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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 7: Dielectric Properties"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.1: Net_energy_stored_in_capacitor.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.1: Page-7.23 (2004)\n",
+"clc;clear;\n",
+"C = 2e-6; // Capacitance, farad\n",
+"V = 1000; // Applied Voltage, volt\n",
+"W = C*V^2/2; // Energy stored in capacitor, joule\n",
+"er = 100; //Electric permittivity\n",
+"Co = C/er; // New Capacitance without dielectric, farad\n",
+"Wo = Co*V^2/2; // New Energy without dielectric, farad\n",
+"Wt = W-Wo; // Net energy stored in capacitor, joules\n",
+"printf('\nNet energy stored in capacitor = %3.2f joules', Wt);\n",
+"\n",
+"// Result\n",
+"// Net energy stored in capacitor = 0.99 joules "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.2: Ratio_of_polarizatio.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.2: Page-7.24 (2004)\n",
+"clc;clear;\n",
+"er = 4.94; //Electric permittivity\n",
+"n = sqrt(2.69); // Index of refration, unitless\n",
+"a = (n^2-1)/(n^2+2); // Variable 1\n",
+"b = (er-1)/(er+2); // Variable 2 \n",
+"alpha = (b/a)-1; // Ratio between ionic and electrical polarization\n",
+"alp = 1/alpha; //Ratio between electrical and ionic polarization\n",
+"\n",
+"printf('\nRatio between ionic and electrical polarization = %3.3f ', alpha);\n",
+"printf('\nRatio between electrical and ionic polarization = %3.3f ', alp);\n",
+"\n",
+"// Result\n",
+"// Ratio between ionic and electrical polarization = 0.576 \n",
+"// Ratio between electrical and ionic polarization = 1.738 "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.3: Parallel_loss_resistance_and_capacitance.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.3: Page-7.25 (2004)\n",
+"clear;clc;\n",
+"er = 2.56; // Relative permittivity\n",
+"tan_deta = 0.7e-4; // Loss tangent\n",
+"f = 1e+6; // frequency, Hz\n",
+"er2 = er*tan_deta; // Imaginary part of relative permittivity\n",
+"A = 8e-4; // Area between plates, squaremetre\n",
+"eo = 8.854e-12; //Permittivity of the free space, farad per metre\n",
+"w = 2*%pi*f; // angular frequency, Hz\n",
+"d = 0.08e-3; // Distance between plates, m\n",
+"Rp = d/(w*eo*er2*A); // Parallel loss resistance, ohm\n",
+"Cp = A*eo*er/d; // Capacitance , farad\n",
+"\n",
+"printf('\nParallel loss resistance = %3.3e ohm', Rp);\n",
+"printf('\nCapacitance = %3.3e farad', Cp);\n",
+"\n",
+"// Result\n",
+"//Parallel loss resistance = 1.003e+07 ohm\n",
+"//Capacitance = 2.267e-10 farad "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.4: Dielectric_constant_of_the_material.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.4: Page-7.26 (2004)\n",
+"clc;clear;\n",
+"N = 3e+28; // Number density, atoms per metrecube\n",
+"eo = 8.854e-12; //Permittivity of the free space, farad per metre\n",
+"alpha = 10e-40; // Electrical polarization, farad metresquare\n",
+"er = 1+(N*alpha/eo); // Dielectric constant of the material\n",
+"printf('\nDielectric constant of the material = %3.3f ', er);\n",
+"\n",
+"\n",
+"// Result\n",
+"// Dielectric constant of the material = 4.388 "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.5: Electric_polarizability_of_He_atoms.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.5: Page-7.26 (2004)\n",
+"clc;clear;\n",
+"N = 2.7e+25; // Number density, atoms per metrecube\n",
+"eo = 8.854e-12; //Permittivity of the free space, farad per metre\n",
+"er = 1.0000684; // Dielectric constant of the material\n",
+"alpha = eo*(er-1)/N; // Electrical polarization, farad metresquare\n",
+"\n",
+"printf('\nElectrical polarization = %3.3e farad metresquare', alpha);\n",
+"\n",
+"// Result\n",
+"// Electrical polarization = 2.243e-41 farad metresquare"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.6: Capacitance_and_charge_on_the_plates.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.6: Page-7.27 (2004)\n",
+"clc;clear;\n",
+"A = 100e-4; // Area of parallel plates, squaremetre\n",
+"d = 1e-2; // Distance between plates, metre\n",
+"eo = 8.854e-12; // Permittivity of the free space, farad per metre\n",
+"V = 100; // Potential, volt\n",
+"C = eo*A/d; // Capacitance, farad\n",
+"Q = C*V; // Charge on the plates of capacitor, C\n",
+"printf('\nCapacitance = %5.3e F ', C);\n",
+"printf('\nCharge on the plates of capacitor = %3.3e C', Q);\n",
+"\n",
+"// Result\n",
+"// Capacitance = 8.854e-12 F\n",
+"// Charge on the plates of capacitor = 8.854e-10 C "
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 7.7: Electric_polarizability_of_sulphur_atoms.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"// Scilab Code Ex7.7: Page-7.28 (2004)\n",
+"clc;clear;\n",
+"N = 385.66e+26; // Number density, atoms per metrecube\n",
+"eo = 8.854e-12; //Permittivity of the free space, farad per metre\n",
+"er = 3.75; // Dielectric constant of the material\n",
+"alpha = 3*eo*(er-1)/(N*(er+2)); // Electric polarizability of sulphur atoms\n",
+"printf('\nElectric polarizability of sulphur atoms = %3.3e farad metresquare', alpha);\n",
+"\n",
+"// Result\n",
+"// Electric polarizability of sulphur atoms = 3.294e-40 farad metresquare "
+ ]
+ }
+],
+"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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