{
 "cells": [
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 13 Waveform Generators"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.1 Pg 378"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the frequency selective element resistor is = 6.50  K ohm \n",
      "The feedback resistance is = 188.4  K ohm\n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "from __future__ import division\n",
    "# to design RC phase shift oscillator for the oscillation frequency f = 1 KHz\n",
    "f =1 # # KHz\n",
    "C = 0.01 # # uF\n",
    "\n",
    "# The oscillation frequency of practical RC phase shift oscillator is defined as\n",
    "#w = 1/(sqrt(6)*R*C)#\n",
    "\n",
    "# gain of practical RC phase shift oscillator is\n",
    "#A = R1/R = 29                                           equation 1\n",
    "# the frequency selective element resistor\n",
    "#R = 1/(sqrt(6)*w*C)#\n",
    "R = 1/(sqrt(6)*2*pi*f*C)#\n",
    "print 'the frequency selective element resistor is = %0.2f'%R,' K ohm '\n",
    "\n",
    "# The feedback resistance\n",
    "R1 = 29*R #                                                # from equation 1\n",
    "print 'The feedback resistance is = %0.1f'%R1,' K ohm'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.2 Pg 379"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the oscillator frequency of practical RC phase shift oscillator f is = 0.52  KHz \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "from __future__ import division\n",
    "# to determine the oscillaton frequency of the phase shift oscillator\n",
    "C = 0.05 #  # uF\n",
    "R = 2.5 #  # K ohm\n",
    "\n",
    "# the oscillator frequency of practical RC phase shift oscillator f\n",
    "f = 1/(2*pi*(sqrt(6)*(R*C)))#\n",
    "print 'the oscillator frequency of practical RC phase shift oscillator f is = %0.2f'%f,' KHz '"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.3 Pg 380"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the oscillator frequency of practical RC phase shift oscillator f is = 6.63  kHz \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "from __future__ import division\n",
    "# to calculate the frequency of a wein bridge oscillator\n",
    "C = 2400*10**-12 #  # F\n",
    "R = 10*10**3 #  # ohm\n",
    "\n",
    "# the oscillator frequency of practical RC phase shift oscillator f\n",
    "f = 1/(2*pi*R*C)/1e3#\n",
    "print 'the oscillator frequency of practical RC phase shift oscillator f is = %0.2f'%f,' kHz '"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.4 Pg 380"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the resistor R is = 15.9  K ohm \n",
      "The resistor R2 value is = 20.00  K ohm \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "from __future__ import division\n",
    "# to design the wien bridge oscillator for the oscillation frequency f = 1 KHz\n",
    "f = 1 # # K ohm\n",
    "C = 0.01 #  # uF\n",
    "\n",
    "\n",
    "# the frequency f is define as\n",
    "# f = 1/(2*pi*R*C)#\n",
    "\n",
    "# the resistor R is\n",
    "R = 1/(2*pi*f*C)#\n",
    "print 'the resistor R is = %0.1f'%R,' K ohm '\n",
    "\n",
    "# the loop gain of the wien bridge oscillator is unity which is defined as\n",
    "# A = (1+(R2/R1))*(1/3) = 1 #\n",
    "#  R2/R1 = 2 #\n",
    "R1 = 10 #  # K ohm we assume\n",
    "R2 = 2*R1 #\n",
    "print 'The resistor R2 value is = %0.2f'%R2,' K ohm '"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.5 Pg 382"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the frequency of wien bridge oscillator f is = 159.155  Hz \n"
     ]
    }
   ],
   "source": [
    "from math import sqrt, pi\n",
    "from __future__ import division\n",
    "# to calculate the frequency of a wein bridge oscillator\n",
    "C = 0.05*10**-6 #  # F\n",
    "R = 20*10**3 #  # ohm\n",
    "R1 = 10*10**3 #  # ohm\n",
    "R2 = 20*10**3 #  #ohm\n",
    "\n",
    "# the frequency of wien bridge oscillator f\n",
    "f = 1/(2*pi*R*C)#\n",
    "print 'the frequency of wien bridge oscillator f is = %0.3f'%f,' Hz '"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.6 Pg 382"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The frequency of the astable multivibrator is = 0.87/(C*R)\n"
     ]
    }
   ],
   "source": [
    "from sympy import symbols, log, N\n",
    "R, C = symbols('R C')\n",
    "# Determine the frequency response of the astable multivibrator circuit\n",
    "Vsat = 2.5 #\n",
    "VT = 0.7 #\n",
    "\n",
    "# The frequency of the astable multivibrator is\n",
    "f = (1/(2*R*C*log((Vsat+VT)/(Vsat-VT))))#\n",
    "print 'The frequency of the astable multivibrator is =',N(f,2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.7 Pg 383"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of resistance R2 is = 32.86  K ohm \n",
      "The value of resistor R is = 10.52  K ohm\n"
     ]
    }
   ],
   "source": [
    "from math import log\n",
    "# Design astable multivibrator for the frequency f = 10 KHz\n",
    "f = 10 # # K ohm\n",
    "Vsat = 3 #\n",
    "VT = 0.7 #\n",
    "\n",
    "# The saturation voltage of an astable multivibrator is defined as\n",
    "#  Vsat = (R1+R2/R1)+VT #\n",
    "R1 = 10 #  # K ohm  we choose\n",
    "R2 = ((Vsat/VT)-1)*R1 #\n",
    "print 'The value of resistance R2 is = %0.2f'%R2,' K ohm '\n",
    "\n",
    "# The frequency of an astable multivibrator is defined as\n",
    "C = 0.01 #  # uF\n",
    "# f = (1/(2*R*C*log(1+(2*R1/R2))))#\n",
    "\n",
    "R = 1/(2*f*C*log(1+2*R1/R2))#\n",
    "print 'The value of resistor R is = %0.2f'%R,' K ohm'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.8 Pg 384"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of resistor R is = 200.00 ohm \n"
     ]
    }
   ],
   "source": [
    "# to design astable multivibrator \n",
    "f = 25*10**3 #\n",
    "\n",
    "# The output frequency of practical astable multivibrator is defined as\n",
    "#  f = 1/(2*R*C)#\n",
    "C = 0.1*10**-6 # # uF   we choose\n",
    "R = 1/(2*f*C)#\n",
    "print 'The value of resistor R is = %0.2f'%R,'ohm '"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.9 Pg 385"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of resistance R is = 579.7  ohm \n",
      "The value of resistance R2 is = 9.94  K ohm \n"
     ]
    }
   ],
   "source": [
    "# Design a monostable circuit with frequency f = 25 KHz\n",
    "f =25*10**3 # # Hz\n",
    "\n",
    "# The output frequency of monostable multivibrator is defined as \n",
    "#  f = 1/(0.69*R*C)#\n",
    "C = 0.1*10**-6 #\n",
    "R = 1/(0.69*f*C)#\n",
    "print 'The value of resistance R is = %0.1f'%R,' ohm '\n",
    "\n",
    "# In the practical monostable multivibrator\n",
    "#  ln(1+(R2/R1))= 0.69 #\n",
    "R1 = 10*10**3 #  # we choose\n",
    "R2 = R1*(1.99372-1)#\n",
    "print 'The value of resistance R2 is = %0.2f'%(R2/1000),' K ohm ' # Round Off Error "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.10 Pg 386"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the output of monostable multivibrator is = 6.01  kHz\n"
     ]
    }
   ],
   "source": [
    "from math import log\n",
    "# Determine the frequency of the monostable multivibrator\n",
    "R1 = 5*10**3 #\n",
    "R2 =15*10**3 #\n",
    "C = 0.01*10**-6 #\n",
    "R = 12*10**3 #\n",
    "\n",
    "# the output of monostable multivibrator is defined as\n",
    "f = 1/(R*C*(log(1+(R2/R1))))/1e3 # kHz\n",
    "print 'the output of monostable multivibrator is = %0.2f'%f,' kHz'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 13.11 Pg 386"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the output of monostable multivibrator is = 4.00  KHz\n"
     ]
    }
   ],
   "source": [
    "from __future__ import division\n",
    "# Determine the frequency of the monostable multivibrator\n",
    "R1 = 5*10**3 #\n",
    "R2 =15*10**3 #\n",
    "C = 0.01 #\n",
    "R = 25 #\n",
    "\n",
    "# the output of monostable multivibrator is defined as\n",
    "f = 1/(R*C)#\n",
    "print 'the output of monostable multivibrator is = %0.2f'%f,' KHz'"
   ]
  }
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