{ "metadata": { "name": "", "signature": "sha256:ba3f78351f4be2023ce816790e91ae988fafb883f552e13733bb7da3271b13e0" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "1: Electrostatics-Basic concepts" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 1.1, Page number 12" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "r=0.053*10**-9; #distance(m)\n", "q1=1.6*10**-19; #charge on electron(C)\n", "q2=1.6*10**-19; #charge on proton(C)\n", "#let x=1/(4*math.pi*epsilon0)\n", "x=9*10**9;\n", "\n", "#Calculation\n", "F=x*q1*q2/(r**2); #force of attraction(N)\n", "\n", "#Result\n", "print \"force of attraction is\",round(F*10**8,1),\"*10**-8 N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "force of attraction is 8.2 *10**-8 N\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 1.2, Page number 13" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "r=2; #distance(m)\n", "q1plusq2=5*10**-4; #positive charge(C)\n", "#let x=1/(4*math.pi*epsilon0)\n", "x=9*10**9;\n", "F=1; #force(N)\n", "\n", "#Calculation\n", "q1q2=F*(r**2)/x; #product of charges(C**2)\n", "q1minusq2=math.sqrt((q1plusq2**2)-(4*q1q2)); ##difference of charges(C)\n", "twoq1=q1plusq2+q1minusq2;\n", "q1=twoq1/2; #charge on individual sphere(C)\n", "twoq2=q1plusq2-q1minusq2;\n", "q2=twoq2/2; #charge on individual sphere(C)\n", "\n", "#Result\n", "print \"the charges on individual spheres are\",round(q1*10**4,3),\"*10**-4 and\",round(q2*10**4,3),\"*10**-4\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "the charges on individual spheres are 4.991 *10**-4 and 0.009 *10**-4\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 1.3, Page number 13" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "m=9.1*10**-31; #mass of electron(kg)\n", "g=9.8; #acceleration due to gravity(m/sec**2)\n", "q=1.6*10**-19; #charge on electron(C)\n", "\n", "#Calculation\n", "F1=m*g; #force by electron(N)\n", "E=F1/(2*q); #intensity of electric field(N/C)\n", "\n", "#Result\n", "print \"intensity of electric field is\",round(E*10**11,3),\"*10**-11 N/C\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "intensity of electric field is 2.787 *10**-11 N/C\n" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example number 1.4, Page number 14" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#importing modules\n", "import math\n", "from __future__ import division\n", "\n", "#Variable declaration\n", "r=12*10**-2; #distance(m)\n", "q1=2*10**-7; #charge(C)\n", "q2=8.5*10**-8; #charge(C)\n", "#let x=1/(4*math.pi*epsilon0)\n", "x=9*10**9;\n", "\n", "#Calculation\n", "E1=x*q2/(r**2); #intensity at electric field at q1 due to q2(N/C)\n", "E2=x*q1/(r**2); #intensity at electric field at q2 due to q1(N/C)\n", "F=x*q1*q2/(r**2); #force of attraction(N)\n", "\n", "#Result\n", "print \"intensity at electric field at q1 due to q2 is\",round(E1*10**-5,2),\"*10**5 N/C\"\n", "print \"intensity at electric field at q1 due to q2 is\",round(E2*10**-5,2),\"*10**5 N/C\"\n", "print \"force of attraction is\",round(F,4),\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "intensity at electric field at q1 due to q2 is 0.53 *10**5 N/C\n", "intensity at electric field at q1 due to q2 is 1.25 *10**5 N/C\n", "force of attraction is 0.0106 N\n" ] } ], "prompt_number": 16 } ], "metadata": {} } ] }