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{
"metadata": {
"name": "",
"signature": "sha256:59e0fed0245970f183161b17c490835692a2ba1742a8550242f21d13537b7e5e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"3: Dielectrics"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 3.1, Page number 68"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"k=78; #dielectric constant of water\n",
"epsilon0=8.9*10**-12; #dielectric permittivity of free space\n",
"\n",
"#Calculation\n",
"epsilon=k*epsilon0; #dielectric permittivity(C**2/Nm2)\n",
"chi=epsilon-epsilon0; #dielectric susceptibility(C**2/Nm2)\n",
"\n",
"#Result\n",
"print \"dielectric permittivity is\",epsilon,\"C**2/Nm2\"\n",
"print \"dielectric susceptibility is\",chi,\"C**2/Nm2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"dielectric permittivity is 6.942e-10 C**2/Nm2\n",
"dielectric susceptibility is 6.853e-10 C**2/Nm2\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 3.2, Page number 68"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"epsilon=15*10**-12; #dielectric permittivity(C**2/Nm2)\n",
"A=1; #area of plates(m**2)\n",
"q=60*10**-6; #charge(C)\n",
"epsilon0=8.9*10**-12; #dielectric permittivity of free space\n",
"\n",
"#Calculation\n",
"sigma=q/A; #surface charge density(C/m**2)\n",
"chi=epsilon-epsilon0; #dielectric susceptibility(C**2/Nm2)\n",
"E=sigma/epsilon; #electric field intensity(N/C)\n",
"P=chi*E; #polarization(C/m**2)\n",
"\n",
"#Result\n",
"print \"electric field intensity is\",E/10**6,\"*10**6 N/C\"\n",
"print \"polarization is\",P*10**6,\"*10**-6 C/m**2\"\n",
"print \"susceptibility is\",chi,\"C**2/Nm2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"electric field intensity is 4.0 *10**6 N/C\n",
"polarization is 24.4 *10**-6 C/m**2\n",
"susceptibility is 6.1e-12 C**2/Nm2\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 3.3, Page number 69"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"k=5.4; #dielectric constant\n",
"E=10**6; #electric field intensity(N/C)\n",
"epsilon0=8.9*10**-12; #dielectric permittivity of free space\n",
"\n",
"#Calculation\n",
"D=k*epsilon0*E; #electric displacement(C/m**2)\n",
"Ed=(1/2)*k*epsilon0*(E**2); #energy density in dielectric(J/m**2)\n",
"\n",
"#Result\n",
"print \"electric displacement is\",D,\"C/m**2\"\n",
"print \"answer given in the book is wrong\"\n",
"print \"energy density in dielectric is\",Ed,\"J/m**2\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"electric displacement is 4.806e-05 C/m**2\n",
"answer given in the book is wrong\n",
"energy density in dielectric is 24.03 J/m**2\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example number 3.4, Page number 69"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#importing modules\n",
"import math\n",
"from __future__ import division\n",
"\n",
"#Variable declaration\n",
"chi=35.4*10**-12; #susceptibility(C**2/Nm2)\n",
"epsilon0=8.85*10**-12; #dielectric permittivity of free space\n",
"\n",
"#Calculation\n",
"k=1+(chi/epsilon0); #dielectric constant\n",
"epsilon=epsilon0*k; #permittivity(C/Nm**2)\n",
"\n",
"#Result\n",
"print \"dielectric constant is\",k\n",
"print \"permittivity is\",epsilon,\"C/Nm**2\"\n",
"print \"answer given in the book is wrong\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"dielectric constant is 5.0\n",
"permittivity is 4.425e-11 C/Nm**2\n",
"answer given in the book is wrong\n"
]
}
],
"prompt_number": 8
}
],
"metadata": {}
}
]
}
|
