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diff --git a/Engineering_Physics/Chapter_10.ipynb b/Engineering_Physics/Chapter_10.ipynb new file mode 100755 index 00000000..39a354b1 --- /dev/null +++ b/Engineering_Physics/Chapter_10.ipynb @@ -0,0 +1,613 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter 10: Electromagnetism" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.15, Page 10.42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "n = 2000 # flux lines enter in given volume in Vm\n", + "n_ = 4000 # flux lines diverge from given volume in Vm\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculations\n", + "fi = n_ - n\n", + "q = e0 * fi\n", + "\n", + "#Result\n", + "print 'The total charge within volume(in C) = ',q" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The total charge within volume(in C) = 1.77e-08\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.16, Page 10.42" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "n = 20000 # flux lines entering in given volume in Vm\n", + "n_ = 45000 # flux lines entering out from given volume in Vm\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculations\n", + "fi = n_ - n\n", + "q = e0 * fi\n", + "\n", + "#Result\n", + "print \"The total charge enclosed by closed surface is %.3e C\"%q" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The total charge enclosed by closed surface is 2.212e-07 C\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.17, Page 10.43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "q = 13.5e-6 # charge enclosed at the centre of cube in C\n", + "l = 6 # length of the side of cube in cm\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculations\n", + "fi = q / e0\n", + "fi_ = fi / 6\n", + "q = e0 * fi\n", + "\n", + "#Results\n", + "print \"Electric flux through the whole volume of the cube is %.3e Nm^2/C\\nElectric flux through one face of the cube is %.2e Nm^2/C\"%(fi,fi_)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electric flux through the whole volume of the cube is 1.525e+06 Nm^2/C\n", + "Electric flux through one face of the cube is 2.54e+05 Nm^2/C\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.18, Page 10.43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "q = 11 # charge enclosed at the centre of cube in C\n", + "l = 5 # length of the side of cube in cm\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculation\n", + "fi_ = (q / e0) / 6\n", + "\n", + "#Result\n", + "print \" Electric flux through each surface of the cube = %.2e Nm^2/C\"%fi_" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " Electric flux through each surface of the cube = 2.07e+11 Nm^2/C\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.19, Page 10.43" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "q = 1e-8 # charge uniformly spread over metallic sphere in C\n", + "r = .1 #radius of sphere in m\n", + "d = 7 # distance of a point from centre of the sphere in cm\n", + "d_ = .5 # distance of another point from centre of the sphere in m\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#calculations\n", + "E1 = (1 / (4 * pi * e0) * (q / r**2))\n", + "E2 = 0 #because sphere is metallic\n", + "E3 = (1 / (4 * pi * e0) * (q / d_**2))\n", + "\n", + "#Result\n", + "print \"Electric field intensity-\\n(1) On the surface of the sphere = %.e N/C\\n(2) At first point = %d N/C\\n(3)At second point = %.2e N/C\"%(E1,E2,E3)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electric field intensity-\n", + "(1) On the surface of the sphere = 9e+03 N/C\n", + "(2) At first point = 0 N/C\n", + "(3)At second point = 3.60e+02 N/C\n" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.20, Page 10.44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "q = 1.6e-19 # charge on a proton in C\n", + "d = 1e-10 # distance of a point from proton in m\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculation\n", + "E = (1 / (4 * pi * e0)) * (q / d**2)\n", + "\n", + "#Result\n", + "print \"Electric field = %.2e V/m\"%E" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Electric field = 1.44e+11 V/m\n" + ] + } + ], + "prompt_number": 6 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.21, Page 10.44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given \n", + "v = 1000 # potential through which alpha particle accelerated in V\n", + "q = 3.2e-19 # charge on an alpha particle in C\n", + "e0 = 8.85e-12 # electric permittivity of space\n", + "\n", + "#calculation\n", + "E = q * v\n", + "\n", + "#Result\n", + "print \"Energy gained by alpha particle = %.1e J\"%E" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Energy gained by alpha particle = 3.2e-16 J\n" + ] + } + ], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.22, Page 10.44" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "q = 1.6e-19 # charge on a proton in C\n", + "d = 1e-10 # distance of a point from proton in m\n", + "d_ = 2e-11 # distance of another point from proton in m\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#calculations\n", + "v = (1 / (4 * pi * e0)) * (q / d)#calculation for potential at first point\n", + "E = -q * v#calculation for energy at first point in J\n", + "delta_v = (1 / (4 * pi * e0)) * q * ((1 / d_) - (1 / d))#calculation for potential difference between points\n", + "\n", + "#Result\n", + "print \"Potential energy at first point = %.1f eV\\nPotential difference between points = %.1f V\"%(E/q,delta_v)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Potential energy at first point = -14.4 eV\n", + "Potential difference between points = 57.5 V\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.23, Page 10.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi, ceil\n", + "\n", + "# Given \n", + "q = 1.5e-6 # charge in C\n", + "v = 30 # potential of a surface in V\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculation\n", + "r = (1 / (4 * pi * e0)) * (q / v)\n", + "\n", + "#Result\n", + "print \"Radius of equipotential surface = %d m\"%ceil(r)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Radius of equipotential surface = 450 m\n" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.24, Page 10.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import pi\n", + "\n", + "# Given \n", + "p = 3.8e26 # power radiated by sun in W\n", + "r = 7e8 # radius of sun in m\n", + "e0 = 8.85e-12 # permittivity of space\n", + "\n", + "#Calculation\n", + "s = p / (4 * pi * r**2)\n", + "\n", + "#Result\n", + "print \"The value of poynting vector at the surface of the sun = %.3e W/m^2\"%s" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The value of poynting vector at the surface of the sun = 6.171e+07 W/m^2\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.25, Page 10.45" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#Given\n", + "Se = (2*4.2)/(60*10**-4) #J/m^2-sec\n", + "c = 3*10**8 #m/s\n", + "res = 1.4*10**11 #m\n", + "rs = 7*10**7 #W/m^2\n", + "\n", + "#Calculations\n", + "Prad_e = Se/c\n", + "Ss = Se*((res/rs)**2)\n", + "Prad_s = Ss/c\n", + "\n", + "#Results\n", + "print \"Radiation pressure at the surface of the earth =%.2e N/m^2\"%Prad_e\n", + "print \"Radiation pressure at the surface of the sun =%.3e N/m^2\"%Prad_s" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Radiation pressure at the surface of the earth =4.67e-06 N/m^2\n", + "Radiation pressure at the surface of the sun =1.867e+01 N/m^2\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.28, Page 10.47" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given \n", + "s = 2 # energy received by the earth in cal/cm^2.min\n", + "e0 = 8.85e-12 # electric permittivity of space\n", + "mu0 = 1.2567e-6 # magnetic permittivity of space\n", + "c = 3e8 # speed of light in meter/sec\n", + "\n", + "#calculations\n", + "r = sqrt(mu0 / e0)\n", + "P = s*4.2/(60*1e-4)\n", + "E = sqrt(P*r)\n", + "H = E/r\n", + "\n", + "#Result\n", + "print \"Magnitude of electric field vector = %.1f v/m\\nMagnitude of magnetic field vector = %.3f A/m\"%(E * sqrt(2),H*sqrt(2))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Magnitude of electric field vector = 1027.2 v/m\n", + "Magnitude of magnetic field vector = 2.726 A/m\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.29, Page 10.48" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given \n", + "H = 1 # magnitude of magnetic field vector A/m\n", + "e0 = 8.85e-12 # electric permittivity of space\n", + "mu0 = 1.2567e-6 # magnetic permittivity of space\n", + "c = 3e8 # speed of light in meter/sec\n", + "\n", + "#Calculations\n", + "r = sqrt(mu0 / e0) # ratio of E,H\n", + "E = H * r\n", + "\n", + "#Result\n", + "print \"Magnitude of electric field vector = %.2f v/m.\"%E" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Magnitude of electric field vector = 376.83 v/m.\n" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.31, Page 10.48" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt, pi\n", + "\n", + "# Given \n", + "p = 1000 # power of lamp in W\n", + "d = 2 # distance of a point from lamp in meter\n", + "e0 = 8.85e-12 # electric permittivity of space\n", + "mu0 = 1.2567e-6 # magnetic permittivity of space\n", + "c = 3e8 # speed of light in meter/sec\n", + "\n", + "#Calculations\n", + "s = p / (4 * pi * d**2) #calculation for \n", + "r = sqrt(mu0 / e0) # ratio of E,H\n", + "E = sqrt(s * r)#calculation for average value of intensity of electric field of radiation\n", + "\n", + "#Result\n", + "print \"Average value of the intensity of electric field of radiation = %.2f v/m.\"%E" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Average value of the intensity of electric field of radiation = 86.58 v/m.\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 10.32, Page 10.49" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from math import sqrt\n", + "\n", + "# Given \n", + "k = 81 # relative permittivity of water \n", + "c = 3e8 # speed of light in meter/sec\n", + "\n", + "#Calculations\n", + "mu = sqrt(k)\n", + "v = c / mu\n", + "\n", + "#Result\n", + "print \"Refractive index of distilled water is %d \\nSpeed of light in water is %.2e m/sec\"%(mu,v)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Refractive index of distilled water is 9 \n", + "Speed of light in water is 3.33e+07 m/sec\n" + ] + } + ], + "prompt_number": 5 + } + ], + "metadata": {} + } + ] +}
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