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-{
- "metadata": {
- "name": "",
- "signature": "sha256:fbb68fbb0713029438d419fcf28fa2bcf0bc60f8a093b90691d3e7397e7a942d"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 8:Magnetic Properties"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.1, Page number 8.3"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "M = 1.4 #value of magnetic field when filled with iron\n",
- "H = 6.5*10**-4 #value of magnetic field in the interior\n",
- "\n",
- "#Calculations\n",
- "x = M/H\n",
- "ur = 1+x\n",
- "\n",
- "#Result\n",
- "print \"Relative permeability of iron is\",round(ur,2),\"(Calculation mistake in textbook)\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Relative permeability of iron is 2154.85 (Calculation mistake in textbook)\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.2, Page number 8.3"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "M = 3300 #value of magnetic filed(amp/m) \n",
- "H = 220 #strength of magnetic filed(amp/m)\n",
- "\n",
- "#Calculations\n",
- "x = (M/H)+1\n",
- "\n",
- "#Result\n",
- "print \"Relative permeability of iron is\",round(x,2)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Relative permeability of iron is 16.0\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.3, Page number 8.4"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import pi\n",
- "\n",
- "#Variable declaration\n",
- "H = 10**6 #magnetic field intensity(amp/m)\n",
- "x = 1.5*10**-3 #susceptibility\n",
- "Uo = 4*pi*10**-7 \n",
- "\n",
- "#Calculations\n",
- "M = x*H #magnetization of material\n",
- "B = Uo*(M+H) #flux density\n",
- "\n",
- "#Result\n",
- "print \"Magnetization =\",round((M/1E+3),1),\"*10^3 A/m\"\n",
- "print \"Flux density =\",round(B,3),\"T\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetization = 1.5 *10^3 A/m\n",
- "Flux density = 1.259 T\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.4, Page number 8.4"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import pi\n",
- "\n",
- "#Variable declaration\n",
- "H = 10**4 #magnetic field intensity(amp/m)\n",
- "x = 3.7*10**-3 #susceptibility\n",
- "Uo = 4*pi*10**-7 \n",
- "\n",
- "#Calculations\n",
- "M = x*H #magnetization of material\n",
- "B = Uo*(M+H) #flux density\n",
- "\n",
- "#Result\n",
- "print \"Magnetization =\",M,\"A/m\"\n",
- "print \"Flux density =\",round(B,4),\"wb/m^2\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetization = 37.0 A/m\n",
- "Flux density = 0.0126 wb/m^2\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.5, Page number 8.14"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import pi\n",
- "\n",
- "#Variable declaration\n",
- "I = 500*10**-3 #current(A)\n",
- "d = 10*10**-2 #diameter of loop(m)\n",
- "\n",
- "#Calculations\n",
- "r = d/2 #radius(m)\n",
- "A = 2*pi*r**2 #area(m^2)\n",
- "Um = I*A\n",
- "\n",
- "#Result\n",
- "print \"Magnetic moment =\",round((Um/1E-3),3),\"*10^-3 A-m^2\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetic moment = 7.854 *10^-3 A-m^2\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.6, Page number 8.18"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "r = 5.29*10**-11 #radius of the orbit(m)\n",
- "B = 2 #field strength(Tesla)\n",
- "e = 1.602*10**-19 #charge of an electron(C)\n",
- "m = 9.108*10**-31 #mass of an electron(kg)\n",
- "\n",
- "#Calculation\n",
- "Uind = (e**2*r**2*B)/(4*m)\n",
- "\n",
- "#Result\n",
- "print \"Change in magnetic moment =\",round((Uind/1E-29),3),\"*10^-29 A-m^2\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Change in magnetic moment = 3.943 *10^-29 A-m^2\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.7, Page number 8.22"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Varaible declaration\n",
- "T1 = 350 #temperature(K)\n",
- "x1 = 2.8*10**-4 #susceptibility at T1\n",
- "T2 = 300 #temperature(K)\n",
- "\n",
- "#Calculation\n",
- "x2 = (x1*T1)/T2\n",
- "\n",
- "#Result\n",
- "print \"Susceptibility at 300k is\",round((x2/1E-4),3),\"*10^-4\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Susceptibility at 300k is 3.267 *10^-4\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.8, Page number 8.27"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import pi \n",
- "\n",
- "#Variable declaration\n",
- "den = 8906 #density of nickel(kg/m^3)\n",
- "N = 6.025*10**26 #Avogadro's number\n",
- "Ma = 58.7 #atomic weight\n",
- "Bs = 0.65 #magnetic induction(wb/m^2)\n",
- "Uo = 4*pi*10**-7\n",
- "\n",
- "#Calculations\n",
- "n = (den*N)/Ma #no. of nickel atoms per m^3\n",
- "\n",
- "#Since x is very large, B = n*Uo*Um\n",
- "Um = Bs/(n*Uo))\n",
- "\n",
- "#Result\n",
- "print \"Magnetic moment =\",Um,\"A-m^2\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetic moment = 5.65850692635e-24 A-m^2\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.9, Page number 8.28"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "H = 2 #magnetic filed intensity(wb/m^2)\n",
- "U = 9.4*10**-24\n",
- "k = 1.38*10**-23\n",
- "\n",
- "#Calculations\n",
- "'''\n",
- "n = c*no*exp(-Eg/kT) #no. of electrons\n",
- "where Eg = -U*H\n",
- "For parallel orientation,Eg = -U*H\n",
- "For antiparallel orientation, Eg = U*H\n",
- "therefore,\n",
- "np = c*no*exp(U*H/kT) ---(1)\n",
- "na = c*no*exp(-U*H/kT) ---(2)\n",
- "Dividing (1) by (2), we get,'''\n",
- "\n",
- "T = (2*U*H)/(math.log(2)*k)\n",
- "\n",
- "#Result\n",
- "print \"T=\",round(T,1),\"K\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "T= 3.9 K\n"
- ]
- }
- ],
- "prompt_number": 34
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 8.10, Page number 8.29"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "from math import pi\n",
- "\n",
- "#Variable declaration\n",
- "Uo = 4*pi*10**-7\n",
- "Ma = 157.26 #atomic weight og gadolinium\n",
- "den = 7.8*10**3 #density(kg/m^3)\n",
- "N = 6.025*10**26 #Avogadro's number\n",
- "x = 7.1 #Bohr magnetron per atom\n",
- "Um = 9.27*10**-24\n",
- "\n",
- "#Calculations\n",
- "n = (den*N)/Ma #no. of atoms in 1 kg\n",
- "n1 = n*10**-3 #no. of atoms in 1 gm\n",
- "M = n1*x*Um #magnetic moment per gram(a-m^2)\n",
- "\n",
- "Bs = n*Uo*Um #saturization magnetization\n",
- "\n",
- "#Result\n",
- "print \"Magnetic moment per gram =\",round(M,3),\"Am^2\"\n",
- "print \"Saturization magnetization =\",round(Bs,3),\"Wb/m^2(Calculation mistake in textbok)\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnetic moment per gram = 1966.851 Am^2\n",
- "Saturization magnetization = 0.348 Wb/m^2(Calculation mistake in textbok)\n"
- ]
- }
- ],
- "prompt_number": 41
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file