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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#10: Dielectric properties"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.1, Page number 10.23"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"energy stored in the condenser is 1.0 J\n",
"energy stored in the dielectric is 0.99 J\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"C=2*10**-6; #capacitance(F)\n",
"V=1000; #voltage(V)\n",
"epsilon_r=100;\n",
"\n",
"#Calculation\n",
"W=C*V**2/2; #energy stored in the condenser(J)\n",
"C0=C/epsilon_r;\n",
"W0=C0*V**2/2;\n",
"E=1-W0; #energy stored in the dielectric(J)\n",
"\n",
"#Result\n",
"print \"energy stored in the condenser is\",W,\"J\"\n",
"print \"energy stored in the dielectric is\",E,\"J\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.2, Page number 10.24"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ratio betwen electronic and ionic polarizability is 1.738\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"epsilon_r=4.94;\n",
"n2=2.69;\n",
"\n",
"#Calculation\n",
"x=(epsilon_r-1)/(epsilon_r+2);\n",
"y=(n2-1)/(n2+2);\n",
"r=(x/y)-1; #ratio betwen electronic and ionic polarizability\n",
"\n",
"#Result\n",
"print \"ratio betwen electronic and ionic polarizability is\",round(1/r,3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.3, Page number 10.24"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"parallel loss resistance is 10.0 ohm\n",
"answer varies due to rounding off errors\n",
"parallel loss capacitance is 226.56 *10**-12 Farad\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"epsilon_r=2.56;\n",
"epsilon_R=2.65*0.7*10**-4;\n",
"tan_delta=0.7*10**-4; \n",
"A=8*10**-4; #area(m**2)\n",
"d=0.08*10**-3; #diameter(m)\n",
"f=1*10**6; #frequency(Hz)\n",
"epsilon0=8.85*10**-12;\n",
"\n",
"#Calculation\n",
"Rp=d/(2*math.pi*f*epsilon0*epsilon_R*A); #parallel loss resistance(ohm)\n",
"Cp=A*epsilon0*epsilon_r/d; #parallel loss capacitance(Farad)\n",
"\n",
"#Result\n",
"print \"parallel loss resistance is\",round(Rp/10**6),\"ohm\"\n",
"print \"answer varies due to rounding off errors\"\n",
"print \"parallel loss capacitance is\",round(Cp*10**12,2),\"*10**-12 Farad\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.4, Page number 10.25"
]
},
{
"cell_type": "code",
"execution_count": 14,
"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",
"alphae=10**-40; \n",
"epsilon0=8.854*10**-12;\n",
"\n",
"#Calculation\n",
"epsilon_r=1+(N*alphae/epsilon0); #dielectric constant of material\n",
"\n",
"#Result\n",
"print \"dielectric constant of material is\",round(epsilon_r,3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.5, Page number 10.26"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"electronic polarizability is 2.243 *10**-41 Fm**2\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"N=2.7*10**25; #number of atoms(per m**3)\n",
"epsilon0=8.854*10**-12;\n",
"epsilon_r=1.0000684;\n",
"\n",
"#Calculation\n",
"alphae=epsilon0*(epsilon_r-1)/N; #electronic polarizability(Fm**2)\n",
"\n",
"#Result\n",
"print \"electronic polarizability is\",round(alphae*10**41,3),\"*10**-41 Fm**2\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.6, Page number 10.26"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"capacitance is 8.85e-12 F\n",
"charge on plates is 8.85e-10 coulomb\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=10**-2; #diameter(m)\n",
"V=100; #potential(V)\n",
"\n",
"#Calculation\n",
"C=epsilon0*A/d; #capacitance(F)\n",
"Q=C*V; #charge on plates(coulomb)\n",
"\n",
"#Result\n",
"print \"capacitance is\",C,\"F\"\n",
"print \"charge on plates is\",Q,\"coulomb\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.7, Page number 10.27"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"electronic polarizability is 3.181 *10**-40 Fm**2\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"n=6.02*10**26; #avagadro number\n",
"d=2050; #density(kg/m**3)\n",
"w=32; #atomic weight\n",
"gama=1/3; #internal field constant\n",
"epsilon0=8.55*10**-12;\n",
"epsilon_r=3.75;\n",
"\n",
"#Calculation\n",
"N=n*d/w; #number of atoms(per m**3)\n",
"alphae=3*epsilon0*((epsilon_r-1)/(epsilon_r+2))/N; #electronic polarizability(Fm**2)\n",
"\n",
"#Result\n",
"print \"electronic polarizability is\",round(alphae*10**40,3),\"*10**-40 Fm**2\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.8, Page number 10.28"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"resultant voltage is 39.73 Volts\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"Q=2*10**-10; #charge(C)\n",
"d=4*10**-3; #seperation(m)\n",
"epsilon_r=3.5;\n",
"A=650*10**-6; #area(m**2)\n",
"epsilon0=8.85*10**-12;\n",
"\n",
"#Calculation\n",
"V=Q*d/(epsilon0*epsilon_r*A); #resultant voltage(V)\n",
"\n",
"#Result\n",
"print \"resultant voltage is\",round(V,2),\"Volts\""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##Example number 10.9, Page number 10.28"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dielectric displacement is 265.5 *10**-9 C m**-2\n"
]
}
],
"source": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"d=2*10**-3; #seperation(m)\n",
"epsilon_r=6;\n",
"V=10; #voltage(V)\n",
"epsilon0=8.85*10**-12;\n",
"\n",
"#Calculation\n",
"E=V/d;\n",
"D=epsilon0*epsilon_r*E; #dielectric displacement(C m**-2)\n",
"\n",
"#Result\n",
"print \"dielectric displacement is\",round(D*10**9,1),\"*10**-9 C 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
}
|
