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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:59e0fed0245970f183161b17c490835692a2ba1742a8550242f21d13537b7e5e"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "3: Dielectrics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 3.1, Page number 68"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "k=78; #dielectric constant of water\n",
+ "epsilon0=8.9*10**-12; #dielectric permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "epsilon=k*epsilon0; #dielectric permittivity(C**2/Nm2)\n",
+ "chi=epsilon-epsilon0; #dielectric susceptibility(C**2/Nm2)\n",
+ "\n",
+ "#Result\n",
+ "print \"dielectric permittivity is\",epsilon,\"C**2/Nm2\"\n",
+ "print \"dielectric susceptibility is\",chi,\"C**2/Nm2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "dielectric permittivity is 6.942e-10 C**2/Nm2\n",
+ "dielectric susceptibility is 6.853e-10 C**2/Nm2\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 3.2, Page number 68"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon=15*10**-12; #dielectric permittivity(C**2/Nm2)\n",
+ "A=1; #area of plates(m**2)\n",
+ "q=60*10**-6; #charge(C)\n",
+ "epsilon0=8.9*10**-12; #dielectric permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "sigma=q/A; #surface charge density(C/m**2)\n",
+ "chi=epsilon-epsilon0; #dielectric susceptibility(C**2/Nm2)\n",
+ "E=sigma/epsilon; #electric field intensity(N/C)\n",
+ "P=chi*E; #polarization(C/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"electric field intensity is\",E/10**6,\"*10**6 N/C\"\n",
+ "print \"polarization is\",P*10**6,\"*10**-6 C/m**2\"\n",
+ "print \"susceptibility is\",chi,\"C**2/Nm2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "electric field intensity is 4.0 *10**6 N/C\n",
+ "polarization is 24.4 *10**-6 C/m**2\n",
+ "susceptibility is 6.1e-12 C**2/Nm2\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 3.3, Page number 69"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "k=5.4; #dielectric constant\n",
+ "E=10**6; #electric field intensity(N/C)\n",
+ "epsilon0=8.9*10**-12; #dielectric permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "D=k*epsilon0*E; #electric displacement(C/m**2)\n",
+ "Ed=(1/2)*k*epsilon0*(E**2); #energy density in dielectric(J/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"electric displacement is\",D,\"C/m**2\"\n",
+ "print \"answer given in the book is wrong\"\n",
+ "print \"energy density in dielectric is\",Ed,\"J/m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "electric displacement is 4.806e-05 C/m**2\n",
+ "answer given in the book is wrong\n",
+ "energy density in dielectric is 24.03 J/m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 3.4, Page number 69"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "chi=35.4*10**-12; #susceptibility(C**2/Nm2)\n",
+ "epsilon0=8.85*10**-12; #dielectric permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "k=1+(chi/epsilon0); #dielectric constant\n",
+ "epsilon=epsilon0*k; #permittivity(C/Nm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"dielectric constant is\",k\n",
+ "print \"permittivity is\",epsilon,\"C/Nm**2\"\n",
+ "print \"answer given in the book is wrong\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "dielectric constant is 5.0\n",
+ "permittivity is 4.425e-11 C/Nm**2\n",
+ "answer given in the book is wrong\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file