=i*B*math.cos(theta);\n",
      "mew=math.ceil(mew*10**6)/10**6           #rounding off to 6 decimals\n",
      "\n",
      "#Result\n",
      "print(\"the magnetic dipole moment in amp m^2 is\",mew);\n",
      "print(\"the torque in Nm is\",tow);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('the magnetic dipole moment in amp m^2 is', 0.005027)\n",
        "('the torque in Nm is', 0.0005253219888177298)\n"
       ]
      }
     ],
     "prompt_number": 36
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.15, Page number 125"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "\n",
      "#Variable decleration\n",
      "A=100;   #area of hysteris loop in m^2\n",
      "B=0.01;   #flux density in wb/m^2\n",
      "H=40;    #magnetic field in amp/m\n",
      "M=7650;   #atomic weight in kg/m^3\n",
      "\n",
      "#Calculation\n",
      "hl=A*B*H;\n",
      "\n",
      "#Result\n",
      "print(\"the hysterisis loss per cycle in J/m^3 is\",hl);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('the hysterisis loss per cycle in J/m^3 is', 40.0)\n"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Example number 4.17, Page number 125"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      " \n",
      "#import module\n",
      "import math\n",
      "from __future__ import division\n",
      "\n",
      "#Variable decleration\n",
      "hl=200;    #hysterisis loss per cycle in J/m^3\n",
      "M=7650;    #atomic weight in kg/m^3\n",
      "m=100;    #magnetisation cycles per second\n",
      "\n",
      "#Calculation\n",
      "hpl=hl*m;\n",
      "pl=hpl/M;\n",
      "pl=math.ceil(pl*10**4)/10**4           #rounding off to 4 decimals\n",
      "\n",
      "#Result\n",
      "print(\"hysterisis power loss per second in watt/m^3 is\",hpl);\n",
      "print(\"the power loss in watt/kg is\",pl); \n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "('hysterisis power loss per second in watt/m^3 is', 20000)\n",
        "('the power loss in watt/kg is', 2.6144)\n"
       ]
      }
     ],
     "prompt_number": 40
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}