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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 24: Gauss Law"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 24.1: Sample_Problem_1.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('degree_rad.sci', -1)\n",
"\n",
"//Given that\n",
"R = 1 //(say)\n",
"E = 1 //(say)\n",
"A = 1 //cuve surface area of cylinder(say)\n",
"\n",
"//Sample Problem 24-1\n",
"printf('**Sample Problem 24-1**\n')\n",
"flux = E*A + (-E*A) + E*A*cos(dtor(90))\n",
"printf('The net flux passing through the cylinder is equal to %fN.m^2/C', flux)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 24.2: Sample_Problem_2.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Given that\n",
"x = poly(0, 'x')\n",
"E = [3*x, 4, 0]\n",
"x1 = 1.0 //in m\n",
"x2 = 3.0 //in m\n",
"y1 = 0.0 //in m\n",
"y2 = 2.0 //in m\n",
"z1 = 0.0 //in m\n",
"z2 = 2.0 //in m\n",
"\n",
"//Sample Problem 24-2\n",
"printf('**Sample Problem 24-2**\n')\n",
"//top face\n",
"A = [0; 2; 0] //area per unit x\n",
"Phi_top = integrate('[3*x, 4, 0]*A', 'x', x1, x2)\n",
"printf('The flux through the top face is equal to %fN.m^2/C\n', Phi_top)\n",
"//left face\n",
"A = [-2*2; 0; 0]\n",
"Phi_left = horner(E, x1)*A\n",
"printf('The flux through the left face is equal to %fN.m^2/C\n', Phi_left)\n",
"//Right face\n",
"A = [2*2; 0; 0]\n",
"Phi_right = horner(E, x2)*A\n",
"printf('The flux through the right face is equal to %fN.m^2/C', Phi_right)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 24.3: Sample_Problem_3.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"q1 = +3.1*10^-9 //in C\n",
"q4 = q1\n",
"q2 = -5.9*10^-9 //in C\n",
"q5 = q2\n",
"q3 = -3.1*10^-9 //in C\n",
"\n",
"//Sample Problem 24-3\n",
"printf('**Sample Problem 24-3**\n')\n",
"//Using gauss law\n",
"flux = (q1+q2+q3)/Eo\n",
"printf('The flux through the surface is equal to %fN.m^2/C', flux)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 24.4: Sample_Problem_4.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"//Given that\n",
"q = -5 //in micro coulomb\n",
"\n",
"//Sample Problem 24-4\n",
"printf('**Sample Problem 24-4**\n')\n",
"qin = -q\n",
"qout = -qin\n",
"printf('Charge on the inner surface is equal to %dmicroCoulomb\n', qin)\n",
"printf('Charge on the outer surface is equal to %dmicroCoulom', qout)"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 24.5: Sample_Problem_5.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"lambda = -1*10^-3 //in C/m\n",
"Eb = 3*10^6 //in N/C\n",
"\n",
"//Sample Problem 24-5\n",
"printf('**Sample Problem 24-5**\n')\n",
"r = lambda/(2*%pi*Eo*Eb)\n",
"printf('The radius of the column is equal to %fm', abs(r))"
]
}
,
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 24.6: Sample_Problem_6.sce"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"exec('electrostatics.sci', -1)\n",
"\n",
"//Given that\n",
"sigmaP = 6.8*10^-6 //in C.m^2\n",
"sigmaN = 4.3*10^-6 //in C.m^2\n",
"\n",
"Ep = sigmaP/(2*Eo) //field due to positive plate\n",
"En = sigmaN/(2*Eo) //field due to negative plate\n",
"//Sample Problem 24-6a\n",
"printf('**Sample Problem 24-6a**\n')\n",
"El = En - Ep\n",
"printf('Electric field on the left of the sheets is equal to %eN/C\n', El)\n",
"\n",
"//Sample Problem 24-6b\n",
"printf('\n**Sample Problem 24-6b**\n')\n",
"Eb = En + Ep\n",
"printf('Field in between is equal to %eN/C\n', Eb)\n",
"\n",
"//Sample Problem 24-6c\n",
"printf('\n**Sample Problem 24-6c**\n')\n",
"Er = -En + Ep\n",
"printf('Field in between is equal to %eN/C', Er)"
]
}
],
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"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"
}
],
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"version": "0.7.1"
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|
