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{
"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": {}
}
]
}
|
