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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 9: Dielectrics"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.1, Page 9.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given \n",
+ "E = 10**6 # electric field inside the plates in V/m\n",
+ "d = 0.02 # distance between the plates in meter\n",
+ "k = 3 # dielectric constant of slab\n",
+ "e_ = 8.85e-12 # electric permittivity of air in C^2/Nm^2\n",
+ "\n",
+ "#Calculations\n",
+ "D = e_*k*E\n",
+ "P = D-e_*E\n",
+ "\n",
+ "#Result\n",
+ "print \"Polarization vector is %.2e C/m^2 \\nDisplacement vector is %.3e C/m^2\"%(P,D)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Polarization vector is 1.77e-05 C/m^2 \n",
+ "Displacement vector is 2.655e-05 C/m^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.2, Page 9.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ " \n",
+ "# Given \n",
+ "E1 = 3*10**5 # electric intensity when space between plates evacuated in V/m\n",
+ "E2 = 1*10**5 # electric intensity when space between plates is filled with dielectric in V/m\n",
+ "e_ = 8.85e-12 # electric permittivity of air in C^2/Nm^2\n",
+ "\n",
+ "#calculation\n",
+ "sigma = e_*(E1 - E2)\n",
+ "\n",
+ "#result\n",
+ "print \"The included charge density on the surface of the dielectric is %.2e C/m^2\"%sigma"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The included charge density on the surface of the dielectric is 1.77e-06 C/m^2\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.3, Page 9.11"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given \n",
+ "E = 1*10**5 # electric field strength inside the plates in V/m\n",
+ "d = 6. # distance between the plates in mm\n",
+ "k = 2.8 # dielectric constant of slab\n",
+ "e_ = 8.85e-12 # electric permittivity of air in C^2/Nm^2\n",
+ "\n",
+ "#Calculations\n",
+ "P = e_*(k-1)*E\n",
+ "D = e_*k*E\n",
+ "energy_density = 1./2 * k*e_*E**2\n",
+ "\n",
+ "#Result\n",
+ "print \"Polarization vector is %.1e C/m^2 \\nDisplacement vector is %.1eC/m^2 \\nEnergy density is %.3f J/m^3\"%(P,D,energy_density )"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Polarization vector is 1.6e-06 C/m^2 \n",
+ "Displacement vector is 2.5e-06C/m^2 \n",
+ "Energy density is 0.124 J/m^3\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.4, Page 9.12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given \n",
+ "D = 5e-4 # electric displacement vector in C/m^2\n",
+ "P = 4e-4 # electric polarization vector in C/m^2\n",
+ "v = 0.5 # volume of the slab in m^3\n",
+ "e_ = 8.85e-12 # electric permittivity of air in C^2/Nm^2\n",
+ "\n",
+ "#Calculations\n",
+ "E= (D-P)/ e_\n",
+ "k = D/(e_*E)\n",
+ "p = P*v\n",
+ "energy_density = 1./2 * k*e_*E**2\n",
+ "\n",
+ "#Result\n",
+ "print \"Value of relative permittivity is %d \\nTotal dipole moment of the slab is %.e C-m\"%(k,p) "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of relative permittivity is 5 \n",
+ "Total dipole moment of the slab is 2e-04 C-m\n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.5, Page .12"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given that\n",
+ "E = 3e4 # external field in V/m\n",
+ "k = 1.00074 # dielectric constant of gas at N.T.P.\n",
+ "e_ = 8.85e-12 # electric permittivity of air in C^2/Nm^2\n",
+ "\n",
+ "#Calculations\n",
+ "x = k-1\n",
+ "P = x*e_*E\n",
+ "N = 6.023e23/22.4e-3\n",
+ "p = P/N\n",
+ "\n",
+ "#Result\n",
+ "print \"Induce dipole moment of each is %.2e C-m\"%p"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Induce dipole moment of each is 7.31e-36 C-m\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 9.6, Page .13"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given \n",
+ "E = 3e4 # external field in V/m\n",
+ "k = 1.000041 # dielectric constant of gas at 0 degree centigrate\n",
+ "\n",
+ "#calculation\n",
+ "x = k-1\n",
+ "\n",
+ "#Result\n",
+ "print \"Electric susceptibility at 0 degree centigrate is %.1e\"%x"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Electric susceptibility at 0 degree centigrate is 4.1e-05\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-22 12:50:49 +0000