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+{
+ "metadata": {
+ "name": "",
+ "signature": "sha256:de195a4faed398c9714bc27769421926f24c448f7ad7f1d4cb04dd3cfbb18334"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "2: Electromagnetic Theory"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.1, Page number 46"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "\n",
+ "#importing modules\n",
+ "from __future__ import division\n",
+ "from sympy import *\n",
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "C = 10; #Capacitance of the capacitor(pF)\n",
+ "#given V=0.2*sin(120*math.pi*t) in volts\n",
+ "\n",
+ "#Calculation\n",
+ "C=C*10**-12; #Capacitance of the capacitor(F)\n",
+ "x, y, z, t = symbols('x y z t')\n",
+ "k, m, n = symbols('k m n', integer=True)\n",
+ "f, g, h = symbols('f g h', cls=Function)\n",
+ "#I = C*dV/dt\n",
+ "#let dV/dt be a\n",
+ "a=diff(0.2*sin(120*math.pi*t),t) #dV/dt\n",
+ "#value of dV/dt is 75.398223686155*cos(376.991118430775*t)\n",
+ "#for cosine function peak value occurs when 120*math.pi*t = 0\n",
+ "#therefore value of dV/dt becomes d = 75.398223686155\n",
+ "d = 75.398223686155; #value of dV/dt \n",
+ "I=C*d; #displacement current(A)\n",
+ "\n",
+ "#Result\n",
+ "print \"value of dV/dt is\",a\n",
+ "print \"displacement current is\",I, \"A\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "value of dV/dt is 75.398223686155*cos(376.991118430775*t)\n",
+ "displacement current is 7.53982236862e-10 A\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.2, Page number 46"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "\n",
+ "#importing modules\n",
+ "from __future__ import division\n",
+ "from sympy import *\n",
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "epsilon_r = 1; #Relative electrical permittivity of free space\n",
+ "epsilon_0 = 8.854*10**-12; #Absolute electrical permittivity of free space(F/m)\n",
+ "#given E=sin(120*math.pi*t) in volts\n",
+ "\n",
+ "#Calculation\n",
+ "x, y, z, t = symbols('x y z t')\n",
+ "k, m, n = symbols('k m n', integer=True)\n",
+ "f, g, h = symbols('f g h', cls=Function)\n",
+ "#J2 = epsilon*dE/dt\n",
+ "epsilon=epsilon_0*epsilon_r;\n",
+ "#let dE/dt be a\n",
+ "a=diff(sin(120*math.pi*t),t) #dE/dt\n",
+ "#value of dE/dt is 376.991118430775*cos(376.991118430775*t)\n",
+ "#for cosine function peak value occurs when 120*math.pi*t = 0\n",
+ "#therefore value of dE/dt becomes d = 376.991118430775\n",
+ "d = 376.991118430775; #value of dE/dt\n",
+ "J2=epsilon*d; #displacement current density(A/m**2)\n",
+ "\n",
+ "#Result\n",
+ "print \"value of dE/dt is\",a\n",
+ "print \"The peak value of displacement current density is\",J2, \"A/m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "value of dE/dt is 376.991118430775*cos(376.991118430775*t)\n",
+ "The peak value of displacement current density is 3.33787936259e-09 A/m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.3, Page number 47 (Theoritical proof)"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.4, Page number 47"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "\n",
+ "#importing modules\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "p = 60; #Power rating of bulb(W)\n",
+ "d = 0.5; #Distance from the bulb(m)\n",
+ "\n",
+ "#Calculation\n",
+ "A=4*math.pi*d**2; #area(m**2)\n",
+ "P = p/A; #Value of Poynting vector(W/m**2)\n",
+ "P = math.ceil(P*100)/100; #rounding off value of P to 1 decimal\n",
+ "\n",
+ "#Result\n",
+ "print \"The value of Poynting vector is\",P, \"W/m**2\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The value of Poynting vector is 19.1 W/m**2\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example number 2.5, Page number 47"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "\n",
+ "#importing modules\n",
+ "from __future__ import division\n",
+ "import math\n",
+ "\n",
+ "#Variable declaration\n",
+ "E_peak = 6; #Peak value of electric field intensity(V/m)\n",
+ "c = 3*10**8; #Speed of electromagnetic wave in free space(m/s)\n",
+ "mew_0 = 4*math.pi*10**-7; #Absolute permeability of free space(Tm/A)\n",
+ "epsilon_0 = 8.854*10**-12; #Absolute permittivity of free space(F/m)\n",
+ "mew_r = 1; #Relative permeability of medium\n",
+ "epsilon_r = 3; #Relative permittivity of the medium\n",
+ "\n",
+ "#Calculation\n",
+ "v = c/math.sqrt(mew_r*epsilon_r); #Wave velocity(m/s)\n",
+ "v = v/10**8;\n",
+ "v = math.ceil(v*10**4)/10**4; #rounding off the value of v to 4 decimals\n",
+ "eta = math.sqrt((mew_0/epsilon_0)*(mew_r/epsilon_r)); #Intrinsic impedance of the medium(ohm)\n",
+ "eta = math.ceil(eta*10)/10; #rounding off the value of v to 1 decimal\n",
+ "H_P = E_peak/eta; #Peak value of the magnetic intensity(A/m)\n",
+ "H_P = H_P*10**2;\n",
+ "H_P = math.ceil(H_P*10**2)/10**2; #rounding off the value of v to 2 decimals\n",
+ "\n",
+ "#Result\n",
+ "print \"The wave velocity is\",v,\"*10**8 m/s\"\n",
+ "print \"The intrinsic impedance of the medium is\",eta, \"ohm\"\n",
+ "print \"The peak value of the magnetic intensity is\",H_P,\"*10**-2 A/m\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The wave velocity is 1.7321 *10**8 m/s\n",
+ "The intrinsic impedance of the medium is 217.6 ohm\n",
+ "The peak value of the magnetic intensity is 2.76 *10**-2 A/m\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2024-12-20 17:13:28 +0000