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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 2024-12-20 17:15:11 +0000