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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 14: MAGNETIC PROPERTIES OF MATERIALS"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.1: Spontaneous_magnetisation_of_the_substance.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.1: Spontaneous magnetisation of the substance: Page-306 (2010)\n",
+"N = 6.023e+023; // Avogadro's number. per mole\n",
+"A = 56; // Atomic weight of the substance, g/mole\n",
+"d = 7.9; // Density of the substance, gram per cm cube\n",
+"m_B = 9.27e-024; // Bohr's Magneton, joule per tesla\n",
+"m = 2.2*m_B; // Magnetic moment of substance, joule per tesla\n",
+"n = d*N/A*1e+006; // Number of atoms per unit volume of the substance, per metre cube\n",
+"M = n*m; // Spontaneous magnetisation of the substance, ampere per metre\n",
+"printf('\nThe spontaneous magnetisation of the substance = %4.2e ampere per metre', M);\n",
+"\n",
+"// Result\n",
+"// The spontaneous magnetisation of the substance = 1.73e+006 ampere per metre "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.2: Relative_permeability_of_ferromagnetic_material.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.2: Relative permeability of ferromagnetic material : Page-307 (2010)\n",
+"H = 200; // Field strength to which the ferromagnetic material is subjected, ampere per metre\n",
+"M = 3100; // Magnetisation of the ferromagnetic material, ampere per metre\n",
+"chi = M/H; // Magnetic susceptibility\n",
+"mu_r = 1 + chi; // Relative permeability of ferromagnetic material\n",
+"printf('\nThe relative permeability of ferromagnetic material = %4.1f', mu_r);\n",
+"\n",
+"// Result\n",
+"// The relative permeability of ferromagnetic material = 16.5 "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.3: Relative_permeability_from_magnetisation.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.3: Relative permeability from magnetisation : Page-307 (2010)\n",
+"H = 300; // Field strength to which the ferromagnetic material is subjected, ampere per metre\n",
+"M = 4400; // Magnetisation of the ferromagnetic material, ampere per metre\n",
+"chi = M/H; // Magnetic susceptibility\n",
+"mu_r = 1 + chi; // Relative permeability of ferromagnetic material\n",
+"printf('\nThe relative permeability of ferromagnetic material = %5.2f', mu_r);\n",
+"\n",
+"// Result\n",
+"// The relative permeability of ferromagnetic material = 15.67 "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.4: Magnetic_flux_density_and_magnetisation_of_diamagnetic_material.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.4: Magnetic flux density and magnetisation of diamagnetic material : Page-307 (2010)\n",
+"mu_0 = 4*%pi*1e-07; // Magnetic permeability of free space, tesla metre per ampere\n",
+"H = 10000; // Field strength to which the diamagnetic material is subjected, ampere per metre\n",
+"chi = -0.4e-005; // Magnetic susceptibility\n",
+"M = chi*H; // Magnetisation of the diamagnetic material, ampere per metre\n",
+"B = mu_0*(H + M); // Magnetic flux density of diamagnetic material, T\n",
+"printf('\nThe magnetisation of diamagnetic material = %4.2f ampere per metre', M);\n",
+"printf('\nThe magnetic flux density of diamagnetic material = %6.4f T', B);\n",
+"\n",
+"// Result\n",
+"// The magnetisation of diamagnetic material = -0.04 ampere per metre\n",
+"// The Magnetic flux density of diamagnetic material = 0.0126 T "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.5: EX14_5.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.5: Magnetisation-Magnetic flux density-relative permeability of diamagnetic material : Page-307 (2010)\n",
+"mu_0 = 4*%pi*1e-07; // Magnetic permeability of free space, tesla metre per ampere\n",
+"H = 1.2e+005; // Field strength to which the diamagnetic material is subjected, ampere per metre\n",
+"chi = -4.2e-006; // Magnetic susceptibility\n",
+"M = chi*H; // Magnetisation of the diamagnetic material, ampere per metre\n",
+"B = mu_0*(H + M); // Magnetic flux density of diamagnetic material, T\n",
+"mu_r = M/H + 1; // The relative permeability of diamagnetic material\n",
+"printf('\nThe magnetisation of diamagnetic material = %5.3f ampere per metre', M);\n",
+"printf('\nThe magnetic flux density of diamagnetic material = %5.3f T', B);\n",
+"printf('\nThe relative permeability of diamagnetic material = %f T', mu_r);\n",
+"// Result\n",
+"// The magnetisation of diamagnetic material = -0.504 ampere per metre\n",
+"// The magnetic flux density of diamagnetic material = 0.151 T \n",
+"// The relative permeability of diamagnetic material = 0.999996 T "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.6: Mean_radius_of_body_centered_cubic_structure.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.6: Mean radius of body centered cubic structure: Page-308 (2010)\n",
+"chi = 5.6e-006; // Magnetic susceptibility of diamagnetic material\n",
+"m = 9.1e-031; // Mass of an electron, kg\n",
+"mu_0 = 4*%pi*1e-07; // Magnetic permeability of free space, tesla metre per ampere\n",
+"Z = 1; /// Atomic number\n",
+"e = 1.6e-019; // Electronic charge, C\n",
+"a = 2.53e-010; // Lattice parameter of bcc structure, m\n",
+"N = 2/a^3; // The number of electrons per unit volume, per metre cube\n",
+"r = sqrt(chi*6*m/(mu_0*Z*e^2*N)); // Mean radius of body centered cubic structure as per Langevin relation for Diamagnetic susceptibility, m\n",
+"printf('\nThe mean radius of body centered cubic structure = %5.3e angstrom', r/1e-010);\n",
+"\n",
+"// Result\n",
+"// The mean radius of body centered cubic structure = 8.773e-001 angstrom"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 14.7: Susceptibility_and_magnetisation_of_paramagnetic_salt.sci"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex14.7: Susceptibility and magnetisation of paramagnetic salt: Page-308 (2010)\n",
+"mu_0 = 4*%pi*1e-07; // Magnetic permeability of free space, tesla metre per ampere\n",
+"N_A = 6.02e+026; // Avogadro's number, per kmol\n",
+"rho = 4370; // Density of paramegnetic salt, kg per metre cube\n",
+"M = 168.5; // Molecular weight of paramagnetic salt, g/mol\n",
+"T = 27+273; // Temperature of paramagnetic salt, K\n",
+"H = 2e+005; // Field strength to which the paramagnetic salt is subjected, ampere per metre\n",
+"mu_B = 9.27e-024; // Bohr's magneton, ampere metre square\n",
+"p = 2; // Number of Bohr magnetons per molecule\n",
+"k = 1.38e-023; // Boltzmann constant, J/K\n",
+"N = rho*N_A/M; // Total density of atoms in the paramagnetic salt, per metr cube\n",
+"chi = mu_0*N*p^2*mu_B^2/(3*k*T); // Magnetic susceptibility of paramagnetic salt\n",
+"M = chi*H; // Magnetisation of paramagnetic salt, ampere per metre\n",
+"printf('\nThe magnetic susceptibility of paramagnetic salt = %4.2e per metre', chi);\n",
+"printf('\nThe magnetisation of paramagnetic salt = %4.2e ampere per metre', M);\n",
+"\n",
+"// Result\n",
+"// The magnetic susceptibility of paramagnetic salt = 5.43e-004 per metre\n",
+"// The magnetisation of paramagnetic salt = 1.09e+002 ampere per metre"
+ ]
+ }
+],
+"metadata": {
+ "kernelspec": {
+ "display_name": "Scilab",
+ "language": "scilab",
+ "name": "scilab"
+ },
+ "language_info": {
+ "file_extension": ".sce",
+ "help_links": [
+ {
+ "text": "MetaKernel Magics",
+ "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+ }
+ ],
+ "mimetype": "text/x-octave",
+ "name": "scilab",
+ "version": "0.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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