diff options
Diffstat (limited to 'Solid_state_physics_by_P._K._Palanisamy/Chapter_7.ipynb')
| -rwxr-xr-x | Solid_state_physics_by_P._K._Palanisamy/Chapter_7.ipynb | 330 |
1 files changed, 330 insertions, 0 deletions
diff --git a/Solid_state_physics_by_P._K._Palanisamy/Chapter_7.ipynb b/Solid_state_physics_by_P._K._Palanisamy/Chapter_7.ipynb new file mode 100755 index 00000000..c3599dfb --- /dev/null +++ b/Solid_state_physics_by_P._K._Palanisamy/Chapter_7.ipynb @@ -0,0 +1,330 @@ +{ + "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 |