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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"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}