{ "metadata": { "name": "", "signature": "sha256:9880f2d8505e271317a099910ead6c2116ce86fa0e83f56feb35ac33a1b96b23" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 1 Electric charge" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.1 Page no 9" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "q=4.5*10**-19 #C\n", "e=1.6*10**-19 #C\n", "\n", "#Calculation\n", "n=q/e\n", "\n", "#Result\n", "print\"n= \",round(n,1),\"This value of charge is not possible\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "n= 2.8 This value of charge is not possible\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.2 Page no 9" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "q=3.2*10**-7 #C\n", "e=1.6*10**-19 #C\n", "\n", "#Calculation\n", "n=q/e\n", "\n", "#Result\n", "print\"The required number of electrons is \",n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The required number of electrons is 2e+12\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.3 Page no 9" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "q=19.2*10**-19\n", "e=1.6*10**-19\n", "me=9*10**-31 #Kg\n", "\n", "#Calculation\n", "n=q/e\n", "M=n*me\n", "\n", "#Result\n", "print\"(i) The value of n=\",n,\"\\n(ii) Charge on silk=\",-q*10**19,\"*10**-19\"\n", "print\"(iii) Mass=\",M,\"Therefore mass transferred is negligibly small\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(i) The value of n= 12.0 \n", "(ii) Charge on silk= -19.2 *10**-19\n", "(iii) Mass= 1.08e-29 Therefore mass transferred is negligibly small\n" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.4 Page no 9" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=16\n", "n=6.023*10**23 #C\n", "\n", "#Calculation\n", "W=2+a\n", "A=((n*100)/W)*10\n", "\n", "#Result\n", "print\"Total number of electrons in 100 g of water \", round(A,-23)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Total number of electrons in 100 g of water 3.35e+25\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.5 Page no 9" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "n=10**9\n", "e=1.6*10**-19 #C\n", "Q=1\n", "\n", "#Calculation\n", "q=n*e\n", "t=Q/q\n", "\n", "#Result\n", "print (t*10**-9),\"10**9 S\"\n", "print\"Time required is about 198 years\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "6.25 10**9 S\n", "Time required is about 198 years\n" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.6 Page no 13" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "q1=20 #micro C\n", "q2=-5 #micro C\n", "a=9*10**9\n", "r=0.1 \n", "\n", "#Calculation\n", "q=q1+q2\n", "q3=q/2.0\n", "F=(a*q3*q3)/r**2\n", "\n", "#Result\n", "print\"Force is \",round(F*10**-13,3),\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Force is 5.062 N\n" ] } ], "prompt_number": 24 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Example 1.10 Page no 14" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=9*10**9\n", "q=5*10**-6\n", "r=0.1\n", "\n", "#Calculation\n", "import math\n", "F=(m*q*q)/r**2\n", "C=2*F*math.cos(30)*(180/3.14)\n", "\n", "#Result\n", "print\"Force on each charge is \", round(C,1)*10**-1,\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Force on each charge is 39.79 N\n" ] } ], "prompt_number": 66 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.11 Page no 14" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=9*10**9\n", "q=1\n", "r=0.24\n", "A=20\n", "B=12.0\n", "m1=10**-4\n", "g=9.8\n", "\n", "#Calculation\n", "import math\n", "F=(m*q**2)/r**2\n", "AD=math.sqrt(A**2-B**2)\n", "C=AD/B\n", "F1=(1/C)*m1*g\n", "Q=math.sqrt(F1/F)\n", "\n", "#Result\n", "print\"Charge on each sphere\", round(Q*10**8,1),\"10**-8\",\"C\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Charge on each sphere 6.9 10**-8 C\n" ] } ], "prompt_number": 79 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.12 Page no 15" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "F=3.7*10**-9 #C\n", "q=1.6*10**-19 #c\n", "m=9*10**9\n", "r=5*10**-10\n", "\n", "#Calculation \n", "import math\n", "n=math.sqrt(F*r**2/(m*q**2))\n", "\n", "#Result\n", "print round(n,0),\"electrons are missing from each icon\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2.0 electrons are missing from each icon\n" ] } ], "prompt_number": 82 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.14 Page no 16" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "e=1.6*10**-19\n", "m=9*10**9\n", "G=6.67*10**-11\n", "me=9.11*10**-31\n", "mp=1.67*10**-27\n", "r=10**-10\n", "\n", "#Calculation\n", "F0=(m*e**2)/(G*me*mp)\n", "F1=(m*e**2)/(G*mp*mp)\n", "F2=m*e**2/r**2\n", "A1=F2/me\n", "A2=F2/mp\n", "\n", "#Result\n", "print\"(a)(i)strength of an electrons and protons\", round(F0*10**-39,1)*10**39\n", "print\" (ii)Strength of two protons \",round(F1*10**-36,1)*10**36\n", "print\"(b) Acceleration of electron is \",round(A1*10**-22,1)*10**22,\"m/s**2\"\n", "print\" Acceleration of proton is \",round(A2*10**-19,1)*10**19,\"m/s*2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)(i)strength of an electrons and protons 2.3e+39\n", " (ii)Strength of two protons 1.2e+36\n", "(b) Acceleration of electron is 2.5e+22 m/s**2\n", " Acceleration of proton is 1.4e+19 m/s*2\n" ] } ], "prompt_number": 112 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.16 Page no 19" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=9*10**9 #C\n", "q1=10*10**-6\n", "q2=5*10**-6\n", "r=0.05\n", "\n", "#Calculation\n", "import math\n", "F1=m*q1*q2/r**2\n", "F2=m*q1*q2/r**2\n", "F3=math.sqrt(F1**2+F2**2+(2*F1*F2*math.cos(120)*180/3.14))\n", "\n", "#Result\n", "print\"Resultant charge is \", round(F3*10**-1,0),\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Resultant charge is 176.0 N\n" ] } ], "prompt_number": 132 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.17 Page no 20 " ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=9*10**9\n", "q1=1.2*10**-8\n", "q2=1\n", "r=0.03\n", "r1=0.04\n", "q3=1.6*10**-8\n", "\n", "#Calculation\n", "import math\n", "F1=m*q1*q2/r**2\n", "F2=m*q3*q2/r1**2\n", "F3=math.sqrt(F1**2+F2**2)\n", "\n", "#Result\n", "print\"Total force is \", F3*10**-5,\"10**5\",\"N\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Total force is 1.5 10**5 N\n" ] } ], "prompt_number": 149 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 1.18 Page no 20" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "m=9*10**9\n", "q1=1\n", "q2=100\n", "r=10\n", "q3=75 #C\n", "r1=5\n", "\n", "#Calculation\n", "import math\n", "F=m*q1*q2/r**2 #along BA\n", "F1=m*q1*q2/r**2 #along AC\n", "F2=m*q3/(math.sqrt(r**2-r1**2)**2)\n", "F3=math.sqrt(F1**2+F2**2)\n", "X=F1/F2\n", "\n", "#Result\n", "print\"Force experienced by 1 C Charge is \",round(F3*10**-9,2),\"N\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Force experienced by 1 C Charge is 12.73 N\n" ] } ], "prompt_number": 168 } ], "metadata": {} } ] }