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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:4021239986e9b103686ab01f7ccbdc5317b1bf2aa2e09bf052e63053a477f649"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter23-Dielectrics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex1-pg679"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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",
+ "print'%s %.2f %s'%('relative permittivity of NaCl is ',er,'');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "relative permittivity of NaCl is 5.86 \n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex2-pg675"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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",
+ "print'%s %.3e %s'%('electronic polarizability (in F/m^2)is ',alpha,'');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "electronic polarizability (in F/m^2)is 7.867e-40 \n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex3-pg678"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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*math.pi*e*r**3;\n",
+ "print'%s %.3e %s'%('electronic polarizability (in F/m**2)is ',alpha,'');\n",
+ "er=1+(4*math.pi*N*r**3);\n",
+ "print'%s %.2f %s'%('relative permittivity is',er,'')\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "electronic polarizability (in F/m**2)is 1.656e-41 \n",
+ "relative permittivity is 1.00 \n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex4-pg681"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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",
+ "print'%s %.2f %s'%('relative permittivity is',er,'')"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "relative permittivity is 3.80 \n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex5-pg682"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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",
+ "print'%s %.2f %s'%('percentage ionic polarizability (in %)) is',Pi,'')"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "percentage ionic polarizability (in %)) is 78.26 \n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex6-pg685"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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*math.pi*t);\n",
+ "print'%s %.2f %s'%('frequency at which real and imaginary part of complx dielectric constant are equal is',f,'');\n",
+ "alpha=math.atan(1)*180/math.pi;## phase difference between current and voltage( 1 because real and imaginry parts are equal of the dielectric constant)\n",
+ "print'%s %.2f %s'%('phase diffeerence (in degree) is',alpha,'');"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "frequency at which real and imaginary part of complx dielectric constant are equal is 8841.94 \n",
+ "phase diffeerence (in degree) is 45.00 "
+ ]
+ },
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Ex7-pg692"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\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=math.sqrt(Y/d)/(2.*t);##in Hz\n",
+ "print'%s %.2f %s'%('frequency of fundamental note(in KHz) is',f/10**3,'');\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "frequency of fundamental note(in KHz) is 499.49 \n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file