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diff --git a/Fundamental_Of_Physics_by_D_Haliday/24-Gauss_Law.ipynb b/Fundamental_Of_Physics_by_D_Haliday/24-Gauss_Law.ipynb new file mode 100644 index 0000000..6ab88a7 --- /dev/null +++ b/Fundamental_Of_Physics_by_D_Haliday/24-Gauss_Law.ipynb @@ -0,0 +1,229 @@ +{ +"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)" + ] + } +], +"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 +} |