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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
-}