Merge pull request #2 from debashisdeb/master

Removed Problem Statements Completely

1 files changed, 530 insertions, 534 deletions

diff --git a/Microwave_and_Radar_Engineering/Chapter_3.ipynb b/Microwave_and_Radar_Engineering/Chapter_3.ipynb
index 033e0551..116264a3 100644
--- a/Microwave_and_Radar_Engineering/Chapter_3.ipynb
+++ b/Microwave_and_Radar_Engineering/Chapter_3.ipynb
@@ -1,535 +1,531 @@
-{

- "metadata": {

-  "name": "Chapter 3"

- },

- "nbformat": 3,

- "nbformat_minor": 0,

- "worksheets": [

-  {

-   "cells": [

-    {

-     "cell_type": "heading",

-     "level": 1,

-     "metadata": {},

-     "source": [

-      "Chapter 3: Transmission Lines"

-     ]

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example number 3.1, Page number 47"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "#Variable declaration\n",

-      "Zo = 100       #o/p impedance(Ohms)\n",

-      "s = 5          #VSWR\n",

-      "\n",

-      "#Calculations\n",

-      "Zmax = Zo*s\n",

-      "\n",

-      "#Results\n",

-      "print \"Terminating impedance = \",Zmax,\"Ohms\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Terminating impedance =  500 Ohms\n"

-       ]

-      }

-     ],

-     "prompt_number": 2

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.2, Page number 47"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "import math\n",

-      "import cmath\n",

-      "\n",

-      "#Varaible declaration \n",

-      "R = 8             #resistance(Ohms)\n",

-      "L = 2*10**-3      #inductance(H/km)\n",

-      "C = 0.002*10**-6  #capacitance(F)\n",

-      "G = 0.07*10**-6   #conductance(s/km)\n",

-      "f = 2*10**3       #frequency(Hz)\n",

-      "Vs = 2             #input signal(V)\n",

-      "l = 500.           #line length(km)\n",

-      "\n",

-      "#Calculations\n",

-      "w = 2*math.pi*f\n",

-      "x = complex(R,w*L)\n",

-      "y = complex(G,w*C)\n",

-      "Zo = cmath.sqrt(x/y)\n",

-      "gamma = cmath.sqrt(x*y)\n",

-      "Is = Vs/Zo.real\n",

-      "Il = Is*cmath.exp(-1*gamma*l)\n",

-      "P = Il**2*Zo.real\n",

-      "\n",

-      "#Results\n",

-      "print \"Characteristic impedance =\",Zo,\"Ohms\"\n",

-      "print \"Attenuation constant =\",round(gamma.real,6),\"NP/km\"\n",

-      "print \"Phase constant =\", round(gamma.imag,6),\"rad/km\"\n",

-      "print \"Power delivered to the load =\", round((abs(P)/1E-6),2), \"uW\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Characteristic impedance = (1012.50018135-155.813417548j) Ohms\n",

-        "Attenuation constant = 0.003987 NP/km\n",

-        "Phase constant = 0.025436 rad/km\n",

-        "Power delivered to the load = 73.31 uW\n"

-       ]

-      }

-     ],

-     "prompt_number": 5

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.3, Page number 48"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "import math\n",

-      "\n",

-      "#Varaible declaration\n",

-      "f = 2*10**3       #frequency(Hz)\n",

-      "B = 0.02543       #phase constant(rad/km)\n",

-      "\n",

-      "#Calculations\n",

-      "w = 2*math.pi*f\n",

-      "Vp = w/B\n",

-      "\n",

-      "#Results\n",

-      "print \"Phase velocity =\",round((Vp/1E+3),2),\"km/sec\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Phase velocity = 494.16 km/sec\n"

-       ]

-      }

-     ],

-     "prompt_number": 24

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.4, Page number 48"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "a) Current drawn from generator\n",

-      "b) Power delivered to the load\n",

-      "\n",

-      "import cmath\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "f = 37.5*10**6       #frequency(Hz)\n",

-      "V = 200              #Voltage signal(Vrms)\n",

-      "r = 200              #internal resistance(Ohms)\n",

-      "Zo = 200             #characteristic impedance(Ohms)\n",

-      "l = 10               #line length(m)\n",

-      "Zl = 100             #resistive load(Ohms)\n",

-      "c = 3*10**8          #velocity of propagation(m/s)\n",

-      "\n",

-      "#Calculations\n",

-      "#Part a\n",

-      "lamda = c/f\n",

-      "Bl = (5*math.degrees(math.pi))/4\n",

-      "x = complex(Zl,(Zo*math.tan(Bl)))\n",

-      "y = complex(Zo,(Zl*math.tan(Bl)))\n",

-      "Zi = Zo*(x/y)\n",

-      "Vs = (Zi.real*Zo)/(Zi.real+Zo)\n",

-      "Is = Zo/(Zi.real+Zo)\n",

-      "\n",

-      "#Part b\n",

-      "P = Vs*Is\n",

-      "\n",

-      "#Part c\n",

-      "Il = math.sqrt(P/Zl)\n",

-      "\n",

-      "#Results\n",

-      "print \"Please note that the solution given in the textbook is incorrect.Hence the difference in answers\\n\"\n",

-      "print \"Current drawn from generator is\",round(Is,2),\"A\" \n",

-      "print \"Power delivered to the load is\",round(P,2),\"W\"\n",

-      "print \"Current flowing through the load is\",round(Il,3),\"A\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Please note that the solution given in the textbook is incorrect.Hence the difference in answers\n",

-        "\n",

-        "Current drawn from generator is 0.41 A\n",

-        "Power delivered to the load is 48.47 W\n",

-        "Current flowing through the load is 0.696 A\n"

-       ]

-      }

-     ],

-     "prompt_number": 35

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.5, Page number 50"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "import cmath\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "zo = 50              #characteristic impedance(Ohms)\n",

-      "f = 300*10**6        #frequency(Hz)\n",

-      "zl = complex(50,50)  #terminating load(Ohms)\n",

-      "c = 3*10**8          #velocity of propagation(m/s)\n",

-      "\n",

-      "#Calculations\n",

-      "lamda = c/f\n",

-      "rho = (zl-zo)/(zl+zo)\n",

-      "phi = cmath.phase(rho)\n",

-      "s = (1+abs(rho))/(1-abs(rho))\n",

-      "\n",

-      "#Results\n",

-      "print \"Reflection co-efficient =\",round(abs(rho),3),\"with phase =\",round(math.degrees(phi),2)\n",

-      "print \"VSWR =\",round(s,2)"

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        " Reflection co-efficient = 0.447 with phase = 63.43\n",

-        "VSWR = 2.62\n"

-       ]

-      }

-     ],

-     "prompt_number": 46

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.6, Page number 50"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "Zl = 100.           #load resistance(Ohms)\n",

-      "Zo = 600.           #characteristic impedance(Ohms)\n",

-      "f = 100*10**6       #frequency(Hz)\n",

-      "c = 3*10**8         #velocity of propagation(m/s)\n",

-      "\n",

-      "#Calculations\n",

-      "lamda = c/f\n",

-      "l = (lamda*math.atan(math.sqrt(Zl/Zo)))/(2*math.pi)\n",

-      "l_dash = (lamda*math.atan(math.sqrt((Zl*Zo)/(Zo-Zl))))/(2*math.pi)\n",

-      "\n",

-      "#Results\n",

-      "print \"The position of the stub is\", round(l,3),\"m\\n\"\n",

-      "print \"Please note that the solution for l_dash given in the textbook is incorrect\"\n",

-      "print \"Length of stub is\",round(l_dash,3),\"m\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "The position of the stub is 0.185 m\n",

-        "\n",

-        "Please note that the solution for l_dash given in the textbook is incorrect\n",

-        "Length of stub is 0.707 m\n"

-       ]

-      }

-     ],

-     "prompt_number": 17

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.7, Page number 50"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "import cmath\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "s = 3.2            #VSWR\n",

-      "Xmin = 0.237       #minimum voltage(V)\n",

-      "Zo = 50            #characteristic impedance(Ohms)\n",

-      "\n",

-      "#Calculations\n",

-      "q = math.tan(math.degrees(2*math.pi*Xmin))\n",

-      "x = complex(1,-(s*q))\n",

-      "y = complex(s, -q)\n",

-      "Zl = Zo*(x/y)\n",

-      "\n",

-      "#Result\n",

-      "print \"Please note that the solution given in the textbook is incorrect.Hence the difference in answers\\n\"\n",

-      "print \"Terminating impedance =\", Zl,\"Ohms\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Please note that the solution given in the textbook is incorrect.Hence the difference in answers\n",

-        "\n",

-        "Terminating impedance = (19.6572514629-23.7885950214j) Ohms\n"

-       ]

-      }

-     ],

-     "prompt_number": 27

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.8, Page number 51"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "a)VSWR\n",

-      "b) Position of first Vmin and Vmax\n",

-      "c) Vmin and Vmax\n",

-      "\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "Zo = 50.               #characteristic impedance(Ohms)\n",

-      "Zl = 100.              #load resistance(Ohms)\n",

-      "f = 300*10**3          #frequency(Hz)\n",

-      "Pl = 50*10**-3         #load power(W)\n",

-      "c = 3*10**8            #velocity of propagation(m/s)\n",

-      "\n",

-      "#Calculations\n",

-      "lamda = c/f\n",

-      "\n",

-      "#Part a\n",

-      "rho = (Zl-Zo)/(Zl+Zo)\n",

-      "s = (1+abs(rho))/(1-abs(rho))\n",

-      "\n",

-      "#Part b\n",

-      "#Since real Zl>Zo, first Vmax is located at the load\n",

-      "Vmin_pos = lamda/4\n",

-      "\n",

-      "#Part c\n",

-      "Vmax = math.sqrt(Pl*Zl)\n",

-      "Vmin = Vmax/s\n",

-      "\n",

-      "#Part d\n",

-      "Zin_at_Vmin = Zo/s\n",

-      "Zin_at_Vmax = Zo*s\n",

-      "\n",

-      "\n",

-      "#Results\n",

-      "print \"VSWR = \", s\n",

-      "print \"First Vmax is loacted at load and first Vmin is located at\", Vmin_pos,\"m from the load\"\n",

-      "print \"Vmin = \",round(Vmin,2),\"V and Vmax = \",round(Vmax,2),\"V\"\n",

-      "print \"Impedance at Vmin is \", Zin_at_Vmin,\"Ohm and impedance at Vmax is\",Zin_at_Vmax,\"Ohm\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "VSWR =  2.0\n",

-        "First Vmax is loacted at load and first Vmin is located at 250 m from the load\n",

-        "Vmin =  1.12 V and Vmax =  2.24 V\n",

-        "Impedance at Vmin is  25.0 Ohm and impedance at Vmax is 100.0 Ohm\n"

-       ]

-      }

-     ],

-     "prompt_number": 6

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.9, Page number 52"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "a)Transmission loss\n",

-      "b)Reflection loss\n",

-      "\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "Zo = 600.           #characteristic impedance(Ohms)\n",

-      "Zs = 50             #source impedance(Ohms)\n",

-      "l = 200             #length of line(m)\n",

-      "Zl = 500.           #load resistance(Ohms)\n",

-      "\n",

-      "#Calculations\n",

-      "rho = (Zl-Zo)/(Zl+Zo)\n",

-      "\n",

-      "#Part a\n",

-      "ref_l = math.log10(1/(1-((abs(rho))**2)))\n",

-      "\n",

-      "#Part b\n",

-      "#Since, the line is lossless,\n",

-      "att_l = 0\n",

-      "trans_l = ref_l+att_l\n",

-      "\n",

-      "#Part c\n",

-      "ret_l = math.log10(abs(rho))\n",

-      "\n",

-      "#Results\n",

-      "print \"Reflection loss =\",round(ref_l,4),\"dB\"\n",

-      "print \"Transmission loss =\",round(trans_l,4),\"dB\"\n",

-      "print \"Return loss =\",round(ret_l,3),\"dB (Calculation error in the textbook)\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "Reflection loss = 0.0036 dB\n",

-        "Transmission loss = 0.0036 dB\n",

-        "Return loss = -1.041 dB (Calculation error in the textbook)\n"

-       ]

-      }

-     ],

-     "prompt_number": 55

-    },

-    {

-     "cell_type": "heading",

-     "level": 2,

-     "metadata": {},

-     "source": [

-      "Example 3.10, Page number 52"

-     ]

-    },

-    {

-     "cell_type": "code",

-     "collapsed": false,

-     "input": [

-      "\n",

-      "import cmath\n",

-      "import math\n",

-      "\n",

-      "#Variable declaration\n",

-      "l = 10                           #length of line(km)\n",

-      "zsc = complex(1895.47,2234.29)  \n",

-      "zoc = complex(216.99,-143.37)\n",

-      "f = 1*10**3                        #frequency(Hz)\n",

-      "\n",

-      "#Calculations\n",

-      "zo = cmath.sqrt(zsc*zoc)\n",

-      "x = cmath.sqrt(zsc/zoc)\n",

-      "t = (1+x)/(1-x)\n",

-      "gamma = cmath.log(t)/(l*2)\n",

-      "B = gamma.imag\n",

-      "w = 2*math.pi*f\n",

-      "Vp = w/B\n",

-      "\n",

-      "#Results\n",

-      "print \"There is calculation mistake throughout the problem in the textbook\\n\"\n",

-      "print \"Characteristic impedance =\",zo,\"Ohms\"\n",

-      "print \"Phase velocity =\",round((Vp/1E+3),3),\"*10^3 m/sec\""

-     ],

-     "language": "python",

-     "metadata": {},

-     "outputs": [

-      {

-       "output_type": "stream",

-       "stream": "stdout",

-       "text": [

-        "There is calculation mistake throughout the problem in the textbook\n",

-        "\n",

-        "Characteristic impedance = (864.190238563+123.274392427j) Ohms\n",

-        "Phase velocity = 45.994 *10^3 m/sec\n"

-       ]

-      }

-     ],

-     "prompt_number": 27

-    }

-   ],

-   "metadata": {}

-  }

- ]

+{
+ "metadata": {
+  "name": "",
+  "signature": "sha256:dfa1112ea6b0d370508845e5b6861c8e0c5d67e82e0a759d3e8e0f96252d9846"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+  {
+   "cells": [
+    {
+     "cell_type": "heading",
+     "level": 1,
+     "metadata": {},
+     "source": [
+      "Chapter 3: Transmission Lines"
+     ]
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example number 3.1, Page number 47"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "#Variable declaration\n",
+      "Zo = 100       #o/p impedance(Ohms)\n",
+      "s = 5          #VSWR\n",
+      "\n",
+      "#Calculations\n",
+      "Zmax = Zo*s\n",
+      "\n",
+      "#Results\n",
+      "print \"Terminating impedance = \",Zmax,\"Ohms\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Terminating impedance =  500 Ohms\n"
+       ]
+      }
+     ],
+     "prompt_number": 2
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.2, Page number 47"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import math\n",
+      "import cmath\n",
+      "\n",
+      "#Varaible declaration \n",
+      "R = 8             #resistance(Ohms)\n",
+      "L = 2*10**-3      #inductance(H/km)\n",
+      "C = 0.002*10**-6  #capacitance(F)\n",
+      "G = 0.07*10**-6   #conductance(s/km)\n",
+      "f = 2*10**3       #frequency(Hz)\n",
+      "Vs = 2             #input signal(V)\n",
+      "l = 500.           #line length(km)\n",
+      "\n",
+      "#Calculations\n",
+      "w = 2*math.pi*f\n",
+      "x = complex(R,w*L)\n",
+      "y = complex(G,w*C)\n",
+      "Zo = cmath.sqrt(x/y)\n",
+      "gamma = cmath.sqrt(x*y)\n",
+      "Is = Vs/Zo.real\n",
+      "Il = Is*cmath.exp(-1*gamma*l)\n",
+      "P = Il**2*Zo.real\n",
+      "\n",
+      "#Results\n",
+      "print \"Characteristic impedance =\",Zo,\"Ohms\"\n",
+      "print \"Attenuation constant =\",round(gamma.real,6),\"NP/km\"\n",
+      "print \"Phase constant =\", round(gamma.imag,6),\"rad/km\"\n",
+      "print \"Power delivered to the load =\", round((abs(P)/1E-6),2), \"uW\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Characteristic impedance = (1012.50018135-155.813417548j) Ohms\n",
+        "Attenuation constant = 0.003987 NP/km\n",
+        "Phase constant = 0.025436 rad/km\n",
+        "Power delivered to the load = 73.31 uW\n"
+       ]
+      }
+     ],
+     "prompt_number": 5
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.3, Page number 48"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import math\n",
+      "\n",
+      "#Varaible declaration\n",
+      "f = 2*10**3       #frequency(Hz)\n",
+      "B = 0.02543       #phase constant(rad/km)\n",
+      "\n",
+      "#Calculations\n",
+      "w = 2*math.pi*f\n",
+      "Vp = w/B\n",
+      "\n",
+      "#Results\n",
+      "print \"Phase velocity =\",round((Vp/1E+3),2),\"km/sec\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Phase velocity = 494.16 km/sec\n"
+       ]
+      }
+     ],
+     "prompt_number": 24
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.4, Page number 48"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "f = 37.5*10**6       #frequency(Hz)\n",
+      "V = 200              #Voltage signal(Vrms)\n",
+      "r = 200              #internal resistance(Ohms)\n",
+      "Zo = 200             #characteristic impedance(Ohms)\n",
+      "l = 10               #line length(m)\n",
+      "Zl = 100             #resistive load(Ohms)\n",
+      "c = 3*10**8          #velocity of propagation(m/s)\n",
+      "\n",
+      "#Calculations\n",
+      "#Part a\n",
+      "lamda = c/f\n",
+      "Bl = (5*math.degrees(math.pi))/4\n",
+      "x = complex(Zl,(Zo*math.tan(Bl)))\n",
+      "y = complex(Zo,(Zl*math.tan(Bl)))\n",
+      "Zi = Zo*(x/y)\n",
+      "Vs = (Zi.real*Zo)/(Zi.real+Zo)\n",
+      "Is = Zo/(Zi.real+Zo)\n",
+      "\n",
+      "#Part b\n",
+      "P = Vs*Is\n",
+      "\n",
+      "#Part c\n",
+      "Il = math.sqrt(P/Zl)\n",
+      "\n",
+      "#Results\n",
+      "print \"Please note that the solution given in the textbook is incorrect.Hence the difference in answers\\n\"\n",
+      "print \"Current drawn from generator is\",round(Is,2),\"A\" \n",
+      "print \"Power delivered to the load is\",round(P,2),\"W\"\n",
+      "print \"Current flowing through the load is\",round(Il,3),\"A\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Please note that the solution given in the textbook is incorrect.Hence the difference in answers\n",
+        "\n",
+        "Current drawn from generator is 0.41 A\n",
+        "Power delivered to the load is 48.47 W\n",
+        "Current flowing through the load is 0.696 A\n"
+       ]
+      }
+     ],
+     "prompt_number": 35
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.5, Page number 50"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "zo = 50              #characteristic impedance(Ohms)\n",
+      "f = 300*10**6        #frequency(Hz)\n",
+      "zl = complex(50,50)  #terminating load(Ohms)\n",
+      "c = 3*10**8          #velocity of propagation(m/s)\n",
+      "\n",
+      "#Calculations\n",
+      "lamda = c/f\n",
+      "rho = (zl-zo)/(zl+zo)\n",
+      "phi = cmath.phase(rho)\n",
+      "s = (1+abs(rho))/(1-abs(rho))\n",
+      "\n",
+      "#Results\n",
+      "print \"Reflection co-efficient =\",round(abs(rho),3),\"with phase =\",round(math.degrees(phi),2)\n",
+      "print \"VSWR =\",round(s,2)"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        " Reflection co-efficient = 0.447 with phase = 63.43\n",
+        "VSWR = 2.62\n"
+       ]
+      }
+     ],
+     "prompt_number": 46
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.6, Page number 50"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "Zl = 100.           #load resistance(Ohms)\n",
+      "Zo = 600.           #characteristic impedance(Ohms)\n",
+      "f = 100*10**6       #frequency(Hz)\n",
+      "c = 3*10**8         #velocity of propagation(m/s)\n",
+      "\n",
+      "#Calculations\n",
+      "lamda = c/f\n",
+      "l = (lamda*math.atan(math.sqrt(Zl/Zo)))/(2*math.pi)\n",
+      "l_dash = (lamda*math.atan(math.sqrt((Zl*Zo)/(Zo-Zl))))/(2*math.pi)\n",
+      "\n",
+      "#Results\n",
+      "print \"The position of the stub is\", round(l,3),\"m\\n\"\n",
+      "print \"Please note that the solution for l_dash given in the textbook is incorrect\"\n",
+      "print \"Length of stub is\",round(l_dash,3),\"m\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "The position of the stub is 0.185 m\n",
+        "\n",
+        "Please note that the solution for l_dash given in the textbook is incorrect\n",
+        "Length of stub is 0.707 m\n"
+       ]
+      }
+     ],
+     "prompt_number": 17
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.7, Page number 50"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "s = 3.2            #VSWR\n",
+      "Xmin = 0.237       #minimum voltage(V)\n",
+      "Zo = 50            #characteristic impedance(Ohms)\n",
+      "\n",
+      "#Calculations\n",
+      "q = math.tan(math.degrees(2*math.pi*Xmin))\n",
+      "x = complex(1,-(s*q))\n",
+      "y = complex(s, -q)\n",
+      "Zl = Zo*(x/y)\n",
+      "\n",
+      "#Result\n",
+      "print \"Please note that the solution given in the textbook is incorrect.Hence the difference in answers\\n\"\n",
+      "print \"Terminating impedance =\", Zl,\"Ohms\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Please note that the solution given in the textbook is incorrect.Hence the difference in answers\n",
+        "\n",
+        "Terminating impedance = (19.6572514629-23.7885950214j) Ohms\n"
+       ]
+      }
+     ],
+     "prompt_number": 27
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.8, Page number 51"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "Zo = 50.               #characteristic impedance(Ohms)\n",
+      "Zl = 100.              #load resistance(Ohms)\n",
+      "f = 300*10**3          #frequency(Hz)\n",
+      "Pl = 50*10**-3         #load power(W)\n",
+      "c = 3*10**8            #velocity of propagation(m/s)\n",
+      "\n",
+      "#Calculations\n",
+      "lamda = c/f\n",
+      "\n",
+      "#Part a\n",
+      "rho = (Zl-Zo)/(Zl+Zo)\n",
+      "s = (1+abs(rho))/(1-abs(rho))\n",
+      "\n",
+      "#Part b\n",
+      "#Since real Zl>Zo, first Vmax is located at the load\n",
+      "Vmin_pos = lamda/4\n",
+      "\n",
+      "#Part c\n",
+      "Vmax = math.sqrt(Pl*Zl)\n",
+      "Vmin = Vmax/s\n",
+      "\n",
+      "#Part d\n",
+      "Zin_at_Vmin = Zo/s\n",
+      "Zin_at_Vmax = Zo*s\n",
+      "\n",
+      "\n",
+      "#Results\n",
+      "print \"VSWR = \", s\n",
+      "print \"First Vmax is loacted at load and first Vmin is located at\", Vmin_pos,\"m from the load\"\n",
+      "print \"Vmin = \",round(Vmin,2),\"V and Vmax = \",round(Vmax,2),\"V\"\n",
+      "print \"Impedance at Vmin is \", Zin_at_Vmin,\"Ohm and impedance at Vmax is\",Zin_at_Vmax,\"Ohm\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "VSWR =  2.0\n",
+        "First Vmax is loacted at load and first Vmin is located at 250 m from the load\n",
+        "Vmin =  1.12 V and Vmax =  2.24 V\n",
+        "Impedance at Vmin is  25.0 Ohm and impedance at Vmax is 100.0 Ohm\n"
+       ]
+      }
+     ],
+     "prompt_number": 6
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.9, Page number 52"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "Zo = 600.           #characteristic impedance(Ohms)\n",
+      "Zs = 50             #source impedance(Ohms)\n",
+      "l = 200             #length of line(m)\n",
+      "Zl = 500.           #load resistance(Ohms)\n",
+      "\n",
+      "#Calculations\n",
+      "rho = (Zl-Zo)/(Zl+Zo)\n",
+      "\n",
+      "#Part a\n",
+      "ref_l = math.log10(1/(1-((abs(rho))**2)))\n",
+      "\n",
+      "#Part b\n",
+      "#Since, the line is lossless,\n",
+      "att_l = 0\n",
+      "trans_l = ref_l+att_l\n",
+      "\n",
+      "#Part c\n",
+      "ret_l = math.log10(abs(rho))\n",
+      "\n",
+      "#Results\n",
+      "print \"Reflection loss =\",round(ref_l,4),\"dB\"\n",
+      "print \"Transmission loss =\",round(trans_l,4),\"dB\"\n",
+      "print \"Return loss =\",round(ret_l,3),\"dB (Calculation error in the textbook)\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "Reflection loss = 0.0036 dB\n",
+        "Transmission loss = 0.0036 dB\n",
+        "Return loss = -1.041 dB (Calculation error in the textbook)\n"
+       ]
+      }
+     ],
+     "prompt_number": 55
+    },
+    {
+     "cell_type": "heading",
+     "level": 2,
+     "metadata": {},
+     "source": [
+      "Example 3.10, Page number 52"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "\n",
+      "import cmath\n",
+      "import math\n",
+      "\n",
+      "#Variable declaration\n",
+      "l = 10                           #length of line(km)\n",
+      "zsc = complex(1895.47,2234.29)  \n",
+      "zoc = complex(216.99,-143.37)\n",
+      "f = 1*10**3                        #frequency(Hz)\n",
+      "\n",
+      "#Calculations\n",
+      "zo = cmath.sqrt(zsc*zoc)\n",
+      "x = cmath.sqrt(zsc/zoc)\n",
+      "t = (1+x)/(1-x)\n",
+      "gamma = cmath.log(t)/(l*2)\n",
+      "B = gamma.imag\n",
+      "w = 2*math.pi*f\n",
+      "Vp = w/B\n",
+      "\n",
+      "#Results\n",
+      "print \"There is calculation mistake throughout the problem in the textbook\\n\"\n",
+      "print \"Characteristic impedance =\",zo,\"Ohms\"\n",
+      "print \"Phase velocity =\",round((Vp/1E+3),3),\"*10^3 m/sec\""
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "output_type": "stream",
+       "stream": "stdout",
+       "text": [
+        "There is calculation mistake throughout the problem in the textbook\n",
+        "\n",
+        "Characteristic impedance = (864.190238563+123.274392427j) Ohms\n",
+        "Phase velocity = 45.994 *10^3 m/sec\n"
+       ]
+      }
+     ],
+     "prompt_number": 27
+    }
+   ],
+   "metadata": {}
+  }
+ ]
 }
\ No newline at end of file