diff options
Diffstat (limited to 'Engineering_Physics_by_G._Aruldhas/Chapter14_1.ipynb')
| -rwxr-xr-x | Engineering_Physics_by_G._Aruldhas/Chapter14_1.ipynb | 365 |
1 files changed, 365 insertions, 0 deletions
diff --git a/Engineering_Physics_by_G._Aruldhas/Chapter14_1.ipynb b/Engineering_Physics_by_G._Aruldhas/Chapter14_1.ipynb new file mode 100755 index 00000000..63e03042 --- /dev/null +++ b/Engineering_Physics_by_G._Aruldhas/Chapter14_1.ipynb @@ -0,0 +1,365 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:396480b86092e159711151589922125e5821f00167a65ea8819e3cd4725bf191" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "14: Magnetic Properties of Materials" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.1, Page number 306" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "N = 6.02*10**23; #Avogadro's number(per mole)\n", + "A = 56; #Atomic weight of the substance(g/mole)\n", + "d = 7.9; #Density of the substance(g/cm**3)\n", + "m_B = 9.27*10**-24; #Bohr's Magneton(J/T)\n", + "\n", + "#Calculation\n", + "m = 2.2*m_B; #Magnetic moment of substance(J/T)\n", + "n = d*N/A ; #Number of atoms per unit volume of the substance(per cm**3)\n", + "n = n*10**6; #Number of atoms per unit volume of the substance(per m**3)\n", + "M = n*m; #Spontaneous magnetisation of the substance(A/m)\n", + "M = M/10**6;\n", + "M = math.ceil(M*10**3)/10**3; #rounding off the value of M to 3 decimals\n", + "\n", + "#Result\n", + "print \"The spontaneous magnetisation of the substance is\",M,\"*10**6 A/m\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The spontaneous magnetisation of the substance is 1.732 *10**6 A/m\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.2, Page number 307" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "H = 200; #Field strength to which the ferromagnetic material is subjected(A/m)\n", + "M = 3100; #Magnetisation of the ferromagnetic material(A/m)\n", + "\n", + "#Calculation\n", + "chi = M/H; #Magnetic susceptibility\n", + "mew_r = 1 + chi; #Relative permeability of ferromagnetic material\n", + "\n", + "#Result\n", + "print \"The relative permeability of ferromagnetic material is\",mew_r" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The relative permeability of ferromagnetic material is 16.5\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.3, Page number 307" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "H = 300; #Field strength to which the ferromagnetic material is subjected(A/m)\n", + "M = 4400; #Magnetisation of the ferromagnetic material(A/m)\n", + "\n", + "#Calculation\n", + "chi = M/H; #Magnetic susceptibility\n", + "mew_r = 1 + chi; #Relative permeability of ferromagnetic material\n", + "mew_r = math.ceil(mew_r*100)/100; #rounding off the value of mew_r to 2 decimals\n", + "\n", + "#Result\n", + "print \"The relative permeability of ferromagnetic material is\",mew_r\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The relative permeability of ferromagnetic material is 15.67\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.4, Page number 307" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "\n", + "#Variable declaration\n", + "mew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\n", + "H = 10000; #Field strength to which the diamagnetic material is subjected(A/m)\n", + "chi = -0.4*10**-5; #Magnetic susceptibility\n", + "\n", + "#Calculation\n", + "M = chi*H; #Magnetisation of the diamagnetic material(A/m)\n", + "B = mew_0*(H + M); #Magnetic flux density of diamagnetic material(T)\n", + "B = math.ceil(B*10**4)/10**4; #rounding off the value of B to 4 decimals\n", + "\n", + "#Result\n", + "print \"The magnetisation of diamagnetic material is\",M, \"A/m\"\n", + "print \"The magnetic flux density of diamagnetic material is\",B, \"T\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The magnetisation of diamagnetic material is -0.04 A/m\n", + "The magnetic flux density of diamagnetic material is 0.0126 T\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.5, Page number 307" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "mew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\n", + "H = 1.2*10**5; #Field strength to which the diamagnetic material is subjected(A/m)\n", + "chi = -4.2*10**-6; #Magnetic susceptibility\n", + "\n", + "#Calculation\n", + "M = chi*H; #Magnetisation of the diamagnetic material(A/m)\n", + "B = mew_0*(H + M); #Magnetic flux density of diamagnetic material(T)\n", + "B = math.ceil(B*10**3)/10**3; #rounding off the value of B to 3 decimals\n", + "mew_r = M/H + 1; #The relative permeability of diamagnetic material\n", + "mew_r = math.ceil(mew_r*10**6)/10**6; #rounding off the value of mew_r to 6 decimals\n", + "\n", + "#Result\n", + "print \"The magnetisation of diamagnetic material is\",M, \"A/m\"\n", + "print \"The magnetic flux density of diamagnetic material is\",B, \"T\"\n", + "print \"The relative permeability of diamagnetic material is\",mew_r\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The magnetisation of diamagnetic material is -0.504 A/m\n", + "The magnetic flux density of diamagnetic material is 0.151 T\n", + "The relative permeability of diamagnetic material is 0.999996\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.6, Page number 308" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "\n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "chi = 5.6*10**-6; #Magnetic susceptibility of diamagnetic material\n", + "m = 9.1*10**-31; #Mass of an electron(kg)\n", + "mew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\n", + "Z = 1; #Atomic number\n", + "e = 1.6*10**-19; #Electronic charge(C)\n", + "a = 2.53; #Lattice parameter of bcc structure(A)\n", + "\n", + "#Calculation\n", + "a = a*10**-10; #Lattice parameter of bcc structure(m)\n", + "N = 2/a**3; #The number of electrons per unit volume(per metre cube)\n", + "r = math.sqrt(chi*6*m/(mew_0*Z*e**2*N)); #Mean radius of body centered cubic structure(m)\n", + "r = r*10**10; #Mean radius of body centered cubic structure(A)\n", + "r = math.ceil(r*100)/100; #rounding off the value of r to 2 decimals\n", + "\n", + "#Result\n", + "print \"The mean radius of body centered cubic structure is\",r, \"A\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The mean radius of body centered cubic structure is 0.88 A\n" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example number 14.7, Page number 308" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "\n", + "#importing modules\n", + "import math\n", + "from __future__ import division\n", + "\n", + "#Variable declaration\n", + "mew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\n", + "N_A = 6.02*10**26; #Avogadro's number(per kmol)\n", + "rho = 4370; #Density of paramegnetic salt(kg/metre cube)\n", + "M = 168.5; #Molecular weight of paramagnetic salt(g/mol)\n", + "T = 27; #Temperature of paramagnetic salt(C)\n", + "H = 2*10**5; #Field strength to which the paramagnetic salt is subjected(A/m)\n", + "mew_B = 9.27*10**-24; #Bohr's magneton(Am**2)\n", + "p = 2; #Number of Bohr magnetons per molecule\n", + "k = 1.38*10**-23; #Boltzmann constant(J/K)\n", + "\n", + "#Calculation\n", + "T = T+273; #Temperature of paramagnetic salt(K)\n", + "N = rho*N_A/M; #Total density of atoms in the paramagnetic salt(per meter cube)\n", + "chi_para = mew_0*N*p**2*mew_B**2/(3*k*T); #Magnetic susceptibility of paramagnetic salt\n", + "chi_para = chi_para*10**4;\n", + "chi_para = math.ceil(chi_para*10**2)/10**2; #rounding off the value of chi_para to 2 decimals\n", + "M = chi*H; #Magnetisation of paramagnetic salt(A/m)\n", + "M = math.ceil(M*10)/10; #rounding off the value of M to 1 decimal\n", + "\n", + "#Result\n", + "print \"The magnetic susceptibility of paramagnetic salt is\",chi_para,\"*10**-4\"\n", + "print \"The magnetisation of paramagnetic salt is\",M, \"A/m\"\n", + "\n", + "#answer for magnetisation is not given in the textbook" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The magnetic susceptibility of paramagnetic salt is 5.43 *10**-4\n", + "The magnetisation of paramagnetic salt is 1.2 A/m\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +}
\ No newline at end of file |