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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 26: Capacitance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 26.1: Sample_Problem_1.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"C = 55*10^-15 //in F\n",
"V = 5.3 //in V\n",
"\n",
"//Sample Problem 26-1\n",
"printf('**Sample Problem 26-1**\n')\n",
"Q = C*V\n",
"n = Q/e\n",
"printf('The number of excess electron is equal to %e', n)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 26.2: Sample_Problem_2.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"C1 = 12 //in uF\n",
"C2 = 5.30 //in uF\n",
"C3 = 4.50 //in uF\n",
"V = 12.5 //in Volts\n",
"\n",
"//Sample Problem 26-2a\n",
"printf('**Sample Problem 26-2a**\n')\n",
"C12 = C1 + C2 //in series\n",
"C123 = C12*C3/(C12 + C3) //in parallel\n",
"printf('The equivalent capacitance for the given circuit is %fuF\n', C123)\n",
"\n",
"//Sample Problem 26-2b\n",
"printf('\n**Sample Problem 26-2b**\n')\n",
"Q123 = C123*V\n",
"Q12 = Q123 //in series\n",
"Q1 = Q12*C1/(C1+C2)\n",
"printf('The charge on the capacitor C1 is equal to %fuC', Q1)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 26.3: Sample_Problem_3.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Given that\n",
"C1 = 3.55 //in uF\n",
"Vo = 6.30 //in Volts\n",
"C2 = 8.95 //in uF\n",
"\n",
"//Sample Problem 26-3\n",
"printf('**Sample Problem 26-3**\n')\n",
"qT = C1*Vo //Total charge\n",
"q1 = qT*C1/(C1+C2) //in parallel\n",
"V = q1/C1\n",
"printf('The final potential difference between each capacitor is equal to %fV', V)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 26.4: Sample_Problem_4.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"R = 6.85*10^-2 //in m\n",
"q = 1.25*10^-9 //in C\n",
"\n",
"//Sample Problem 26-4a\n",
"printf('**Sample Problem 26-4a**\n')\n",
"C = 4*%pi*Eo*R\n",
"U = q^2/(2*C)\n",
"printf('The electric energy stored is equal to %eJ\n', U)\n",
"\n",
"//Sample Problem 26-4b\n",
"printf('\n**Sample Problem 26-4b**\n')\n",
"E = coulomb(q, 1, R)\n",
"u = 1/2*Eo*E^2\n",
"printf('The energy density is equal to %eJ/m^3', u)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 26.5: Sample_Problem_5.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"C = 13.5*10^-12 //in F\n",
"V = 12.5 //in Volts\n",
"x = 6.50\n",
"\n",
"//Sample Problem 26-5\n",
"printf('**Sample Problem 26-5**\n')\n",
"q = C*V\n",
"Ui = q^2/(2*C)\n",
"printf('The initial stored energy is equal to %eJ\n', Ui)\n",
"C = x*C\n",
"Uf = q^2/(2*C)\n",
"printf('The energy stored after the slab is inserted is equal to %eJ', Uf)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 26.6: Sample_Problem_6.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"A = 115*10^-4 //in m^2\n",
"d = 1.24*10^-2 //in meter\n",
"Vo = 85.5 //in Volts\n",
"b = 0.780*10^-2 //in meter\n",
"x = 2.61\n",
"\n",
"//Sample Problem 26-6a\n",
"printf('**Sample Problem 26-6a**\n')\n",
"Co = A*Eo/d\n",
"printf('The capacitance of the plates before the dielectric slab is inserted is equal to %fpF\n', Co*10^12)\n",
"\n",
"//Sample Problem 26-6b\n",
"printf('\n**Sample Problem 26-6b**\n')\n",
"Q = Co*Vo\n",
"printf('Free charge on the plates is equal to%fpC\n', Q*10^12)\n",
"\n",
"//Sample Problem 26-6c\n",
"printf('\n**Sample Problem 26-6c**\n')\n",
"E = Q/(A*Eo)\n",
"printf('The electric field is equal to %fV/m\n', E)\n",
"\n",
"//Sample Problem 26-6d\n",
"printf('\n**Sample Problem 26-6d**\n')\n",
"E1 = Q/(A*Eo*x)\n",
"printf('The electric field in dielectric slab is equal to %fV/m\n', E1)\n",
"\n",
"//Sample Problem 26-6e\n",
"printf('\n**Sample Problem 26-6e**\n')\n",
"V = E*(d-b) + E1*b\n",
"printf('The new potential difference is equal to %fV\n', V)\n",
"\n",
"//Sample Problem 26-6f\n",
"printf('\n**Sample Problem 26-6f**\n')\n",
"C = Q/V\n",
"printf('The new capacitance is equal to %fpF', C*10^12)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Scilab",
"language": "scilab",
"name": "scilab"
},
"language_info": {
"file_extension": ".sce",
"help_links": [
{
"text": "MetaKernel Magics",
"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
}
],
"mimetype": "text/x-octave",
"name": "scilab",
"version": "0.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
