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diff --git a/Modern_Electronics_Communication/chapter12.ipynb b/Modern_Electronics_Communication/chapter12.ipynb new file mode 100755 index 00000000..79f6b2af --- /dev/null +++ b/Modern_Electronics_Communication/chapter12.ipynb @@ -0,0 +1,401 @@ +{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 12 Transmission Lines"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.1 Page no 573"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "L=73.75*10**-9 #inductance, H\n",
+ "C=29.5*10**-12 #capacitance\n",
+ "x=5280\n",
+ "\n",
+ "#calculation\n",
+ "import math\n",
+ "Z=math.sqrt(L/C)\n",
+ "z1=math.sqrt((x*L)/(x*C))\n",
+ "\n",
+ "#result\n",
+ "print\"characterstics impedence for 1-ft =\",Z,\"ohm\"\n",
+ "print\"characterstics impedence for 1-mi = \",z1,\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "characterstics impedence for 1-ft = 50.0 ohm\n",
+ "characterstics impedence for 1-mi = 50.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.2 Page no 574"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "a=2 #parallel wire line\n",
+ "b=2.35 #coaxial line\n",
+ "D=0.285\n",
+ "d=0.08\n",
+ "e=1.0 #dielectric constant of insulating material relative to air\n",
+ "\n",
+ "#calculation\n",
+ "import math\n",
+ "z=(276/e)*math.log10(2*2)\n",
+ "z1=(138/e)*math.log10(b)\n",
+ "z2=(138/math.sqrt(2.3)*math.log10(D/d))\n",
+ "\n",
+ "#result\n",
+ "print\"(a) characterstics impedence for a parallel wire = \",round(z,0),\"ohm\"\n",
+ "print\"(b) characterstics impedence for a air dielectric coaxial line= \",round(z1,1),\"ohm\"\n",
+ "print\"(c) characterstics impedence = \",round(z2,0),\"ohm\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) characterstics impedence for a parallel wire = 166.0 ohm\n",
+ "(b) characterstics impedence for a air dielectric coaxial line= 51.2 ohm\n",
+ "(c) characterstics impedence = 50.0 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.3 Page no 579"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "L=73.75*10**-9 #inductance, H\n",
+ "C=29.5*10**-12 #capacitance\n",
+ "d=1 #distance\n",
+ "\n",
+ "#calculation\n",
+ "import math\n",
+ "t=math.sqrt(L*C)\n",
+ "Vp=d/t\n",
+ "\n",
+ "#result\n",
+ "print\"the delay introduced is t =\",round(t,10),\"s\"\n",
+ "print\"The velocity of propagation is \",round(Vp*10**-8,3),\"*10**8 ft/s\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "the delay introduced is t = 1.5e-09 s\n",
+ "The velocity of propagation is 6.78 *10**8 ft/s\n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.4 Page no 580"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "v=2.07*10**8 #velocity\n",
+ "c=3.0*10**8 #velocity of light\n",
+ "Er=2.3 #relative dielectric constant\n",
+ "\n",
+ "#calculation\n",
+ "import math\n",
+ "vf=(v/c) #velocity factor\n",
+ "vf1=1/math.sqrt(Er)\n",
+ "\n",
+ "#result\n",
+ "print\"The velocity = \",vf,\"m/s\"\n",
+ "print\"vf = \",round(vf1,3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The velocity = 0.69 m/s\n",
+ "vf = 0.659\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.5 Page no 581"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "c=3*10**8 #speed of light\n",
+ "f=100.0*10**6 #frequency of signal\n",
+ "x=2.07*10**8 #velocity of wave propagation\n",
+ "\n",
+ "#Calcultion\n",
+ "w=c/f #wavelength in free-space\n",
+ "w1=x/f #wavelength while traveling through an RG-8A/U coaxial cable\n",
+ "\n",
+ "#Result\n",
+ "print\"In free space, lambda =\",w,\"m\"\n",
+ "print\"While traveling through RG-8A/U cable, lamda= \",w1,\"m\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "In free space, lambda = 3.0 m\n",
+ "While traveling through RG-8A/U cable, lamda= 2.07 m\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.7 Page no 592"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#Given\n",
+ "Zl=300.0 #load impedance\n",
+ "Zo=50.0 #characteristic impedance\n",
+ "v=2.07*10**8 #velocity in RG-8A/U cable\n",
+ "f=27.0*10**6 #operating frequency of citizen's band transmitter\n",
+ "Po=4 #output power of transmitter\n",
+ "l=10 #length of RG-8A/U cable\n",
+ "Rl=300 #input resistance of antenna\n",
+ "\n",
+ "#calculation\n",
+ "T=((Zl-Zo)/(Zl+Zo)) #reflection coefficient\n",
+ "h=v/f #length of cable in wavelength\n",
+ "le=l/h #electrical length\n",
+ "x=Rl/Zo #VSWR\n",
+ "y=((1+T)/(1-T)) #VSWR\n",
+ "rp=(T)**2*Po #reflected power\n",
+ "Pl=Po-rp #load power\n",
+ "#part(a): The reflection coefficient\n",
+ "\n",
+ "#result\n",
+ "print\"(a) reflection cofficient = \",round(T,2)\n",
+ "print\"(b) electrical length =\",round(le,2),\"lambda\"\n",
+ "print\"(c) VSWR = \",y\n",
+ "print\"(d) the reflected voltage = \",round(Pl,2),\"W\"\n",
+ "\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(a) reflection cofficient = 0.71\n",
+ "(b) electrical length = 1.3 lambda\n",
+ "(c) VSWR = 6.0\n",
+ "(d) the reflected voltage = 1.96 W\n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.8 Page no 597"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "Zo=100.0 #characteristic impedance\n",
+ "j=1j\n",
+ "Zl = 200-j*150 #load impedance\n",
+ "l=4.3 #length of transmission line\n",
+ "\n",
+ "#calculation\n",
+ "x=200/Zo\n",
+ "y=150/Zo\n",
+ "a=0.4*Zo\n",
+ "b=0.57*Zo\n",
+ "\n",
+ "#result\n",
+ "print\"Zin = \",a,\"Ohm\",\"+j*\",b,\"Ohm\"\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Zin = 40.0 Ohm +j* 57.0 Ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.9 Page no 599"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "import cmath\n",
+ "j=1j\n",
+ "RL=120 #load resistance from smith chart\n",
+ "ZL=complex(75,50) #load impedance\n",
+ "Z0=50.0 #characteristic impedance\n",
+ "\n",
+ "#calculation\n",
+ "import math\n",
+ "z1=ZL/Z0\n",
+ "z=2.4 #normalized z at a point that is purely resistive\n",
+ "ar=z*Z0 #actual resistance\n",
+ "x=math.sqrt(Z0*RL)\n",
+ "\n",
+ "#Result\n",
+ "print\"zl= \",z1\n",
+ "#VSWR,zin,R can be found out from smith chart manually\n",
+ "print\"characteristic impedance is =\",round(x,2),\"ohm\" \n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "zl= (1.5+1j)\n",
+ "characteristic impedance is = 77.46 ohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 12.10 Page no 601"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "#given\n",
+ "import cmath\n",
+ "Z0=75.0 #characteristic impedance\n",
+ "j=1j\n",
+ "ZL=complex(50,-100) #load impedance\n",
+ "\n",
+ "#Calculation\n",
+ "zL=ZL/Z0\n",
+ "#Result\n",
+ "print\"zL =\",zL\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "zL = (0.666666666667-1.33333333333j)\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}
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