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+{
+ "metadata": {
+ "name": "Rijwan",
+ "signature": "sha256:ccfeb26b31d807a5210cb280c22c39e23c0906566f59b1bedfeb5dfebe856c36"
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Ch-8 Oscillators"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 8.1, page 272 "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": true,
+ "input": [
+ "from __future__ import division\n",
+ "#Given data\n",
+ "A=50 #unitless\n",
+ "criteria = \"Barkhausen criterion for oscillator : Beta*A=1\"\n",
+ "Beta=1/A #unitless\n",
+ "print criteria,\"\\nFeedback Factor for oscillator : \",Beta"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Barkhausen criterion for oscillator : Beta*A=1 \n",
+ "Feedback Factor for oscillator : 0.02\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 8.2, page 279"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": true,
+ "input": [
+ "from __future__ import division\n",
+ "from math import pi\n",
+ "#Given data\n",
+ "L=100 #in uH\n",
+ "L=L*10**-6 #in H\n",
+ "f1=500 #in kHz\n",
+ "f1=f1*10**3 #in Hz\n",
+ "f2=1500 #in kHz\n",
+ "f2=f2*10**3 #in Hz\n",
+ "#Formula : f=1/(2*%pi*sqrt(L*C))\n",
+ "C1=1/(4*pi**2*f1**2*L) #in F\n",
+ "C2=1/(4*pi**2*f2**2*L) #in F\n",
+ "C1*=10**12 #pF\n",
+ "C2*=10**12 #pF\n",
+ "print \"Range of capacitor : %0.2f pf to %0.2f pf\" %(C2, C1)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Range of capacitor : 112.58 pf to 1013.21 pf\n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 8.3, page 285"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": true,
+ "input": [
+ "from __future__ import division\n",
+ "from math import pi \n",
+ "#Given data\n",
+ "R=100 #in kOhm\n",
+ "R=R*10**3 #in Ohm\n",
+ "C=0.01 #in uF\n",
+ "C=C*10**-6 #in F\n",
+ "fo=sqrt(6)/(2*pi*R*C) #in Hz\n",
+ "print \"Frequency of oscillation is %0.3f Hz\" %fo"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Frequency of oscillation is 389.848 Hz\n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 8.4, page 288"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": true,
+ "input": [
+ "from __future__ import division\n",
+ "from math import sqrt\n",
+ "#Given data\n",
+ "assumed = \"Assume alfa=sqrt(6) to find the gain.\"\n",
+ "alfa=sqrt(6) #unitless\n",
+ "Beta=1/(1-5*alfa**2) \n",
+ "criteria = \"Barkhausen critera : A*|Beta|>=1\"\n",
+ "Beta=-Beta #\n",
+ "A=1/Beta #unitless\n",
+ "print assumed,\"\\n\",criteria,\"\\nMinimum Gain of Amplifier must be \",A"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Assume alfa=sqrt(6) to find the gain. \n",
+ "Barkhausen critera : A*|Beta|>=1 \n",
+ "Minimum Gain of Amplifier must be 29.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 8.6, page 289"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": true,
+ "input": [
+ "from __future__ import division\n",
+ "from math import pi, sqrt\n",
+ "#Given data :\n",
+ "R1=50 #in kohm\n",
+ "R1=R1*10**3 #in ohm\n",
+ "C1=0.001 #in uF\n",
+ "C1=C1*10**-6 #in F\n",
+ "R2=1 #in kohm\n",
+ "R2=R2*10**3 #in ohm\n",
+ "C2=0.01 #in uF\n",
+ "C2=C2*10**-6 #in F\n",
+ "#Part (i)\n",
+ "#Formula : f=1/(2*pi*sqrt(C1*C2*R1*R2))\n",
+ "f=1/(2*pi*sqrt(C1*C2*R1*R2)) #in Hz\n",
+ "f/=1000 #kHz\n",
+ "print \"(i) Frequency of oscillations is %0.3f kHz\" %f\n",
+ "#Part (ii)\n",
+ "CurrentGain=1+C2/C1+R1/R2 #unitless\n",
+ "print \"(ii) Current Gain : \",CurrentGain"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(i) Frequency of oscillations is 7.118 kHz\n",
+ "(ii) Current Gain : 61.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 8.7, page 295"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": true,
+ "input": [
+ "from __future__ import division\n",
+ "from math import sqrt, pi\n",
+ "#Given data :\n",
+ "fmin=20 #in Hz\n",
+ "fmax=20 #in kHz\n",
+ "Cmin=30 #in pF\n",
+ "Cmax=300 #in pF\n",
+ "#Formula : fo=1/(2*pi*R*C))\n",
+ "R=1/(2*pi*fmin*Cmax*10**-12) # ohm\n",
+ "R/=10**6 # Mohm\n",
+ "print \"Required resistance is %0.3f Mohm\" %R"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Required resistance is 26.526 Mohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 21
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}