diff options
Diffstat (limited to 'Engineering_Physics/Chapter14_1.ipynb')
| -rw-r--r-- | Engineering_Physics/Chapter14_1.ipynb | 175 |
1 files changed, 175 insertions, 0 deletions
diff --git a/Engineering_Physics/Chapter14_1.ipynb b/Engineering_Physics/Chapter14_1.ipynb new file mode 100644 index 00000000..eb6cc153 --- /dev/null +++ b/Engineering_Physics/Chapter14_1.ipynb @@ -0,0 +1,175 @@ +{ + "metadata": { + "name": "Chapter14" + }, + "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": "#To calculate the spontaneous magnetisation\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nN = 6.02*10**23; #Avogadro's number(per mole)\nA = 56; #Atomic weight of the substance(g/mole)\nd = 7.9; #Density of the substance(g/cm**3)\nm_B = 9.27*10**-24; #Bohr's Magneton(J/T)\n\n#Calculation\nm = 2.2*m_B; #Magnetic moment of substance(J/T)\nn = d*N/A ; #Number of atoms per unit volume of the substance(per cm**3)\nn = n*10**6; #Number of atoms per unit volume of the substance(per m**3)\nM = n*m; #Spontaneous magnetisation of the substance(A/m)\nM = M/10**6;\nM = math.ceil(M*10**3)/10**3; #rounding off the value of M to 3 decimals\n\n#Result\nprint \"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": "#To calculate the relative permeability\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nH = 200; #Field strength to which the ferromagnetic material is subjected(A/m)\nM = 3100; #Magnetisation of the ferromagnetic material(A/m)\n\n#Calculation\nchi = M/H; #Magnetic susceptibility\nmew_r = 1 + chi; #Relative permeability of ferromagnetic material\n\n#Result\nprint \"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": "#To calculate the relative permeability\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nH = 300; #Field strength to which the ferromagnetic material is subjected(A/m)\nM = 4400; #Magnetisation of the ferromagnetic material(A/m)\n\n#Calculation\nchi = M/H; #Magnetic susceptibility\nmew_r = 1 + chi; #Relative permeability of ferromagnetic material\nmew_r = math.ceil(mew_r*100)/100; #rounding off the value of mew_r to 2 decimals\n\n#Result\nprint \"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": "#To calculate the magnetisation and flux density\n\n#importing modules\nimport math\n\n#Variable declaration\nmew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\nH = 10000; #Field strength to which the diamagnetic material is subjected(A/m)\nchi = -0.4*10**-5; #Magnetic susceptibility\n\n#Calculation\nM = chi*H; #Magnetisation of the diamagnetic material(A/m)\nB = mew_0*(H + M); #Magnetic flux density of diamagnetic material(T)\nB = math.ceil(B*10**4)/10**4; #rounding off the value of B to 4 decimals\n\n#Result\nprint \"The magnetisation of diamagnetic material is\",M, \"A/m\"\nprint \"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\nThe 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": "#To calculate the magnetisation, relative permeability and flux density\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nmew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\nH = 1.2*10**5; #Field strength to which the diamagnetic material is subjected(A/m)\nchi = -4.2*10**-6; #Magnetic susceptibility\n\n#Calculation\nM = chi*H; #Magnetisation of the diamagnetic material(A/m)\nB = mew_0*(H + M); #Magnetic flux density of diamagnetic material(T)\nB = math.ceil(B*10**3)/10**3; #rounding off the value of B to 3 decimals\nmew_r = M/H + 1; #The relative permeability of diamagnetic material\nmew_r = math.ceil(mew_r*10**6)/10**6; #rounding off the value of mew_r to 6 decimals\n\n#Result\nprint \"The magnetisation of diamagnetic material is\",M, \"A/m\"\nprint \"The magnetic flux density of diamagnetic material is\",B, \"T\"\nprint \"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\nThe magnetic flux density of diamagnetic material is 0.151 T\nThe 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": "#To calculate the mean radius of the atom\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nchi = 5.6*10**-6; #Magnetic susceptibility of diamagnetic material\nm = 9.1*10**-31; #Mass of an electron(kg)\nmew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\nZ = 1; #Atomic number\ne = 1.6*10**-19; #Electronic charge(C)\na = 2.53; #Lattice parameter of bcc structure(A)\n\n#Calculation\na = a*10**-10; #Lattice parameter of bcc structure(m)\nN = 2/a**3; #The number of electrons per unit volume(per metre cube)\nr = math.sqrt(chi*6*m/(mew_0*Z*e**2*N)); #Mean radius of body centered cubic structure(m)\nr = r*10**10; #Mean radius of body centered cubic structure(A)\nr = math.ceil(r*100)/100; #rounding off the value of r to 2 decimals\n\n#Result\nprint \"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": "#To calculate the magnetic susceptibility and magnetisation\n\n#importing modules\nimport math\nfrom __future__ import division\n\n#Variable declaration\nmew_0 = 4*math.pi*10**-7; #Magnetic permeability of free space(Tm/A)\nN_A = 6.02*10**26; #Avogadro's number(per kmol)\nrho = 4370; #Density of paramegnetic salt(kg/metre cube)\nM = 168.5; #Molecular weight of paramagnetic salt(g/mol)\nT = 27; #Temperature of paramagnetic salt(C)\nH = 2*10**5; #Field strength to which the paramagnetic salt is subjected(A/m)\nmew_B = 9.27*10**-24; #Bohr's magneton(Am**2)\np = 2; #Number of Bohr magnetons per molecule\nk = 1.38*10**-23; #Boltzmann constant(J/K)\n\n#Calculation\nT = T+273; #Temperature of paramagnetic salt(K)\nN = rho*N_A/M; #Total density of atoms in the paramagnetic salt(per meter cube)\nchi_para = mew_0*N*p**2*mew_B**2/(3*k*T); #Magnetic susceptibility of paramagnetic salt\nchi_para = chi_para*10**4;\nchi_para = math.ceil(chi_para*10**2)/10**2; #rounding off the value of chi_para to 2 decimals\nM = chi*H; #Magnetisation of paramagnetic salt(A/m)\nM = math.ceil(M*10)/10; #rounding off the value of M to 1 decimal\n\n#Result\nprint \"The magnetic susceptibility of paramagnetic salt is\",chi_para,\"*10**-4\"\nprint \"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\nThe 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 |