{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 17 : Dielectirc Materials" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 17.1, Page No 414" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#initialisation of variables\n", "l= 10.0 # length of capacitor in mm\n", "b = 10.0 # width of capacitor in mm\n", "d = 2.0\t\t # distance of separation in mm\n", "c = 1e-9 \t# capacitance in farad\n", "epsilon_0 = 8.85e-12 # permittivity of free space\n", "\n", "#Calculations\n", "epsilon_r = c*d*1e-3/(epsilon_0*l*1e-3*b*1e-3)\n", "\n", "#Calculations\n", "print(\" Relative dielectric constant is %d\" %epsilon_r)\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Relative dielectric constant is 2259\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 17.2, Page No 421" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import math\n", "#initialisation of variables\n", "Ti_shift= 0.06 \t\t# shift of TI ion in angstrom\n", "O_shift = 0.06 \t\t# shift of oxygen ion of side face in angstrom\n", "o_shift = 0.08 \t\t#shift of oxygen ion of top and bottom faces in angstrom\n", "O_charge = 2.0 \t# unit charge on oxygen ion of side face\n", "o_charge = 2.0\t\t # unit charge on oxygen ion of top and bottom faces\n", "Ti_charge = 4.0\t # unit charge on titanium ion \n", "n_O = 2.0\t\t\t # number of oxygen ion of side face\n", "n_o = 1.0\t\t\t # number of oxygen ion of top and bottom face\n", "n_Ti = 1.0\t\t\t # number of titanium ion \n", "e = 1.6e-19 \t\t# amount of one unit charge in coulomb\n", "\n", "#Calculations\n", "p_Ti = n_Ti*Ti_charge *e*Ti_shift*1e-10\n", "p_O = n_O*O_charge*e*O_shift*1e-10\n", "p_o = n_o*o_charge*e*o_shift*1e-10\n", "Total = p_Ti+p_O+p_o\n", "P = Total/(4.03*3.98**2*1e-30)\n", "\n", "#Results\n", "print(\"Polarization of BaTiO3 crystal is %.2f Cm^-2 \" %P)\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Polarization of BaTiO3 crystal is 0.16 Cm^-2 \n" ] } ], "prompt_number": 2 } ], "metadata": {} } ] }