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diff --git a/modern_physics_by_Satish_K._Gupta/chap6.ipynb b/modern_physics_by_Satish_K._Gupta/chap6.ipynb new file mode 100644 index 00000000..2c3272c0 --- /dev/null +++ b/modern_physics_by_Satish_K._Gupta/chap6.ipynb @@ -0,0 +1,1695 @@ +{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:9ba957b16289f27dba06e59c72667002157ed6d6f12727710ff725257f8649eb"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 6 Current electricity"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.1 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "I=300*10**-3\n",
+ "e=1.6*10**-19 #C\n",
+ "t=60 #S\n",
+ "\n",
+ "#Calculation\n",
+ "q=I*t\n",
+ "n=q/e\n",
+ "\n",
+ "#Result\n",
+ "print\"Number of electron passed is\", n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Number of electron passed is 1.125e+20\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.2 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "e=1.6*10**-19 #C\n",
+ "v=6.8*10**15 #revolution/s\n",
+ "r=0.51*10**-10 #m\n",
+ "\n",
+ "#Calculation\n",
+ "I=e*v\n",
+ "\n",
+ "#Result\n",
+ "print\"Equivalent current is\", I*10**3,\"*10**-3 A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Equivalent current is 1.088 *10**-3 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.3 Page no 191 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "I=10 #A\n",
+ "n=9*10**28 #/m**3\n",
+ "A=10.0**-4 #m**2\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "Vd=I/(n*e*A)\n",
+ "\n",
+ "#Result\n",
+ "print\"Drift velocity is\", round(Vd*10**6,2)*10**-6,\"m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Drift velocity is 6.94e-06 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.4 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=8.5*10**28 #/m**3\n",
+ "I=3 #A\n",
+ "A=2.0*10**-6 #m**2\n",
+ "l=3 #m\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "Vd=I/(n*e*A)\n",
+ "t=I/Vd\n",
+ "\n",
+ "#Result\n",
+ "print\"Drift velocity of the electron is\", round(Vd*10**4,3),\"*10**-4 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Drift velocity of the electron is 1.103 *10**-4 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.5 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "A=10**-7 #m**2\n",
+ "I=1 #A\n",
+ "K=6.023*10**23\n",
+ "w=63.5\n",
+ "d=9*10**3 #Kg/m**3\n",
+ "\n",
+ "#Calculation\n",
+ "a=(K/w)*1000\n",
+ "n=a*d\n",
+ "Vd=I/(n*e*A)\n",
+ "\n",
+ "#Result\n",
+ "print\"Average drift velocity is\", round(Vd*10**4,2),\"*10**-4 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Average drift velocity is 7.32 *10**-4 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 30
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.6 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=5 #Volt\n",
+ "l=0.1 #m\n",
+ "vd=2.5*10**-4 #m/s\n",
+ "\n",
+ "#Calculation\n",
+ "E=V/l\n",
+ "u=vd/E\n",
+ "\n",
+ "#Result\n",
+ "print\"Electron mobility is\", u,\"m**2/V/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Electron mobility is 5e-06 m**2/V/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 34
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.7 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=3 #Volt\n",
+ "l=0.2 #m\n",
+ "A=10**-6 #m**2\n",
+ "n=8.5*10**28 #/m**3\n",
+ "u=4.5*10**-6 #m**2/V/s\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "E=V/l\n",
+ "I=n*A*u*E*e\n",
+ "\n",
+ "#Result\n",
+ "print\"Current through the wire is\",round(I,2),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current through the wire is 0.92 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 37
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.8 Page no 191"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "I=1.8 #A\n",
+ "A=0.5*10**-6 #m**2\n",
+ "n=8.8*10**28\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "j=I/A\n",
+ "vd=j/(n*e)\n",
+ "\n",
+ "#Result\n",
+ "print\"Drift velocity is\", round(vd*10**4,2),\"*10**-4 m/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Drift velocity is 2.56 *10**-4 m/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 45
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.9 Page no 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=1.5 #V\n",
+ "n=8.4*10**28 #/m**3\n",
+ "l=0.2 #m\n",
+ "A=0.3*10**-6 #m**2\n",
+ "I=2.4 #A\n",
+ "m=9.1*10**-31 #Kg\n",
+ "e=1.6*10**-19\n",
+ "\n",
+ "#Calculation\n",
+ "E=V/l\n",
+ "j=I/A\n",
+ "t=m*j/(n*e**2*E)\n",
+ "\n",
+ "#Result\n",
+ "print\"Average relaxation time is \", round(t*10**16,2)*10**-16,\"s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Average relaxation time is 4.51e-16 s\n"
+ ]
+ }
+ ],
+ "prompt_number": 53
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.10 Page no 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=200 #V\n",
+ "R=100.0 #ohm\n",
+ "t=1\n",
+ "\n",
+ "#Calculation\n",
+ "I=V/R\n",
+ "q=I*t\n",
+ "n=q/e\n",
+ "\n",
+ "#Result\n",
+ "print\"Number of electrons is\", n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Number of electrons is 1.25e+19\n"
+ ]
+ }
+ ],
+ "prompt_number": 55
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.11 Page no 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=2 #ohm\n",
+ "l=1 #m\n",
+ "d=4*10**-4 #m\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "A=(math.pi*d**2)/4.0\n",
+ "a=(R*A)/l\n",
+ "\n",
+ "#Result\n",
+ "print\"Resistivity of the material is\", round(a*10**7,3)*10**-7,\"ohm m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistivity of the material is 2.513e-07 ohm m\n"
+ ]
+ }
+ ],
+ "prompt_number": 62
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.12 Page no 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "m=0.45 #Kg\n",
+ "R=0.14 #ohm\n",
+ "a=1.78*10**-8 #ohm m\n",
+ "l=1.99\n",
+ "d=8.93*10**3\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "l=(math.sqrt(R*m/(a*d)))/10.0\n",
+ "r=math.sqrt(m/(math.pi*l*d))\n",
+ "\n",
+ "#Result\n",
+ "print\"Radius is\", round(r*10**3,2),\"mm\"\n",
+ "print\"Length is\", round(l,2),\"m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Radius is 2.84 mm\n",
+ "Length is 1.99 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 76
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.13 Page no 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=5\n",
+ "\n",
+ "#Calculation\n",
+ "R1=4*R\n",
+ "\n",
+ "#Result\n",
+ "print\"New resistance is\",R1,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "New resistance is 20 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 78
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.14 Page no 192"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "l=3\n",
+ "A=0.02*10**-6 #m**2\n",
+ "R=2 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "a=l/(R*A)\n",
+ "\n",
+ "#Result\n",
+ "print\"Electrical conductivity is\", a*10**-7,\"*10**7 S/m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Electrical conductivity is 7.5 *10**7 S/m\n"
+ ]
+ }
+ ],
+ "prompt_number": 82
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.15 Page no 193"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=1.8 #V\n",
+ "I=1.2 #A\n",
+ "l=3 #m\n",
+ "A=5.4*10**-6 #m**2\n",
+ "\n",
+ "#Calculation\n",
+ "R=V/I\n",
+ "G=1/R\n",
+ "a=l/(R*A)\n",
+ "\n",
+ "#Result\n",
+ "print\"Conductance is\",round(G,2),\"S\"\n",
+ "print\"Conductivity is\", round(a*10**-5,1),\"*10**5 S/m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Conductance is 0.67 S\n",
+ "Conductivity is 3.7 *10**5 S/m\n"
+ ]
+ }
+ ],
+ "prompt_number": 92
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.16 Page no 193"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=2.1 #ohm\n",
+ "a1=300.0 #K\n",
+ "a2=373.0\n",
+ "R2=2.7 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "A=(R2-R1)/(R1*(a2-a1))\n",
+ "\n",
+ "#Result\n",
+ "print\"Temperature coefficient is\", round(A*10**3,3),\"*10**-3 /K\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Temperature coefficient is 3.914 *10**-3 /K\n"
+ ]
+ }
+ ],
+ "prompt_number": 99
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.17 Page no 193"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "a1=50 #degree\n",
+ "R1=6.0 #ohm\n",
+ "a2=100 #degree\n",
+ "R=7 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "a=(R-R1)/(R1*(a2-a1))\n",
+ "R0=R1/(1+(a*a1))\n",
+ "\n",
+ "#Result\n",
+ "print\"Mean temperature coefficient is\", round(a,4),\"degree/C\"\n",
+ "print\"Resistance of the conductor is\",round(R0,3),\"W\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Mean temperature coefficient is 0.0033 degree/C\n",
+ "Resistance of the conductor is 5.143 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 110
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.18 Page no 193"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "V=230 #v\n",
+ "a=27 #degree C\n",
+ "I1=3.2 #A\n",
+ "I2=2.8 #A\n",
+ "a1=1.70*10**-4 #degree/C\n",
+ "\n",
+ "#Calculation\n",
+ "R1=V/I1\n",
+ "R2=V/I2\n",
+ "a2=a+((R2-R1)/(R1*a1))\n",
+ "\n",
+ "#Result\n",
+ "print\"Steady temperature is\", round(a2,2),\"degree C\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Steady temperature is 867.34 degree C\n"
+ ]
+ }
+ ],
+ "prompt_number": 117
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.21 Page no 193"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=1 #ohm\n",
+ "R2=2 \n",
+ "R3=3\n",
+ "E=12 #V\n",
+ "\n",
+ "#Calculation\n",
+ "Rs=R1+R2+R3\n",
+ "I=E/Rs\n",
+ "R11=I*R1\n",
+ "R12=I*R2\n",
+ "R13=I*R3\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Total resistance of the combination is\",Rs,\"ohm\"\n",
+ "print\"(b) Potential drop across R1 is\",R11,\"V\"\n",
+ "print\" Potential drop across R2 is\",R12,\"V\"\n",
+ "print\" Potential drop across R3 is\",R13,\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Total resistance of the combination is 6 ohm\n",
+ "(b) Potential drop across R1 is 2 V\n",
+ " Potential drop across R2 is 4 V\n",
+ " Potential drop across R3 is 6 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 125
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.22 Page no 193"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=2.0 #ohm\n",
+ "R2=4.0 #ohm\n",
+ "R3=5.0 \n",
+ "E=20 #V\n",
+ "\n",
+ "#calculation\n",
+ "Rp=1/(1/R1+1/R2+1/R3)\n",
+ "I=E/Rp\n",
+ "I1=E/R1\n",
+ "I2=E/R2\n",
+ "I3=E/R3\n",
+ "\n",
+ "print\"(a) Toatl resisatnce is\", round(Rp,2),\"ohm\"\n",
+ "print\"(b) Current through R1 is\",I1,\"A\"\n",
+ "print\"Current through R2 is\",I2,\"A\"\n",
+ "print\"Current through R3 is\",I3,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Toatl resisatnce is 1.05 ohm\n",
+ "(b) Current through R1 is 10.0 A\n",
+ "Current through R2 is 5.0 A\n",
+ "Current through R3 is 4.0 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 134
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.24 Page no 194"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=6\n",
+ "R1=2.0\n",
+ "\n",
+ "#calculation\n",
+ "n=R/R1\n",
+ "\n",
+ "#Result\n",
+ "print\"Number of resistance is\",n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Number of resistance is 3.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 135
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.25 Page no 194"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=9.0 #ohm\n",
+ "R2=5.0\n",
+ "R3=3.0\n",
+ "R4=7.0\n",
+ "\n",
+ "#Calculation\n",
+ "R11=R1+R2\n",
+ "R22=R3+R4\n",
+ "R=1/(1/R11+1/R22+1/R22)\n",
+ "\n",
+ "#Result\n",
+ "print\"Equivalent resistance is\",round(R,2),\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Equivalent resistance is 3.68 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 141
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.26 Page no 194"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=3 #ohm\n",
+ "R2=3\n",
+ "\n",
+ "#Calculation\n",
+ "R11=R1+R2\n",
+ "R22=(R11*R11)/(R11+R11)\n",
+ "R=R11*R1/(R11+R1)\n",
+ "\n",
+ "#Result\n",
+ "print\"Effective resistance is\", R,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Effective resistance is 2 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 148
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.27 Page no 195"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=30.0 #ohm\n",
+ "R2=30.0\n",
+ "E=2 #V\n",
+ "\n",
+ "#Calculation\n",
+ "R11=R1+R2\n",
+ "R=R11*R1/(R11+R1)\n",
+ "I=E/R\n",
+ "\n",
+ "#Result\n",
+ "print\"Current through the cell is\",I,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current through the cell is 0.1 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 151
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.28 Page no 195"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Rl=500.0 #ohm\n",
+ "E=50 #V\n",
+ "Rac=2000.0 #ohm\n",
+ "Rab=500.0 \n",
+ "\n",
+ "#Calculation\n",
+ "Rbc=Rac-Rab\n",
+ "R11=1/(1/Rbc+1/Rl)\n",
+ "I=E/(Rab+R11)\n",
+ "V=E-(I*Rab)\n",
+ "I1=E/Rac\n",
+ "Rbc1=40/I1\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Potential difference across the load is\", round(V,2),\"V\"\n",
+ "print\"(b) Resistance is\",Rbc1,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Potential difference across the load is 21.43 V\n",
+ "(b) Resistance is 1600.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 165
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.29 Page no 195"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=3 #ohm\n",
+ "E=9 #V\n",
+ "\n",
+ "#Calcuation\n",
+ "R=R1+R1+R1\n",
+ "I=E/R\n",
+ "I1=I/4.0\n",
+ "\n",
+ "#Result\n",
+ "print\"Total resistance is\",R,\"ohm\"\n",
+ "print\"Current is\",I1,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Total resistance is 9 ohm\n",
+ "Current is 0.25 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 169
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.30 Page no 196"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=1 #ohm\n",
+ "R2=1 \n",
+ "r=2/3.0 #ohm\n",
+ "E=1 #V\n",
+ "\n",
+ "#Calculation\n",
+ "R11=R1*R2/(R1+R2)\n",
+ "R=1/(1/R1+1/R2+1/R1)\n",
+ "I=E/(R+r)\n",
+ "\n",
+ "#Result\n",
+ "print\"Current drawn from the cell is\", I,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current drawn from the cell is 1.5 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 174
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.31 Page no 196"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R=10.0 #ohm\n",
+ "r=3.33\n",
+ "E=15\n",
+ "\n",
+ "#Calculation\n",
+ "Rp=1/(1/R+(1/(R+R)))\n",
+ "R1=R+Rp+R\n",
+ "I=E/(R1+r)\n",
+ "V=I*Rp\n",
+ "I1=V/(R+R)\n",
+ "I2=V/R\n",
+ "\n",
+ "#Result\n",
+ "print\"Current flow through the main circuit is\", round(I,1),\"A\"\n",
+ "print\"Current through QRS is\",round(I1,3),\"A\"\n",
+ "print\"Current through QS is\",round(I2,3),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current flow through the main circuit is 0.5 A\n",
+ "Current through QRS is 0.167 A\n",
+ "Current through QS is 0.333 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 199
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.32 Page no 196"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=2 #ohm\n",
+ "R2=3 \n",
+ "R3=2.8\n",
+ "E=6 #V\n",
+ "\n",
+ "#calculation\n",
+ "R=(R1*R2/(R1+R2))+R3\n",
+ "I=E/R\n",
+ "\n",
+ "#Result\n",
+ "print\"Current in steady state is\", round(I,1),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current in steady state is 1.6 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 206
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.33 Page no 197"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=10 #v\n",
+ "r=3 #ohm\n",
+ "I=0.5 #A\n",
+ "\n",
+ "#Calculation\n",
+ "R=(E/I)-r\n",
+ "V=I*R\n",
+ "\n",
+ "#Result\n",
+ "print\"Resistance of the resistor is\", R,\"ohm\"\n",
+ "print\"Terminal voltage is\",V,\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Resistance of the resistor is 17.0 ohm\n",
+ "Terminal voltage is 8.5 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 212
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.35 Page no 197"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=3.0 #ohm\n",
+ "R2=4.0\n",
+ "R3=6.0\n",
+ "r=2/3.0\n",
+ "E=2 #V\n",
+ "\n",
+ "#Calculation\n",
+ "Rp=1/(1/R1+1/R2+1/R3)\n",
+ "R=Rp+r\n",
+ "I=E/R\n",
+ "V=I*Rp\n",
+ "I1=V/R1\n",
+ "\n",
+ "#Result\n",
+ "print\"Current drawn from the cell is\", I,\"A\"\n",
+ "print\"Current through 3 Ohm resistance is\",round(I1,2),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current drawn from the cell is 1.0 A\n",
+ "Current through 3 Ohm resistance is 0.44 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.36 Page no 197"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=8\n",
+ "R=3.0\n",
+ "r=1.0\n",
+ "\n",
+ "#Calculation\n",
+ "I=E/(R+r)\n",
+ "I1=I/2.0\n",
+ "\n",
+ "#Result\n",
+ "print\"Current from the battery is\",I,\"A\"\n",
+ "print\"Current through AC and ABC is\",I1,\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current from the battery is 2.0 A\n",
+ "Current through AC and ABC is 1.0 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.37 Page no 198"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=12 #V\n",
+ "R2=8 #ohm\n",
+ "r=1 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "R1=-((E/I)-R2-r)\n",
+ "\n",
+ "#Result\n",
+ "print\"Value of resistance is\", R1,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of resistance is 3.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.38 Page no 198"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E1=20 #V\n",
+ "r1=1 #ohm\n",
+ "E2=8 #Volt\n",
+ "r2=2 #ohm\n",
+ "R1=12.0\n",
+ "R2=6.0\n",
+ "R3=4.0\n",
+ "\n",
+ "#Calculation\n",
+ "E=E1-E2\n",
+ "R11=1/(1/R1+1/R2+1/R3)\n",
+ "R=R11+r1+r2+5\n",
+ "I=E/R\n",
+ "I1=I-1\n",
+ "V1=E1-(I*r1)\n",
+ "V2=E2+(I*r2)\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Current in the circuit is\", I,\"A\"\n",
+ "print\"(b) Current in the resister is\", I1,\"A\"\n",
+ "print\"(c) Potential difference across 12 V battery is\", V1,\"V\"\n",
+ "print\" Potential difference across 8 V battery is\",V2,\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Current in the circuit is 1.2 A\n",
+ "(b) Current in the resister is 0.2 A\n",
+ "(c) Potential difference across 12 V battery is 18.8 V\n",
+ " Potential difference across 8 V battery is 10.4 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 34
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.39 Page no 198"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=2 #V\n",
+ "r=0.015 #ohm\n",
+ "R=8.5\n",
+ "\n",
+ "#Calculation\n",
+ "E1=E*6\n",
+ "r1=r*6\n",
+ "I=E1/(R+r1)\n",
+ "V=I*R\n",
+ "\n",
+ "#Result\n",
+ "print\"Current drawn from the supply is\", round(I,3),\"A\"\n",
+ "print\"Terminal voltage is\",round(V,3),\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current drawn from the supply is 1.397 A\n",
+ "Terminal voltage is 11.874 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 41
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.40 Page no 198"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=4 #V\n",
+ "I=1.5 #A\n",
+ "R=6 #ohm\n",
+ "\n",
+ "#Calculation\n",
+ "E1=3*E\n",
+ "r=((E1/I)-R)/3.0\n",
+ "V=E-(I*r)\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Internal resistance is\", round(r,2),\"ohm\"\n",
+ "print\"(b) Terminal voltage is\",V,\"Volt\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Internal resistance is 0.67 ohm\n",
+ "(b) Terminal voltage is 3.0 Volt\n"
+ ]
+ }
+ ],
+ "prompt_number": 48
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.41 Page no 199"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=15.0 #ohm\n",
+ "R2=15.0\n",
+ "E=2\n",
+ "V=1.6\n",
+ "\n",
+ "#Calculation\n",
+ "R=R1*R2/(R1+R2)\n",
+ "r=(((E/V)-1)*R)*4\n",
+ "\n",
+ "#Result\n",
+ "print\"Internal resistance is\", r,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Internal resistance is 7.5 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 53
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.42 Page no 199"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=1\n",
+ "a=2\n",
+ "\n",
+ "#Calculation\n",
+ "r=(a*E*(a-E))/(a*E*(a-E))\n",
+ "\n",
+ "#Result\n",
+ "print\"The internal resistance is\",r,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The internal resistance is 1 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 66
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.43 Page no 199"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "E=2 #V\n",
+ "r=1.5 #ohm\n",
+ "R=10 #ohm\n",
+ "r1=1.5\n",
+ "r2=1.5\n",
+ "\n",
+ "#Calculation\n",
+ "E1=2*E\n",
+ "w=r1+r2\n",
+ "A=1/(1/w+1/w)\n",
+ "B=R+A\n",
+ "I=E1/B\n",
+ "IR=I*R\n",
+ "\n",
+ "#Result\n",
+ "print\"The potential difference across external resistance is\",round(IR,2),\"V\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The potential difference across external resistance is 3.48 V\n"
+ ]
+ }
+ ],
+ "prompt_number": 63
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.44 Page no 200"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "n=2.7*10**18\n",
+ "N=1.0*10**18\n",
+ "e=1.6*10**-19\n",
+ "V=230 #V\n",
+ "\n",
+ "#Calculation\n",
+ "I=(n+N)*(e)\n",
+ "R=V/I\n",
+ "\n",
+ "#Result\n",
+ "print\"The effective resistance of the tube is\",round(R,1),\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The effective resistance of the tube is 388.5 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 73
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.47 Page no 200"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "X=1\n",
+ "a=3\n",
+ "E1=12\n",
+ "r=0.5\n",
+ "\n",
+ "#Calculation\n",
+ "import math\n",
+ "X1=X+math.sqrt(a)\n",
+ "I=E1/(X1+r)\n",
+ "\n",
+ "#Result\n",
+ "print\"Current drawn is\", round(I,3),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Current drawn is 3.713 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 99
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 6.48 Page no 200"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "R1=6\n",
+ "R2=3.0\n",
+ "R3=5\n",
+ "E=24 #V\n",
+ "I=3 #A\n",
+ "\n",
+ "#Calculation\n",
+ "Rp=(R1*R2)/(R1+R2)\n",
+ "R=R3+Rp+r\n",
+ "r=R-(R3+Rp)\n",
+ "V=I*Rp\n",
+ "I1=V/R1\n",
+ "I2=V/R2\n",
+ "R11=R2+R3+r\n",
+ "I11=E/R11\n",
+ "\n",
+ "#Result\n",
+ "print\"(a) Internal resistance is\", r,\"ohm\"\n",
+ "print\" Current I1 is\",I1,\"A and I2 is\",I2,\"A\"\n",
+ "print\"(b) Current in the circuit is\",round(I11,2),\"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) Internal resistance is 1.0 ohm\n",
+ " Current I1 is 1.0 A and I2 is 2.0 A\n",
+ "(b) Current in the circuit is 2.67 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 91
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
\ No newline at end of file |