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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 7: Magnetic Properties"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 1, Page number 7-22"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetic flux density is 0.628 wb/m**2\n",
+ "magnetic moment is -2.0 A/m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "chi=-0.4*10**-5; #magnetic susceptibility\n",
+ "H=5*10**5; #magnetic field intensity(amp/m)\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "\n",
+ "#Calculation\n",
+ "B=mew0*H*(1+chi); #magnetic flux density(wb/m**2)\n",
+ "M=chi*H; #magnetic moment(A/m)\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetic flux density is\",round(B,3),\"wb/m**2\"\n",
+ "print \"magnetic moment is\",M,\"A/m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 2, Page number 7-22"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetisation is -0.25 *10**-2 A/m\n",
+ "magnetic flux density is 1.257 *10**-3 wb/m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "chi=-0.25*10**-5; #magnetic susceptibility\n",
+ "H=1000; #magnetic field intensity(amp/m)\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "\n",
+ "#Calculation\n",
+ "M=chi*H; #magnetisation(A/m)\n",
+ "B=mew0*(H+M); #magnetic flux density(wb/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetisation is\",M*10**2,\"*10**-2 A/m\"\n",
+ "print \"magnetic flux density is\",round(B*10**3,3),\"*10**-3 wb/m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 3, Page number 7-23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetisation is 3500 A/m\n",
+ "magnetic flux density is 4.71 *10**-3 wb/m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "mewr=15; #relative permeability\n",
+ "H=250; #magnetic field intensity(amp/m)\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "\n",
+ "#Calculation\n",
+ "M=H*(mewr-1); #magnetisation(A/m)\n",
+ "B=mew0*(H+M); #magnetic flux density(wb/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetisation is\",M,\"A/m\"\n",
+ "print \"magnetic flux density is\",round(B*10**3,2),\"*10**-3 wb/m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 4, Page number 7-23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetisation is -0.42 A/m\n",
+ "magnetic flux density is 1.2561 *10**-3 wb/m**2\n",
+ "answer for flux density 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",
+ "chi=-0.42*10**-3; #magnetic susceptibility\n",
+ "H=1000; #magnetic field intensity(amp/m)\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "\n",
+ "#Calculation\n",
+ "M=chi*H; #magnetisation(A/m)\n",
+ "B=mew0*(H+M); #magnetic flux density(wb/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetisation is\",M,\"A/m\"\n",
+ "print \"magnetic flux density is\",round(B*10**3,4),\"*10**-3 wb/m**2\"\n",
+ "print \"answer for flux density in the book varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 5, Page number 7-23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetic moment is 3.93 *10**-3 A-m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=0.1; #diameter(m)\n",
+ "i=0.5; #current(ampere)\n",
+ "\n",
+ "#Calculation\n",
+ "r=d/2; #radius of atom(m)\n",
+ "mew=i*math.pi*r**2; #magnetic moment(A-m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetic moment is\",round(mew*10**3,2),\"*10**-3 A-m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 6, Page number 7-23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetising force is 201.4 A/m\n",
+ "relative permeability is 17.38\n",
+ "answers given in the book are wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "B=0.0044; #magnetic flux density(wb/m**2)\n",
+ "M=3300; #magnetisation(A/m)\n",
+ "\n",
+ "#Calculation\n",
+ "H=(B/mew0)-M; #magnetising force(amp/m)\n",
+ "mewr=1+(M/H); #relative permeability\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetising force is\",round(H,1),\"A/m\"\n",
+ "print \"relative permeability is\",round(mewr,2)\n",
+ "print \"answers given in the book are wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 7, Page number 7-24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "change in magnetic moment is 5.705 *10**-29 A-m**2\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",
+ "r=0.52*10**-10; #radius(m)\n",
+ "B=3; #magnetic induction(web/m**2)\n",
+ "e=1.6*10**-19; #charge(c)\n",
+ "m=9.1*10**-31; #mass(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "d_mew=e**2*r**2*B/(4*m); #change in magnetic moment(Am**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"change in magnetic moment is\",round(d_mew*10**29,3),\"*10**-29 A-m**2\"\n",
+ "print \"answer given in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 8, Page number 7-24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "change in magnetic moment is 3.936 *10**-29 A-m**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 induction(web/m**2)\n",
+ "e=1.6*10**-19; #charge(c)\n",
+ "m=9.1*10**-31; #mass(kg)\n",
+ "\n",
+ "#Calculation\n",
+ "d_mew=e**2*r**2*B/(4*m); #change in magnetic moment(Am**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"change in magnetic moment is\",round(d_mew*10**29,3),\"*10**-29 A-m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 9, Page number 7-24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "ssusceptibility at 300K 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 at 300K\n",
+ "\n",
+ "#Result\n",
+ "print \"susceptibility at 300K is\",round(chi2*10**4,3),\"*10**-4\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 10, Page number 7-25"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "relative permeability of iron is 2153.85\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "B0=6.5*10**-4; #magnetic field(Tesla)\n",
+ "B=1.4; #magnetic field(Tesla)\n",
+ "\n",
+ "#Calculation\n",
+ "mewr=B/B0; #relative permeability of iron\n",
+ "\n",
+ "#Result\n",
+ "print \"relative permeability of iron is\",round(mewr,2)"
+ ]
+ }
+ ],
+ "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": "2.7.11"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}