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diff --git a/Materials_Science_by_Dr._M._Arumugam/Chapter6_1.ipynb b/Materials_Science_by_Dr._M._Arumugam/Chapter6_1.ipynb new file mode 100755 index 00000000..8da69c01 --- /dev/null +++ b/Materials_Science_by_Dr._M._Arumugam/Chapter6_1.ipynb @@ -0,0 +1,308 @@ +{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#6: Dielectric Materials"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.1, Page number 6.34"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "insulation resistance is 0.85 *10**18 ohm\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",
+ "rho=5*10**16; #resistivity(ohm m)\n",
+ "l=5*10**-2; #thickness(m)\n",
+ "b=8*10**-2; #length(m)\n",
+ "w=3*10**-2; #width(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=b*w; #area(m**2)\n",
+ "Rv=rho*l/A; \n",
+ "X=l+b; #length(m)\n",
+ "Y=w; #perpendicular(m)\n",
+ "Rs=Rv*X/Y; \n",
+ "Ri=Rs*Rv/(Rs+Rv); #insulation resistance(ohm)\n",
+ "\n",
+ "#Result\n",
+ "print \"insulation resistance is\",round(Ri/10**18,2),\"*10**18 ohm\"\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.2, Page number 6.34"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "DC dielectric loss is 1 *10**-3 watt\n",
+ "AC dielectric loss is 22.22 *10**-3 watt\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "rho=10**10; #resistivity(ohm m)\n",
+ "d=10**-3; #thickness(m)\n",
+ "A=10**4*10**-6; #area(m**2)\n",
+ "V=10**3; #voltage(V)\n",
+ "f=50; #power frequency(Hz)\n",
+ "epsilonr=8;\n",
+ "epsilon0=8.84*10**-12;\n",
+ "tan_delta=0.1;\n",
+ "\n",
+ "#Calculation\n",
+ "Rv=rho*d/A; \n",
+ "dl_DC=V**2/Rv; #DC dielectric loss(watt)\n",
+ "C=A*epsilon0*epsilonr/d;\n",
+ "dl_AC=V**2*2*math.pi*f*C*tan_delta; #AC dielectric loss(watt)\n",
+ "\n",
+ "#Result\n",
+ "print \"DC dielectric loss is\",int(dl_DC*10**3),\"*10**-3 watt\"\n",
+ "print \"AC dielectric loss is\",round(dl_AC*10**3,2),\"*10**-3 watt\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.3, Page number 6.35"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "polarisability of He is 0.185 *10**-40 farad m**2\n",
+ "relative permittivity is 1.000056\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=8.84*10**-12;\n",
+ "R=0.55*10**-10; #radius(m)\n",
+ "N=2.7*10**25; #number of atoms\n",
+ "\n",
+ "#Calculation\n",
+ "alpha_e=4*math.pi*epsilon0*R**3; #polarisability of He(farad m**2)\n",
+ "epsilonr=1+(N*alpha_e/epsilon0); #relative permittivity\n",
+ "\n",
+ "#Result\n",
+ "print \"polarisability of He is\",round(alpha_e*10**40,3),\"*10**-40 farad m**2\"\n",
+ "print \"relative permittivity is\",round(epsilonr,6)\n",
+ "print \"answer varies due to rounding off errors\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.4, Page number 6.35"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "field strength is 3.535 *10**7 V/m\n",
+ "total dipole moment is 33.4 *10**-12 Cm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "A=360*10**-4; #area(m**2)\n",
+ "V=15; #voltage(V)\n",
+ "C=6*10**-6; #capacitance(farad)\n",
+ "epsilonr=8;\n",
+ "epsilon0=8.84*10**-12;\n",
+ "\n",
+ "#Calculation\n",
+ "E=V*C/(epsilon0*epsilonr*A); #field strength(V/m)\n",
+ "dm=epsilon0*(epsilonr-1)*V*A; #total dipole moment(Cm)\n",
+ "\n",
+ "#Result\n",
+ "print \"field strength is\",round(E/10**7,3),\"*10**7 V/m\"\n",
+ "print \"total dipole moment is\",round(dm*10**12,1),\"*10**-12 Cm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.5, Page number 6.36"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "capacitance is 226.3 *10**-12 farad\n",
+ "parallel loss resistance is 10 mega ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "d=0.08*10**-3; #thickness(m)\n",
+ "A=8*10**-4; #area(m**2)\n",
+ "epsilonr=2.56;\n",
+ "epsilon0=8.84*10**-12;\n",
+ "tan_delta=0.7*10**-4;\n",
+ "new=10**6; #frequency(Hz)\n",
+ "\n",
+ "#Calculation\n",
+ "C=A*epsilon0*epsilonr/d; #capacitance(farad)\n",
+ "epsilonrdash=tan_delta*epsilonr;\n",
+ "omega=2*math.pi*new;\n",
+ "R=d/(epsilon0*epsilonrdash*omega*A); #parallel loss resistance(ohm)\n",
+ "\n",
+ "#Result\n",
+ "print \"capacitance is\",round(C*10**12,1),\"*10**-12 farad\"\n",
+ "print \"parallel loss resistance is\",int(R/10**6),\"mega ohm\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "##Example number 6.6, Page number 6.36"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "the complex polarizability is (3.50379335033-0.0600074383321j) *10**-40 F-m**2\n",
+ "answer cant be rouned off to 2 decimals as given in the textbook. Since it is a complex number and complex cant be converted to float\n"
+ ]
+ }
+ ],
+ "source": [
+ "#importing modules\n",
+ "import math\n",
+ "from __future__ import division\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilonr=4.36; #dielectric constant\n",
+ "t=2.8*10**-2; #loss tangent(t)\n",
+ "N=4*10**28; #number of electrons\n",
+ "epsilon0=8.84*10**-12; \n",
+ "\n",
+ "#Calculation\n",
+ "epsilon_r = epsilonr*t;\n",
+ "epsilonstar = (complex(epsilonr,-epsilon_r));\n",
+ "alphastar = (epsilonstar-1)/(epsilonstar+2);\n",
+ "alpha_star = 3*epsilon0*alphastar/N; #complex polarizability(Fm**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"the complex polarizability is\",alpha_star*10**40,\"*10**-40 F-m**2\"\n",
+ "print \"answer cant be rouned off to 2 decimals as given in the textbook. Since it is a complex number and complex cant be converted to float\""
+ ]
+ }
+ ],
+ "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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