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diff --git a/Engineering_Physics_by_S._Mani_Naidu/Chapter6_1.ipynb b/Engineering_Physics_by_S._Mani_Naidu/Chapter6_1.ipynb new file mode 100644 index 00000000..2fa5c11e --- /dev/null +++ b/Engineering_Physics_by_S._Mani_Naidu/Chapter6_1.ipynb @@ -0,0 +1,541 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#6: Dielectric properties"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.1, Page number 6.23"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "dielectric constant of material is 1.339\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "N=3*10**28; #number of atoms(per m**3)\n",
+ "alpha_e=10**-40; #electronic polarizability(F m**2)\n",
+ "epsilon0=8.85*10**-12; \n",
+ "\n",
+ "#Calculation\n",
+ "epsilonr=(alpha_e*N/epsilon0)+1; #dielectric constant of material\n",
+ "\n",
+ "#Result\n",
+ "print \"dielectric constant of material is\",round(epsilonr,3)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.2, Page number 6.24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "capacitance is 8.85e-12 F\n",
+ "charge on plates is 8.85e-10 C\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "A=100*10**-4; #area(m**2)\n",
+ "d=1*10**-2; #seperation(m)\n",
+ "V=100; #potential(V)\n",
+ "\n",
+ "#Calculation\n",
+ "C=epsilon0*A/d; #capacitance(F)\n",
+ "Q=C*V; #charge on plates(C)\n",
+ "\n",
+ "#Result\n",
+ "print \"capacitance is\",C,\"F\"\n",
+ "print \"charge on plates is\",Q,\"C\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.3, Page number 6.24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "electronic polarizability is 2.242e-41 F m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "epsilonr=1.0000684; #dielectric constant of material\n",
+ "N=2.7*10**25; #number of atoms(per m**3)\n",
+ "\n",
+ "#Calculation\n",
+ "alpha_e=epsilon0*(epsilonr-1)/N; #electronic polarizability(F m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"electronic polarizability is\",alpha_e,\"F m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.4, Page number 6.24"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "voltage is 39.73 V\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "A=650*10**-6; #area(m**2)\n",
+ "d=4*10**-3; #seperation(m)\n",
+ "Q=2*10**-10; #charge(C)\n",
+ "epsilonr=3.5;\n",
+ "\n",
+ "#Calculation\n",
+ "V=Q*d/(epsilon0*epsilonr*A); #voltage(V)\n",
+ "\n",
+ "#Result\n",
+ "print \"voltage is\",round(V,2),\"V\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.5, Page number 6.25"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "polarization is 212.4 *10**-9 C m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "A=6.45*10**-4; #area(m**2)\n",
+ "d=2*10**-3; #seperation(m)\n",
+ "V=12; #voltage(V)\n",
+ "epsilonr=5;\n",
+ "\n",
+ "#Calculation\n",
+ "P=epsilon0*(epsilonr-1)*V/d; #polarization(C m)\n",
+ "\n",
+ "#Result\n",
+ "print \"polarization is\",P*10**9,\"*10**-9 C m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.6, Page number 6.25"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "electronic polarizability is 3.29 *10**-40 F m**2\n",
+ "answer varies due to rounding off errors\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "epsilonr=3.75; #dielectric constant\n",
+ "gama=1/3; #internal field constant\n",
+ "D=2050; #density(kg/m**3)\n",
+ "Na=6.02*10**26; #avagadro number\n",
+ "M=32; #atomic weight\n",
+ "\n",
+ "#Calculation\n",
+ "N=Na*D/M; #number of atoms(per m**3)\n",
+ "alphae=((epsilonr-1)/(epsilonr+2))*3*epsilon0/N; #electronic polarizability(F m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"electronic polarizability is\",round(alphae*10**40,2),\"*10**-40 F m**2\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.7, Page number 6.26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "orientational polarization is 1.0298 *10**-11 C m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "N=1.6*10**20; #number of molecules(/m**3)\n",
+ "T=300; #temperature(K)\n",
+ "E=5*10**5; #electric field(V/m)\n",
+ "x=0.25*10**-9; #separation(m)\n",
+ "Kb=1.381*10**-23; #boltzmann constant\n",
+ "e=1.6*10**-19; \n",
+ "\n",
+ "#Calculation\n",
+ "Pd=N*e**2*x**2*E/(3*Kb*T); #orientational polarization\n",
+ "\n",
+ "#Result\n",
+ "print \"orientational polarization is\",round(Pd*10**11,4),\"*10**-11 C m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.8, Page number 6.26"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "radius is 5.864 *10**-11 m\n",
+ "answer varies due to rounding off errors\n",
+ "displacement is 0.7 *10**-16 m\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "epsilonr=1.0000684; #dielectric constant of material\n",
+ "N=2.7*10**25; #number of atoms(per m**3)\n",
+ "E=10**6; #electric field(V/m)\n",
+ "e=1.6*10**-19; \n",
+ "Z=2; #atomic number\n",
+ "\n",
+ "#Calculation\n",
+ "alpha_e=epsilon0*(epsilonr-1)/N; #electronic polarizability(F m**2)\n",
+ "r=(alpha_e/(4*math.pi*epsilon0))**(1/3); #radius(m)\n",
+ "d=alpha_e*E/(Z*e); #displacement(m)\n",
+ "\n",
+ "#Result\n",
+ "print \"radius is\",round(r*10**11,3),\"*10**-11 m\"\n",
+ "print \"answer varies due to rounding off errors\"\n",
+ "print \"displacement is\",round(d*10**16,1),\"*10**-16 m\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.9, Page number 6.27"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 54,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "voltage is 53.8 V\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "A=750*10**-6; #area(m**2)\n",
+ "d=5*10**-3; #seperation(m)\n",
+ "Q=2.5*10**-10; #charge(C)\n",
+ "epsilonr=3.5;\n",
+ "\n",
+ "#Calculation\n",
+ "V=Q*d/(epsilon0*epsilonr*A); #voltage(V)\n",
+ "\n",
+ "#Result\n",
+ "print \"voltage is\",round(V,1),\"V\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.10, Page number 6.27"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 55,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "dipole moment is 8.9 *10**-40 F m**2\n",
+ "polarization is 26.7 *10**-15 C m\n",
+ "dielectric constant is 1.00302\n",
+ "polarizability is 8.9 *10**-40 F m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "N=3*10**25; #number of atoms(per m**3)\n",
+ "r=0.2*10**-9; #radius(m)\n",
+ "epsilon0=8.85*10**-12;\n",
+ "E=1; #electric field\n",
+ "\n",
+ "#Calculation\n",
+ "p=4*math.pi*epsilon0*r**3; #dipole moment(F m**2)\n",
+ "P=N*p; #polarization(C m)\n",
+ "epsilonr=(P/(epsilon0*E))+1; #dielectric constant\n",
+ "alpha_e=epsilon0*(epsilonr-1)/N; #polarizability(F m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"dipole moment is\",round(p*10**40,1),\"*10**-40 F m**2\"\n",
+ "print \"polarization is\",round(P*10**15,1),\"*10**-15 C m\"\n",
+ "print \"dielectric constant is\",round(epsilonr,5)\n",
+ "print \"polarizability is\",round(alpha_e*10**40,1),\"*10**-40 F m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.11, Page number 6.28"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 57,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "electronic polarizability is 1.426 *10**-40 F m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "epsilonr=1.000435; #dielectric constant of material\n",
+ "N=2.7*10**25; #number of atoms(per m**3)\n",
+ "\n",
+ "#Calculation\n",
+ "alpha_e=epsilon0*(epsilonr-1)/N; #electronic polarizability(F m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"electronic polarizability is\",round(alpha_e*10**40,3),\"*10**-40 F m**2\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.12, Page number 6.28"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 63,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "electronic polarizability is 6.785 *10**-40 F m**2\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon0=8.85*10**-12;\n",
+ "epsilonr=4; #dielectric constant\n",
+ "D=2.08*10**3; #density(kg/m**3)\n",
+ "Na=6.02*10**26; #avagadro number\n",
+ "M=32; #atomic weight\n",
+ "\n",
+ "#Calculation\n",
+ "N=Na*D/M; #number of atoms(per m**3)\n",
+ "alphae=epsilon0*(epsilonr-1)/N; #atomic polarizability(F m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"electronic polarizability is\",round(alphae*10**40,3),\"*10**-40 F m**2\""
+ ]
+ }
+ ],
+ "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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