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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# 11: Magnetic Properties"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.1, Page number 312"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "relative permeability is 318.3\n",
+ "susceptibility is 317.3\n",
+ "answer 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",
+ "mew0=4*math.pi*10**-7;\n",
+ "B=0.2; #magnetic induction(web/m**2)\n",
+ "H=500; #magnetic field intensity(amp/m)\n",
+ "\n",
+ "#Calculation\n",
+ "mewr=B/(mew0*H); #relative permeability\n",
+ "chi=mewr-1; #susceptibility\n",
+ "\n",
+ "#Result\n",
+ "print \"relative permeability is\",round(mewr,1)\n",
+ "print \"susceptibility is\",round(chi,1)\n",
+ "print \"answer in the book varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.2, Page number 312"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "relative permeability is 1.00000000948\n",
+ "absolute permeability is 1.257 *10**-6\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "chi=948*10**-11; #susceptibility\n",
+ "\n",
+ "#Calculation\n",
+ "mewr=1+chi; #relative permeability\n",
+ "mew=mewr*mew0; #absolute permeability\n",
+ "\n",
+ "#Result\n",
+ "print \"relative permeability is\",mewr\n",
+ "print \"absolute permeability is\",round(mew*10**6,3),\"*10**-6\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.3, Page number 312"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "relative permeability is 2154\n",
+ "answer in the book is wrong\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "H=6.5*10**-4; #magnetizing force(amp/m)\n",
+ "M=1.4; #magnetic field(T)\n",
+ "\n",
+ "#Calculation\n",
+ "chi=M/H; \n",
+ "mewr=1+chi; #relative permeability\n",
+ "\n",
+ "#Result\n",
+ "print \"relative permeability is\",int(mewr)\n",
+ "print \"answer in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.4, Page number 312"
+ ]
+ },
+ {
+ "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",
+ "H=220; #magnetizing force(amp/m)\n",
+ "M=3300; #magnetic field(T)\n",
+ "\n",
+ "#Calculation\n",
+ "chi=(M/H)+1; #relative permeability\n",
+ "\n",
+ "#Result\n",
+ "print \"relative permeability is\",int(chi)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.5, Page number 313"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "permeability of rod is 0.625 *10**-3 weber/amp.m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "H=1600; #magnetizing force(amp/m)\n",
+ "phi=4*10**-4; #flux(weber)\n",
+ "A=4*10**-4; #area(m**2)\n",
+ "\n",
+ "#Calculation\n",
+ "B=phi/A;\n",
+ "mew=B/H; #permeability of rod(weber/amp.m)\n",
+ "\n",
+ "#Result\n",
+ "print \"permeability of rod is\",mew*10**3,\"*10**-3 weber/amp.m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.6, Page number 313"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetisation of material is 1.5 *10**3 A/m\n",
+ "flux density is 1.259 T\n",
+ "answer 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; #magnetizing force(amp/m)\n",
+ "mew0=4*math.pi*10**-7;\n",
+ "chi=1.5*10**-3; #susceptibility\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,3),\"T\"\n",
+ "print \"answer in the book varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.7, Page number 313"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "flux density is 2.0 *10**-2 weber/metre**2\n",
+ "magnetic intensity is 32 amp-turn/metre\n",
+ "permeability of ring is 6250.0 *10**-7 weber/amp-metre\n",
+ "relative permeability is 497.4\n",
+ "magnetic susceptibility is 496\n",
+ "answer in the book is 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",
+ "phi=2*10**-6; #flux(weber)\n",
+ "A=10**-4; #area(m**2)\n",
+ "N=300; #number of turns\n",
+ "l=30*10**-2; #length(m)\n",
+ "i=0.032; #current(ampere)\n",
+ "\n",
+ "#Calculation\n",
+ "B=phi/A; #flux density(weber/metre**2)\n",
+ "n=N/l;\n",
+ "H=n*i; #magnetic intensity(amp-turn/metre)\n",
+ "mew=B/H; #permeability of ring(weber/amp-metre)\n",
+ "mewr=mew/mew0; #relative permeability\n",
+ "chi=mewr-1; #magnetic susceptibility\n",
+ "\n",
+ "#Result\n",
+ "print \"flux density is\",B*10**2,\"*10**-2 weber/metre**2\"\n",
+ "print \"magnetic intensity is\",int(H),\"amp-turn/metre\"\n",
+ "print \"permeability of ring is\",mew*10**7,\"*10**-7 weber/amp-metre\"\n",
+ "print \"relative permeability is\",round(mewr,1)\n",
+ "print \"magnetic susceptibility is\",int(chi)\n",
+ "print \"answer in the book is wrong\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.8, Page number 316"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "magnetic moment is 9.53 *10**-24 A-m**2\n",
+ "answer 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",
+ "new=6.5*10**15; #frequency(Hz)\n",
+ "r=0.54*10**-10; #radius(m)\n",
+ "e=1.6*10**-19; #charge(coulomb)\n",
+ "\n",
+ "#Calculation\n",
+ "mew_m=e*new*math.pi*r**2; #magnetic moment(A-m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"magnetic moment is\",round(mew_m*10**24,2),\"*10**-24 A-m**2\"\n",
+ "print \"answer in the book varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example number 11.9, Page number 317"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "bohr's magneton is 9.29 *10**-24 J/T\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "e=1.6*10**-19; #charge(coulomb)\n",
+ "m=9.1*10**-31; #mass(kg)\n",
+ "h=6.64*10**-34; #plank's constant(Js)\n",
+ "\n",
+ "#Calculation\n",
+ "mewb=e*h/(4*math.pi*m); #bohr's magneton(J/T)\n",
+ "\n",
+ "#Result\n",
+ "print \"bohr's magneton is\",round(mewb*10**24,2),\"*10**-24 J/T\""
+ ]
+ }
+ ],
+ "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
+}
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