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-{
- "metadata": {
- "name": "",
- "signature": "sha256:9ccabd1c0a5d5861a1e63defe760a8b9caed49864d9aebb3ab3b0741ed755b61"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 7: Dielectric Properties"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.1, Page number 7.23"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "C = 2*10**-6 #Capacitance(F)\n",
- "V = 1000 #voltage(V)\n",
- "Er = 100 #permittivity\n",
- "\n",
- "#Calculations\n",
- "W = (C*V**2)/2\n",
- "\n",
- "Co = C/Er\n",
- "Wo = (Co*V**2)/2\n",
- "Wf = W-Wo\n",
- "\n",
- "#Result\n",
- "print \"Energy stored in condenser =\",W,\"J\"\n",
- "print \"Energy stored in polarizing the dilectric =\",Wf,\"J\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Energy stored in condenser = 1.0 J\n",
- "Energy stored in polarizing the dilectric = 0.99 J\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.2, Page number 7.24"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaraion\n",
- "Er = 4.94 #permittivity\n",
- "n2 = 2.69 #index of refraction\n",
- "\n",
- "#Calculations\n",
- "'''\n",
- "Er - 1 N(ae+ai)\n",
- "------ = ---------\n",
- "Er + 2 3*Eo \n",
- "Sunbstituting the values for Er, we get,\n",
- "N(ae+ai) \n",
- "-------- = 0.5677 ------------(1)\n",
- " 3*ao\n",
- "'''\n",
- "x = 0.5677\n",
- "\n",
- "'''\n",
- "Also, Er = n**2\n",
- "Therefore, n**2-1 N*ae\n",
- " ------- = -----\n",
- " n**2+2 3*Eo\n",
- "Substituting the values for n^2, we get,\n",
- "N*ae\n",
- "---- = 0.36034 ---------------(2)\n",
- "3*Eo\n",
- "'''\n",
- "y = 0.36034\n",
- "#Let z = ai/ae\n",
- "#Dividing equation (1) by (2), we get,\n",
- "\n",
- "z = (x/y)-1\n",
- "\n",
- "#Result\n",
- "print \"Ratio between electronic and ionic probabbility is\",round(z,3) ,\"or\",round((1/z),3)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Ratio between electronic and ionic probabbility is 0.575 or 1.738\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.3, Page number 7.25"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "import math\n",
- "\n",
- "#Variable declaration\n",
- "Er = 2.56 #permittivity\n",
- "f = 1*10**6 #frequency(Hz)\n",
- "A = 8*10**-4 #area(m^2)\n",
- "d= 0.08*10**-3 #distance of seperation(m)\n",
- "Eo = 8.85*10**-12\n",
- "\n",
- "#Calculations\n",
- "Er_dash = Er*0.7*10**-4\n",
- "w = 2*math.pi*f\n",
- "Rp = d/(w*Eo*Er_dash*A)\n",
- "\n",
- "Cp = (A*Eo*Er)/d\n",
- "\n",
- "#Results\n",
- "print \"Parallel loss resistance =\",round((Rp/1E+6),2),\"MOhms\"\n",
- "print \"Capacitance =\",Cp,\"F(Calculation mistake in textbook)\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Parallel loss resistance = 10.04 MOhms\n",
- "Capacitance = 2.2656e-10 F(Calculation mistake in textbook)\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.5, Page number 7.26"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Varaible declaration\n",
- "N = 3.*10**28 #density(atoms/m^3)\n",
- "ae = 10.**-40 #electronic polarizability(F m^2)\n",
- "Eo = 8.854*10**-12 #permittivity of free space(F/m)\n",
- "\n",
- "#Calculaion\n",
- "Er = 1+((N*ae)/Eo)\n",
- "\n",
- "#Result\n",
- "print \"dielectric constant =\",round(Er,3)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "dielectric constant = 1.339\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.5, Page number 7.26"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "Er = 1.0000684 #permittivity of dilectric\n",
- "Eo = 8.854*10**-12 #permittivity of free space(F/m)\n",
- "N = 2.7*10**25 #density(atoms/m^3)\n",
- "\n",
- "#Calculation\n",
- "ae = (Eo*(Er-1))/N\n",
- "\n",
- "#Result\n",
- "print \"Electronic polarizability =\",round((ae/1E-41),3),\"*10^-41 Fm^2\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Electronic polarizability = 2.243 *10^-41 Fm^2\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.6, Page number 7.27"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "A = 100*10**-4 #area of parallel capacitor(m^2)\n",
- "d = 1*10**-2 #separation between plates(m)\n",
- "Eo = 8.854*10**-12 #permittivity of free space(F/m)\n",
- "V = 100 #voltage(V)\n",
- "\n",
- "#Calculation\n",
- "C = (Eo*A)/d\n",
- "Q = C*V\n",
- "\n",
- "#Result\n",
- "print \"Capacitance =\",round((C/1E-12),2),\"pF\"\n",
- "print \"Charge =\",Q,\"C\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Capacitance = 8.85 pF\n",
- "Charge = 8.854e-10 C\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 7.7, Page number 7.28"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "#Variable declaration\n",
- "N = 6.02*10**26 #Avogadro's number\n",
- "den = 2050 #density(kg/m^3)\n",
- "Ma = 32 #atomic weight\n",
- "Eo = 8.55*10**-12 #permittivity of free space(F/m)\n",
- "v = 1/3 #internal field constant\n",
- "Er = 3.75 #dielectric constant of sulphur\n",
- "\n",
- "#Calculations\n",
- "n = (N*den)/Ma #no. of atoms per m^3\n",
- "ae = ((Er-1)/(Er+2))*((3*Eo)/n)\n",
- "\n",
- "#Result\n",
- "print \"Electronic polarizability =\",round((ae/1E-40),3),\"*10^-41 Fm^2\""
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Electronic polarizability = 3.181 *10^-41 Fm^2\n"
- ]
- }
- ],
- "prompt_number": 11
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file
generated by cgit (git 2.34.1) at 2025-04-03 13:50:01 +0000