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author | hardythe1 | 2014-08-06 16:41:00 +0530 |
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committer | hardythe1 | 2014-08-06 16:41:00 +0530 |
commit | 34887da4e2731004f7cf208ae59b72f2e27b33cf (patch) | |
tree | 2307457b57ed3ee1049504cf4440d9f06e08c017 /Engineering_Physics_by_K._Rajagopal/Chapter_14.ipynb | |
parent | 7876eeaf85f7c020ec1f3530963928cd2bc26a66 (diff) | |
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diff --git a/Engineering_Physics_by_K._Rajagopal/Chapter_14.ipynb b/Engineering_Physics_by_K._Rajagopal/Chapter_14.ipynb new file mode 100755 index 00000000..71fc887c --- /dev/null +++ b/Engineering_Physics_by_K._Rajagopal/Chapter_14.ipynb @@ -0,0 +1,262 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 14: Dielectrics" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.1, Page 475" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "#Variable declaration\n", + "er=1.0000684;#dielectric constant of helium \n", + "N=2.7*1e25;#atoms/m^3\n", + "\n", + "#Calculations\n", + "r=(er-1)/(4*pi*N);\n", + "R=r**(1./3); #radius of electron cloud\n", + "\n", + "#Result\n", + "print 'radius of electron cloud is %.1f*10^-10 m'%(R/1e-10)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "radius of electron cloud is 0.6*10^-10 m\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.2, Page 475" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "k=1.38*1e-23;#boltzmann constant\n", + "N=1e27;#HCL molecule per cubic meter\n", + "E=1e6;#electric field of vapour\n", + "D=3.33*1e-30;\n", + "\n", + "#Calculations\n", + "pHCL=1.04*D;\n", + "T=300;#tempreture in kelvin\n", + "alpha=(pHCL)**2/(3*k*T);\n", + "p0=N*alpha*E;#orientation polarization\n", + "\n", + "#Result\n", + "print 'orientation polarization is %.3f*10^-6 C/m^2'%(p0/1e-6)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "orientation polarization is 0.966*10^-6 C/m^2\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.3, Page 476" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "alpha=0.35*1e-40;#polarizability of gas\n", + "N=2.7*1e25;\n", + "e0=8.854*1e-12;#permittivity of vacume\n", + "\n", + "#Calculation\n", + "er=1+(N*alpha/e0);#relative permittivity\n", + "\n", + "#Result\n", + "print 'relative permittivity is %.6f'%er\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "relative permittivity is 1.000107\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.4, Page 480" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "er=12.;#relative permittivity\n", + "N=5*1e28;#atoms/m^3\n", + "e0=8.854*1e-12;#permittivity of vacume\n", + "\n", + "#Calculations\n", + "x=(er-1)/(er+2);\n", + "alpha=(3*e0/N)*x;#electrical polarizability\n", + "\n", + "#Result\n", + "print 'electronic polarizability = %.2f*10^-40 F*m^2'%(alpha/1e-40)\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "electronic polarizability = 4.17*10^-40 F*m^2\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.5, Page 483" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import atan,degrees\n", + "\n", + "#Variable declaration\n", + "C=2.4*1e-12;#given capacitance in F\n", + "e0=8.854*1e-12;#permittivity of vacume\n", + "a=4*1e-4;#area in m^2\n", + "d=0.5*1e-2;#thickness\n", + "tandelta=0.02;\n", + "\n", + "#Calculations&Results\n", + "er=(C*d)/(e0*a);#relative permittivity\n", + "print 'relative permittivity = %.2f'%er\n", + "lf=er*tandelta;#loss factor\n", + "print 'electric loss factor = %.4f'%lf\n", + "delta=degrees(atan(tandelta))\n", + "PA=90-delta;#phase angle\n", + "print 'phase angle = %.2f degrees'%PA\n", + "#incorrect answers in the textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "relative permittivity = 3.39\n", + "electric loss factor = 0.0678\n", + "phase angle = 88.85 degrees\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 14.6, Page 483" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Variable declaration\n", + "er=8.;#relative permittivity\n", + "a=0.036;#area in m^2\n", + "e0=8.854*1e-12;#permittivity of vacume\n", + "C=6*1e-6;#capacitance in F\n", + "V=15.0;#potential difference\n", + "\n", + "#Calculations\n", + "d=(e0*er*a)/C;\n", + "E=V/d;#field strength\n", + "\n", + "#Results\n", + "print 'field strength is= %.3f*10^7 V/m'%(E/1e+7)\n", + "dpm=e0*(er-1)*E;#dipole moment/unit volume\n", + "print 'dipole moment/unit volume= %.4f*10^-2 C/m^2'%(dpm/1e-2)\n", + "#Incorrect answers in the textbook\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "field strength is= 3.529*10^7 V/m\n", + "dipole moment/unit volume= 0.2187*10^-2 C/m^2\n" + ] + } + ], + "prompt_number": 6 + } + ], + "metadata": {} + } + ] +}
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