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+{
+"cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 23: Dielectrics"
+ ]
+ },
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.1: calculation_of_relative_permittivity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.1\n",
+"//calculation of relative permittivity\n",
+"\n",
+"//given values\n",
+"\n",
+"E=1000;//electric field in V/m\n",
+"P=4.3*10^-8;//polarization in C/m^2\n",
+"e=8.85*10^-12;//permittivity in F/m\n",
+"\n",
+"\n",
+"//calculation\n",
+"er=1+(P/(e*E));\n",
+"disp(er,'relative permittivity of NaCl is ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.2: calculation_of_electronic_polarizability.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.2\n",
+"//calculation of electronic polarizability\n",
+"\n",
+"//given values\n",
+"\n",
+"e=8.85*10^-12;//permittivity in F/m\n",
+"er=1.0024;//relative permittivity at NTP\n",
+"N=2.7*10^25;//atoms per m^3\n",
+"\n",
+"\n",
+"//calculation\n",
+"alpha=e*(er-1)/N;\n",
+"disp(alpha,'electronic polarizability (in F/m^2)is ');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.3: calculation_of_electronic_polarizability_and_relative_permittivity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.3\n",
+"//calculation of electronic polarizability and relative permittivity\n",
+"\n",
+"//given values\n",
+"\n",
+"e=8.85*10^-12;//permittivity in F/m\n",
+"N=9.8*10^26;//atoms per m^3\n",
+"r=.53*10^-10;//radius in m\n",
+"\n",
+"\n",
+"//calculation\n",
+"alpha=4*%pi*e*r^3;\n",
+"disp(alpha,'electronic polarizability (in F/m^2)is ');\n",
+"er=1+(4*%pi*N*r^3);\n",
+"disp(er,'relative permittivity is')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.4: calculation_of_electronic_polarizability_and_relative_permittivity.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.4\n",
+"//calculation of electronic polarizability and relative permittivity\n",
+"\n",
+"//given values\n",
+"w=32;//atomic weight of sulphur \n",
+"d=2.08*10^3;//density in kg/m^3\n",
+"NA=6.02*10^26;//avogadros number\n",
+"alpha=3.28*10^-40;//electronic polarizability in F.m^2\n",
+"e=8.854*10^-12;//permittiviy\n",
+"//calculation\n",
+"\n",
+"n=NA*d/w;\n",
+"k=n*alpha/(3*e);\n",
+"er=(1+2*k)/(1-k);\n",
+"disp(er,'relative permittivity is')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.5: calculation_of_ionic_polarizability.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.5\n",
+"//calculation of ionic polarizability\n",
+"\n",
+"//given values\n",
+"n=1.5;//refractive index\n",
+"er=6.75;//relative permittivity\n",
+"\n",
+"//calculation\n",
+"Pi=(er-n^2)*100/(er-1);\n",
+"disp(Pi,'percentage ionic polarizability (in %)) is')"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.6: calculation_of_frequency_and_phase_difference.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.6\n",
+"//calculation of frequency and phase difference\n",
+"\n",
+"//given values\n",
+"t=18*10^-6;//relaxation time in s\n",
+"\n",
+"//calculation\n",
+"f=1/(2*%pi*t);\n",
+"disp(f,'frequency at which real and imaginary part of complx dielectric constant are equal is');\n",
+"alpha=atan(1)*180/%pi;// phase difference between current and voltage( 1 because real and imaginry parts are equal of the dielectric constant)\n",
+"disp(alpha,'phase diffeerence (in degree) is');"
+ ]
+ }
+,
+{
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 23.7: calculation_of_frequency.sce"
+ ]
+ },
+ {
+"cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+"source": [
+"clc;clear;\n",
+"//Example 23.7\n",
+"//calculation of frequency\n",
+"\n",
+"//given values\n",
+"t=5.5*10^-3;//thickness of plate in m\n",
+"Y=8*10^10;//Young's modulus in N/m^2\n",
+"d=2.65*10^3;//density in kg/m^3\n",
+"\n",
+"\n",
+"\n",
+"//calculation\n",
+"f=sqrt(Y/d)/(2*t);//in Hz\n",
+"disp(f/10^3,'frequency of fundamental note(in KHz) is');"
+ ]
+ }
+],
+"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
+}