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diff --git a/Engineering_Physics_By_G_Vijayakumari/Chapter13.ipynb b/Engineering_Physics_By_G_Vijayakumari/Chapter13.ipynb new file mode 100755 index 00000000..afb202a5 --- /dev/null +++ b/Engineering_Physics_By_G_Vijayakumari/Chapter13.ipynb @@ -0,0 +1,243 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#13: Dielectrics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 13.1, Page number 356"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The electron polarisation is 3.945 *10**-7 C/m^2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "a=3.61*10**-10; #lattice constant of copper which is Fcc crystal(m)\n",
+ "x=1*10**-18; #average displacement of the electrons relative to the nucleus(m)\n",
+ "z=29; #atomic number of copper\n",
+ "n=4; #number of atoms per unit cell in FCC crystal\n",
+ "e=1.6*10**-19; #charge of electron(c)\n",
+ "\n",
+ "#Calculation\n",
+ "ne=((n*z)/(a*a*a)); #number of electrons(electrons/m^3) \n",
+ "P=ne*e*x; #The electron polarisation(C/m^2)\n",
+ "\n",
+ "#Result\n",
+ "print \"The electron polarisation is\",round(P*10**7,3),\"*10**-7 C/m^2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 13.2, Page number 356"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The dipole moment of each atom in a field is 1.9646 *10**-35 C m**-3\n",
+ "The effective distance at this field strength between the centre and the nucleus is 8.77 *10**-18 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "rp=11.7; #relative permittivity of silicon\n",
+ "N=4.82*10**28; #number of atoms per unit volume(atoms/m^3)\n",
+ "ro=8.85*10**-12; #permittivity of free space\n",
+ "E=10**4; #E(Vm^-1)\n",
+ "e=1.6*10**-19; #charge of electron(c)\n",
+ "Z=14; #atomic number of silicon \n",
+ "\n",
+ "#Calculation\n",
+ "z=(ro*(rp-1))/N #electronic polarisability(Fm^2)\n",
+ "mew=z*E; #The dipole moment of each atom(Cm^-3)\n",
+ "x=y/(Z*e); #The effective distance at this field strength between the centre and the nucleus(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"The dipole moment of each atom in a field is\",round(y*10**35,4),\"*10**-35 C m**-3\"\n",
+ "print \"The effective distance at this field strength between the centre and the nucleus is\",round(x*10**18,2),\"*10**-18 m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 13.3, Page number 357"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The electronic polarisability is 1.39 *10**-41 Fm**2\n",
+ "The relative permittivity in hydrogen gas is 1.0015\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=9.8*10**26; #density of hydrogen gas(atoms/m^3)\n",
+ "r=0.50*10**-10; #radius of the hydrogen atom(m)\n",
+ "ro=8.85*10**-12; #permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "z=(4*math.pi*ro*r**3)/10**-41; #electronic polarisability(Fm^2)\n",
+ "rp=(((d*z*10**-41)/ro)+1); #The relative permittivity in hydrogen gas\n",
+ "\n",
+ "#Result\n",
+ "print \"The electronic polarisability is\",round(z,2),\"*10**-41 Fm**2\"\n",
+ "print \"The relative permittivity in hydrogen gas is\",round(rp,4)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 13.4, Page number 357"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The static dielectric constant of solid argon is 1.53679\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "z=1.75*10**-40; #electronic polarisability(Fm^2)\n",
+ "d=1.8*10**3; #density of argon atom(Kg/m^3)\n",
+ "Z=39.95; #atomic weight of argon\n",
+ "NA=6.025*10**26; #Avagadro number(mole^-1)\n",
+ "ro=8.85*10**-12; #permittivity of free space\n",
+ "\n",
+ "#Calculation\n",
+ "N=((NA*d)/Z); #The number of atoms/unit volume(atoms/m^3) \n",
+ "rp=(((N*z)/ro)+1); #The static dielectric constant of solid argon\n",
+ "\n",
+ "#Result\n",
+ "print \"The static dielectric constant of solid argon is\",round(rp,5)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 13.5, Page number 366"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Ratio between electronic and ionic polarisability of this material is 1.7376\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "er=4.94; #static dielecric constant of a material\n",
+ "n=2.69; #index of friction\n",
+ "\n",
+ "#Calculation\n",
+ "x=((er-1)*(n+2))/((er+2)*(n-1))-1; #Ratio between ionic and electronic polarisability of this material\n",
+ "y=1/x; #Ratio between electronic and ionic polarisability of this material\n",
+ "\n",
+ "#Result\n",
+ "print \"Ratio between electronic and ionic polarisability of this material is\",round(y,4)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 2",
+ "language": "python",
+ "name": "python2"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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