{ "metadata": { "name": "", "signature": "sha256:59a10421d0b18543bcaaf15fad8dcc2fa1ef98c5fe857c6feab5eddfb8fae6cd" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 5 Capacitor" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.1 Page no 108" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "r=6.4*10**6 #m\n", "t=9*10**9\n", "\n", "#Calculation\n", "C=r/t\n", "\n", "#Result\n", "print\"The capacitance is\",round(C*10**6,0),\"F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The capacitance is 711.0 F\n" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "Example 5.2 Page no 108" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "r=0.01 #m\n", "q=1 #C\n", "d=9.0*10**9\n", "\n", "#Calculation\n", "V=(q*d)/r\n", "\n", "#Result\n", "print\"V=\",V,\"V\"\n", "print\"The given metal sphere will not be able to hold charge of 1 C\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "V= 9e+11 V\n", "The given metal sphere will not be able to hold charge of 1 C\n" ] } ], "prompt_number": 25 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.3 Page no 109" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "R=3\n", "Q=27\n", "q=4*220\n", "\n", "#Calculation\n", "d=(Q*q)/(4*R)\n", "\n", "#Result\n", "print\"The potential of the bigger drop is\",d,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The potential of the bigger drop is 1980 V\n" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "Example 5.4 Page no 109" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C=2 #F\n", "d=0.5*10**-2 #m\n", "a=8.854*10**-12\n", "\n", "#Calculation\n", "Q=(C*d)/a\n", "\n", "#Result\n", "print\"Area of the plate is\", round(Q*10**-9,2),\"*10**9 m**2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Area of the plate is 1.13 *10**9 m**2\n" ] } ], "prompt_number": 36 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.5 Page no 109" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "A=10**-2 #m**2\n", "d=10**-3 #m\n", "q=0.12*10**-6\n", "V=120.0\n", "e=8.85*10**-12\n", "\n", "#Calculation\n", "C=q/V\n", "K=C*d/(e*A)\n", "\n", "#Result\n", "print\"Dielectric constant of the material is\", round(K,1)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Dielectric constant of the material is 11.3\n" ] } ], "prompt_number": 40 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.6 Page no 109" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "A1=100.0 #cm**2\n", "A2=500 #cm**2\n", "d1=0.05 #cm\n", "\n", "#Calculation\n", "d2=(A2*d1)/A1\n", "\n", "#Result\n", "print\"Difference between the plates of second capacitor is\", d2,\"cm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Difference between the plates of second capacitor is 0.25 cm\n" ] } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.7 Page no 109" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=6.45*10**6 #m\n", "b=6.4*10**6 #m\n", "m=9*10**9\n", "\n", "#Calculation\n", "C=(a*b)/(m*(a-b))\n", "\n", "#Result\n", "print\"Capacitance of the spherical capacitor is\",round(C,3),\"F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Capacitance of the spherical capacitor is 0.092 F\n" ] } ], "prompt_number": 48 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.8 Page no 109" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=12*10**-2 #m\n", "b=13*10**-2 #m\n", "q=2.5*10**-6 #C\n", "K=32\n", "m=9.0*10**9\n", "\n", "#Calculation\n", "C=(K*a*b)/(m*(b-a))\n", "V=q/C\n", "C1=a/m\n", "C2=C/C1\n", "\n", "#Result\n", "print\"(a) Capacitance of the capacitor is\", round(C*10**9,3)*10**-9,\"F\"\n", "print\"(b) Potential of the inner sphere is\", round(V,1),\"V\"\n", "print\"(c) Capacitance of the capacitor is\",C2" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Capacitance of the capacitor is 5.547e-09 F\n", "(b) Potential of the inner sphere is 450.7 V\n", "(c) Capacitance of the capacitor is 416.0\n" ] } ], "prompt_number": 61 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.9 Page no 110" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "a=1.4*10**-2 #m\n", "b=1.5*10**-2 #m\n", "q=3.5*10**-6 #C\n", "e=8.854*10**-12\n", "l=15*10**-2\n", "\n", "#Calculation\n", "import math\n", "C=(2*math.pi*e*l)/(2.303*math.log10(b/a))\n", "V=q/C\n", "\n", "#Result\n", "print\"Capacitance of the system is\", round(C*10**10,2)*10**-8,\"F\"\n", "print\"Potential of the inner cylinder is\", round(V*10**-4,2),\"*10**4 V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Capacitance of the system is 1.21e-08 F\n", "Potential of the inner cylinder is 2.89 *10**4 V\n" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.10 Page no 110" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C=9.0*10**-12 #F\n", "V=120 #V\n", "\n", "#Calculation\n", "C1=1/(3/C)\n", "q=(V*C)/3.0\n", "V1=q/C\n", "\n", "#Result\n", "print\"(a) Total capacitance is\",C1,\"F\"\n", "print\"(b) Potential difference across each capacitor is\",V1,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Total capacitance is 3e-12 F\n", "(b) Potential difference across each capacitor is 40.0 V\n" ] } ], "prompt_number": 17 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.11 Page no 110" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C1=2*10**-12 #F\n", "C2=3*10**-12\n", "C3=4*10**-12\n", "V=100 #Volts\n", "\n", "#Calculation\n", "C=C1+C2+C3\n", "q1=C1*V\n", "q2=C2*V\n", "q3=C3*V\n", "\n", "#Result\n", "print\"(a) Total capacitamce of the parallel combination is\",C,\"F\"\n", "print\"(b) Charge on q1 is\",q1,\"C\"\n", "print\"(c) Charge on q2 is\",q2,\"C\"\n", "print\"(d) Charge on q3 is\",q3,\"C\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Total capacitamce of the parallel combination is 9e-12 F\n", "(b) Charge on q1 is 2e-10 C\n", "(c) Charge on q2 is 3e-10 C\n", "(d) Charge on q3 is 4e-10 C\n" ] } ], "prompt_number": 26 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.12 Page no 110" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "c1=5.0 #micro F\n", "c2=4.0\n", "c3=3.0\n", "\n", "#Calculation\n", "C=1/(1/c1+1/c2)\n", "c11=C+c3\n", "\n", "#Result\n", "print\"Capacitance of the combination is\",round(c11,2),\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Capacitance of the combination is 5.22 micro F\n" ] } ], "prompt_number": 31 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.13 Page no 111" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "cs=3 #micro F\n", "cp=16\n", "c1=12\n", "\n", "#Calculation\n", "C=cs*cp\n", "c2=cp-c1\n", "\n", "#Result\n", "print\"Capacitance of each capacitor is\",c2,\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Capacitance of each capacitor is 4 micro F\n" ] } ], "prompt_number": 35 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.14 Page no 111" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "c2=6.0 #micro F\n", "c3=6.0\n", "c1=12.0\n", "c4=12.0\n", "\n", "#Calculation\n", "c23=c2+c3\n", "C=1/(1/c1+1/c23+1/c4)\n", "\n", "#Result\n", "print\"resultant of capacitance is\",C,\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "resultant of capacitance is 4.0 micro F\n" ] } ], "prompt_number": 39 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.15 Page no 111" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "c1=3.0 #pico F\n", "c2=2.0\n", "\n", "#Calculation\n", "C=1/(1/c1+1/c2+1/c1)\n", "c11=C+c2\n", "C11=1/(1/c1+1/c11+1/c1)\n", "\n", "#Result \n", "print\"Resultant capacitance is\",round(C11,0),\"pF\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Resultant capacitance is 1.0 pF\n" ] } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.16 Page no 111" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C2=2\n", "C3=2\n", "C1=1 #micro F\n", "C4=2\n", "C5=1\n", "\n", "#Calculation\n", "C23=C2*C3/(C2+C3)\n", "C123=C1+C23\n", "C1234=C123*C4/(C123+C4)\n", "C=C1234+C5\n", "\n", "#Ressult\n", "print\"Equivalent capacitance is\", C,\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Equivalent capacitance is 2 micro F\n" ] } ], "prompt_number": 49 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.17 Page no 112" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C5=10*10**-6 #micro F\n", "C6=10*10**-6\n", "C2=60.0*10**-6\n", "C3=60.0*10**-6\n", "C4=60.0*10**-6\n", "C1=40*10**-6\n", "V=100 #V\n", "\n", "#Calculation\n", "C56=(C5+C6)\n", "C234=1/(1/C2+1/C3+1/C4)\n", "C=C56+C234\n", "C11=(C1*C)/(C1+C)\n", "q=C56*V\n", "\n", "#Result\n", "print\"Total charge is\",q*10**3,\"*10**-3 C\"\n", "print\"Equivalent capacitance is\",C11*10**6,\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Total charge is 2.0 *10**-3 C\n", "Equivalent capacitance is 20.0 micro F\n" ] } ], "prompt_number": 75 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.19 Page no 113" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C1=5.0*10**-6 #F\n", "C2=10.0*10**-6\n", "C3=2.0*10**-6\n", "C4=4.0*10**-6\n", "\n", "#Calculation\n", "C12=1/(1/C1+1/C2)\n", "C34=1/(1/C3+1/C4)\n", "C=C12+C34\n", "\n", "#Result\n", "print\"Effective capacitance is\", round(C*10**6,2),\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Effective capacitance is 4.67 micro F\n" ] } ], "prompt_number": 81 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.20 Page no 113" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "n=3\n", "C1=1.0\n", "C2=1.0\n", "C3=1.0\n", "C=2 #micro F\n", "\n", "#Calculation\n", "C11=1/(1/C1+1/C2+1/C3)\n", "m=C/C11\n", "\n", "#Result\n", "print\"Capacitance required is\", m" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Capacitance required is 6.0\n" ] } ], "prompt_number": 84 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.21 Page no 113" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C1=4\n", "V=6\n", "C2=6\n", "\n", "#Calculation\n", "q1=C1*V\n", "q2=C2*V\n", "\n", "#Result\n", "print\"Charge on C1 is\",q1,\"micro C\"\n", "print\"Charge on C2 is\",q2,\"micro C\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Charge on C1 is 24 micro C\n", "Charge on C2 is 36 micro C\n" ] } ], "prompt_number": 88 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.22 Page no 114" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C2=5 #micro F\n", "C3=5 \n", "a=6\n", "C1=10\n", "V=3\n", "\n", "#Calculation\n", "C23=C2+C3\n", "V1=a/2.0\n", "q1=C1*V\n", "q23=C23*V\n", "q3=q23/2.0\n", "\n", "#Result\n", "print\"Charge on capacitor C1 is\",q1,\"micro F\"\n", "print\"Charge on capacitor C2 is\",q23,\"micro F\"\n", "print\"Charge on capacitor C3 is\",q3,\"micro F\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Charge on capacitor C1 is 30 micro F\n", "Charge on capacitor C2 is 30 micro F\n", "Charge on capacitor C3 is 15.0 micro F\n" ] } ], "prompt_number": 94 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.23 Page no 114" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C1=4*10**-6 #F\n", "V1=400 #V\n", "C2=2*10**-6\n", "q2=0\n", "\n", "#Calculation\n", "q1=C1*V1\n", "C=C1+C2\n", "q=q1+q2\n", "V=q/C\n", "\n", "#Result\n", "print\"Common potential is\", round(V,2),\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Common potential is 266.67 V\n" ] } ], "prompt_number": 101 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.24 Page no 114" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "V=12\n", "C1=8 #micro F\n", "C2=4\n", "\n", "#Calculation\n", "Va=V-C2\n", "Vb=V-C1\n", "V1=Va-Vb\n", "\n", "#Result\n", "print\"Potential difference is\", V1,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Potential difference is 4 V\n" ] } ], "prompt_number": 105 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.25 Page no 114" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "A=90*10**-4 #m**2\n", "d=2.5*10**-3 #m\n", "V=400 #Volts\n", "e=8.854*10**-12\n", "\n", "#Calculation\n", "C=(e*A)/d\n", "W=(C*V**2)/2.0\n", "\n", "#Result\n", "print\"Electrostatic energy is\", round(W*10**6,2)*10**-6,\"J\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Electrostatic energy is 2.55e-06 J\n" ] } ], "prompt_number": 112 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.26 Page no 114" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C=2000*10**-6 \n", "V=1.5 #V\n", "t=10.0**-4 #s\n", "\n", "#Calculation\n", "U=(C*V**2)/2.0\n", "P=U/t\n", "\n", "#Result\n", "print\"Energy stored in the capacitor is\", U*10**3,\"*10**-3 J\"\n", "print\"Power of the flash is\",P,\"W\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Energy stored in the capacitor is 2.25 *10**-3 J\n", "Power of the flash is 22.5 W\n" ] } ], "prompt_number": 119 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.27 Page no 115" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "C1=4*10**-6\n", "V1=200 #V\n", "C2=2*10**-6 # F\n", "\n", "#Calculation\n", "U1=(C1*V1**2)/2.0\n", "q=C1*V1\n", "C=C1+C2\n", "V=q/C\n", "U2=(C*V**2)/2.0\n", "U=U1-U2\n", "\n", "#Result\n", "print\"Electrostatic energy is\",round(U*10**2,2),\"*10**-2 J\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Electrostatic energy is 2.67 *10**-2 J\n" ] } ], "prompt_number": 129 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.28 Page no 115" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "K=6.0\n", "C=17.7*10**-12 #F\n", "V=100\n", "\n", "#Calculation\n", "C1=K*C\n", "q=C1*V\n", "V1=V/K\n", "q1=C1*V1\n", "\n", "#Result\n", "print\"(a) Charge on capacitor is\", q,\"C\"\n", "print\"(b) Charge on capacitor is\", q1,\"C\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Charge on capacitor is 1.062e-08 C\n", "(b) Charge on capacitor is 1.77e-09 C\n" ] } ], "prompt_number": 135 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.29 Page no 115" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "K=3\n", "e=8.854*10**-12 #C**2/N/m**2\n", "C=50*10**-12 #F\n", "a=10**7 #V/m\n", "b=10\n", "V=10**3\n", "\n", "#Calculation\n", "E=(a*b)/100.0\n", "q=C*V\n", "A=q/(e*K*E)\n", "\n", "#Result\n", "print\"Minimum area is\", round(A*10**4,1),\"cm**2\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Minimum area is 18.8 cm**2\n" ] } ], "prompt_number": 140 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Example 5.30 Page no 115" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "V=15*10**5 #V\n", "E=5.0*10**7 #V/m\n", "\n", "#Calculation\n", "r=V/E\n", "\n", "#Result\n", "print\"Minimum radius of the spherical shell is\", r*10**2,\"cm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Minimum radius of the spherical shell is 3.0 cm\n" ] } ], "prompt_number": 144 } ], "metadata": {} } ] }