path: root/Analog_Integrated_Circuits_by_R.S._Tomar/Chapter6.ipynb

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  {
   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Chapter6 - Oscillators and waveform generators"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.1 - page 170"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "from math import pi, sqrt, ceil\n",
      "f0=600 #Hz#Oscillating Frequency\n",
      "print \"Various design parameters are :-\"\n",
      "C=0.05 #micro F#Chosen for the design\n",
      "print \"Capacitance = %0.2f micro F\" %C\n",
      "R=1/(2*pi*f0*sqrt(6)*C*10**-6) #ohm\n",
      "R=R/1000 #kohm\n",
      "print \"Resistance R = %0.1f kohm\" %R\n",
      "#To avoid loading effect\n",
      "Ri=10*R #kohm#Ri>=10*R\n",
      "Ri=ceil(Ri) #kohm\n",
      "print \"Resistance Ri = %0.1f kohm\" % Ri\n",
      "Rf=29*Ri #kohm#Rf>=29*Ri\n",
      "print \"Resistance Rf = %0.1f kohm\" %Rf\n",
      "Rf=640 #kohm\n",
      "#Balancing the circuit\n",
      "Rom=Rf*Ri/(Rf+Ri) #kohm\n",
      "Rom=ceil(Rom) #kohm\n",
      "print \"Resistance Rom = %0.1f kohm\" %Rom"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :-\n",
        "Capacitance = 0.05 micro F\n",
        "Resistance R = 2.2 kohm\n",
        "Resistance Ri = 22.0 kohm\n",
        "Resistance Rf = 638.0 kohm\n",
        "Resistance Rom = 22.0 kohm\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.3 - page 181"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "from math import pi\n",
      "f0=12 #kHz#Oscillating Frequency\n",
      "print \"Various design parameters are :-\"\n",
      "C=0.01 #micro F#Chosen for the design between 0.01 & 1 micro F\n",
      "print \"Capacitance = %0.2f micro F \" % C\n",
      "R=1/(2*pi*f0*1000*C*10**-6) #ohm\n",
      "R=R/1000 #kohm\n",
      "print \"Resistance R = %0.1f kohm\" %R\n",
      "Ri=3*R/2 #kohm#Ri>=3*R/2\n",
      "print \"Resistance Ri = %0.2f kohm\" %Ri\n",
      "Ri=2.2 #kohm\n",
      "Rf=2*Ri #kohm\n",
      "print \"Resistance Rf = %.1f kohm\" %Rf"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :-\n",
        "Capacitance = 0.01 micro F \n",
        "Resistance R = 1.3 kohm\n",
        "Resistance Ri = 1.99 kohm\n",
        "Resistance Rf = 4.4 kohm\n"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.5 - page 184"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "from math import pi\n",
      "f0=2 #kHz#Oscillating Frequency\n",
      "print \"Various design parameters are :-\"\n",
      "C=0.05 #micro F#Chosen for the design\n",
      "print \"Capacitance = %0.2f micro F \" %C\n",
      "R=1/(2*pi*f0*1000*C*10**-6) #ohm\n",
      "R=R/1000 #kohm\n",
      "print \"Resistance R = %0.1f kohm \" %R \n",
      "Ri=3*R/2 #kohm#Ri>=3*R/2\n",
      "print \"Resistance Ri = %0.1f kohm \" %Ri \n",
      "Rf=2*Ri #kohm\n",
      "print \"Resistance Rf = %0.1f kohm \" %Rf "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :-\n",
        "Capacitance = 0.05 micro F \n",
        "Resistance R = 1.6 kohm \n",
        "Resistance Ri = 2.4 kohm \n",
        "Resistance Rf = 4.8 kohm \n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.6 - page : 184"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "from math import pi\n",
      "#Data given\n",
      "R1=1 #kohm\n",
      "R2=1 #kohm\n",
      "R=1 #kohm\n",
      "C=4.7 #micro F\n",
      "f0=1/(2*pi*R*10**3*C*10**-6) #Hz#Oscillating Frequency\n",
      "print \"Oscillation frequency = %0.2f Hz \" %f0 "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Oscillation frequency = 33.86 Hz \n"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.7 - page : 188"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "f0=200 #Hz#Oscillating Frequency\n",
      "print \"Various design parameters are :-\" \n",
      "C=0.05 #micro F#Chosen for the design\n",
      "print \"Capacitance = %0.2f micro F \" %C \n",
      "R=0.159/(f0*C*10**-6) #ohm\n",
      "R=R/1000 #kohm\n",
      "print \"Resistance R = %0.1f kohm \" %R \n",
      "R=510 #kohm\n",
      "C1=C;C2=C;C3=C #micro F\n",
      "print \"Capacitance C1 = C2 = C3 = %0.2f micro F \" %(C3) \n",
      "R2=R;R3=R #kohm\n",
      "print \"Resistance R2 = %0.1f kohm, R3 = %0.1f kohm \" %(R3,R2)\n",
      "#Answer for R is calculated wrong in the textbook."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :-\n",
        "Capacitance = 0.05 micro F \n",
        "Resistance R = 15.9 kohm \n",
        "Capacitance C1 = C2 = C3 = 0.05 micro F \n",
        "Resistance R2 = 510.0 kohm, R3 = 510.0 kohm \n"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.8 - page : 189"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "Rf=570 #kohm\n",
      "Ri=15 #kohm\n",
      "A=Rf/Ri #Gain of the circuit\n",
      "Amin=29 #Minimum Gain requirement of RC phase shift oscillator\n",
      "deltaA=(A-Amin)/Amin*100 #%(Exceeding Gain)\n",
      "print \"Gain is exceeded by %0.f %% \" %deltaA "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Gain is exceeded by 31 % \n"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.9 - page : 192"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "from math import pi, sqrt\n",
      "print \"Part (a)\"\n",
      "L1=25 #micro H\n",
      "L2=10 #micro H\n",
      "Rf=22 #kohm\n",
      "C=0.01 #micro F\n",
      "LT=L1+L2 #micro H\n",
      "fr=1/(2*pi*sqrt(C*10**-6*LT*10**-6)) #Hz\n",
      "fr=fr/1000 #kHz\n",
      "f0=fr #/kHz\n",
      "print \"Oscillation frequency = %0.1f kHz \" %f0 \n",
      "Ri=Rf/(L1/L2) #kohm\n",
      "print \"Resistance Ri = %0.1f kohm \" %Ri \n",
      "print \"Part (b)\"\n",
      "C1=220 #pF\n",
      "C2=680 #pF\n",
      "Rf=22 #kohm\n",
      "L=1 #mH\n",
      "CT=C1*C2/(C1+C2) #pF\n",
      "fr=1/(2*pi*sqrt(L*10**-3*CT*10**-12)) #Hz\n",
      "fr=fr/1000 #kHz\n",
      "f0=fr #/kHz\n",
      "f0=round(f0) #kHz\n",
      "print \"Oscillation frequency = %0.1f kHz \" %f0\n",
      "Ri=Rf/(C1/C2) #kohm\n",
      "print \"Resistance Ri = %0.1f kohm \" %Ri"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Part (a)\n",
        "Oscillation frequency = 269.0 kHz \n",
        "Resistance Ri = 8.8 kohm \n",
        "Part (b)\n",
        "Oscillation frequency = 390.0 kHz \n",
        "Resistance Ri = 68.0 kohm \n"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.10 - page : 198"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "f0=1 #/kHz\n",
      "Vsat=14 #V\n",
      "print \"Various design parameters are :-\"\n",
      "C1=0.05 #micro F#Chosen for the design\n",
      "print \"Capacitance = %0.2f micro F \" %C1\n",
      "Rf=1/(2*f0*10**3*C1*10**-6)/1000 #kohm\n",
      "print \"Resistance Rf = %0.1f kohm \" %Rf \n",
      "#R2=0.86*R1 and Rf=R1||R2\n",
      "R2byR1=0.86 #from R2=0.86*R1 \n",
      "R2=Rf*(1+R2byR1) #kohm\n",
      "R1=R2/R2byR1 #kohm\n",
      "print \"Resistance R1 = %0.1f kohm \" %R1 \n",
      "print \"Resistance R2 = %0.1f kohm \" %R2 "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :-\n",
        "Capacitance = 0.05 micro F \n",
        "Resistance Rf = 10.0 kohm \n",
        "Resistance R1 = 21.6 kohm \n",
        "Resistance R2 = 18.6 kohm \n"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.11 - page 199"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "from math import log\n",
      "T=10 #ms#(Time period)\n",
      "f0=1/(T*10**-3) #Hz\n",
      "C=0.05 #micro F#Chosen for the design\n",
      "#Formula : f0=1/{2*Rf*C*log(1+2*R2/R1)}\n",
      "Rf=1/(f0*2*C*10**-6*log(1+2))/1000 #kohm#By putting R1=R2 for this case\n",
      "Rf=round(Rf) #kohm\n",
      "print \"Resistance Rf = %0.1f kohm \" %Rf \n",
      "print \"Capacitance for the design is %0.2f micro F \" %C "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Resistance Rf = 91.0 kohm \n",
        "Capacitance for the design is 0.05 micro F \n"
       ]
      }
     ],
     "prompt_number": 28
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.12 - page : 200"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "from math import log\n",
      "R1=4.7 #kohm\n",
      "R2=3.3 #kohm\n",
      "Rf=2 #kohm\n",
      "C=0.1 #micro F\n",
      "f0=1/2/(Rf*1000)/(C*10**-6)/log(1+2*R2/R1)/1000 #kHz\n",
      "print \"Frequency of output signal is %0.2f kHz \" %f0 "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Frequency of output signal is 2.85 kHz \n"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.13 - page : 204"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "f0=1.5 #kHz\n",
      "Vout=6 #V##peak to peak\n",
      "Vsat=13.5 #V\n",
      "print \"Various design parameters are : \"\n",
      "R2=10 #kohm#/choosen for the design\n",
      "R1=R2*2*Vsat/Vout #kohm\n",
      "print \"R1 = %0.2f kohm \" %R1 \n",
      "print \"R2 = %0.2f kohm \" %R2 \n",
      "#Let Cf=0.05 micro F for the design\n",
      "Cf=0.05 #micro F\n",
      "print \"Cf = %0.2f micro F \" %Cf \n",
      "Ri=R1*1000/(f0*1000)/4/(Cf*10**-6*R2*1000)/1000 #kohm\n",
      "print \"Ri = %0.2f kohm \" %Ri "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are : \n",
        "R1 = 45.00 kohm \n",
        "R2 = 10.00 kohm \n",
        "Cf = 0.05 micro F \n",
        "Ri = 15.00 kohm \n"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#Ex 6.14\n",
      "from __future__ import division \n",
      "#Data given\n",
      "R1=6.8 #kohm\n",
      "Ri=100 #kohm\n",
      "R2=1.5 #kohm\n",
      "Cf=0.01 #micro F\n",
      "Vsat=14 #V\n",
      "Vo_pp=2*R2/R1*Vsat #V##Peak to peak output of triangular wave\n",
      "print \"Peak to peak output of triangular wave is %0.1f V \" %Vo_pp\n",
      "f0=R1*1000/(4*Ri*10**3*Cf*10**-6*R2*10**3)/1000 #kHz#Oscillating Frequency\n",
      "print \"Oscillation frequency is %0.2f Hz\" %f0"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Peak to peak output of triangular wave is 6.2 V \n",
        "Oscillation frequency is 1.13 Hz\n"
       ]
      }
     ],
     "prompt_number": 34
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.15 - page : 205"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "#Data given\n",
      "f0=1 #kHz\n",
      "Vo_pp=7 #V\n",
      "Vsat=14 #V\n",
      "print \"Various design parameters are :-\"\n",
      "#Let R2=10 #kohm for the design\n",
      "R2=10 #kohm\n",
      "R1=2*R2*Vsat/Vo_pp #kohm\n",
      "print \"R1 = %0.2f kohm \" %R1 \n",
      "print \"R2 = %0.2f kohm \" %R2 \n",
      "#Choose Cf=0.1 micro F for the design\n",
      "Cf=0.1 #micro F\n",
      "print \"Cf = %0.2f micro F \" %Cf \n",
      "Ri=R1*10**3/(4*f0*10**3*Cf*10**-6*R2*10**3)/1000 #kohm\n",
      "print \"Ri = %0.2f kohm \" %Ri "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :-\n",
        "R1 = 40.00 kohm \n",
        "R2 = 10.00 kohm \n",
        "Cf = 0.10 micro F \n",
        "Ri = 10.00 kohm \n"
       ]
      }
     ],
     "prompt_number": 35
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.16 - page : 208"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "from math import log\n",
      "#Data given\n",
      "tau=1 #ms(time period)\n",
      "R1byR2_min=1.8 # min R1/R2\n",
      "R1byR2_max=9 # max R1/R2\n",
      "Beta_min=1/(1+R1byR2_min) #minimum value of Beta\n",
      "Beta_max=1/(1+R1byR2_max) #maximum value of Beta\n",
      "Tmax=2*tau*log((1+Beta_min)/(1-Beta_min)) #ms##For minimum value of Beta\n",
      "fmin=1/(Tmax*10**-3) #Hz\n",
      "Tmin=2*tau*log((1+Beta_max)/(1-Beta_max)) #ms##For maximum value of Beta\n",
      "fmax=1/(Tmin*10**-3)/1000 #kHz\n",
      "print \"Frequency range is %d Hz to %0.1f kHz.\" %(fmin, fmax)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Frequency range is 669 Hz to 2.5 kHz.\n"
       ]
      }
     ],
     "prompt_number": 40
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.17 : page 211"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "from math import sqrt, pi\n",
      "#Data given\n",
      "Ls=3 #H\n",
      "Cs=0.05 #pF\n",
      "Rs=2 #kohm\n",
      "Cm=10 #pF\n",
      "fS=1/2/pi/sqrt(Ls*Cs*10**-12)/1000 #kHz\n",
      "print \"Series resonant frequency is %0.f kHz \" %fS \n",
      "CT=Cm*Cs/(Cm+Cs) #pF##Equivalent capacitance\n",
      "fP=1/2/pi/sqrt(Ls*CT*10**-12)/1000 #kHz\n",
      "print \"Parallel resonant frequency is %0.f kHz \" %fP "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Series resonant frequency is 411 kHz \n",
        "Parallel resonant frequency is 412 kHz \n"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.18  - page : 220"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "#Data given\n",
      "f0=5 #kHz\n",
      "D=60 #%##duty cycle\n",
      "VCC=12 #V\n",
      "#As D=t1/(t1+t2)\n",
      "t2BYt1=1/(D/100)-1 #ratio of t1 & t2\n",
      "#RB/(2*RA-RB)=t2/t1\n",
      "RAbyRB=(1/t2BYt1+1)/2 #Ratio of RA & RB\n",
      "print \"Various design parameters are :\"\n",
      "#Let CT=0.05 micro F for this design choosing between 0.01 & 1 microo F\n",
      "CT=0.05 #micro F\n",
      "print \"CT = %0.2f micro F \" %CT \n",
      "RA=1/(f0*10**3)/(5/3)**2/(CT*10**-6)/1000 #kohm\n",
      "print \"RA = %0.2f kohm \" %RA\n",
      "RB=RA/RAbyRB #kohm\n",
      "print \"RB = %0.2f kohm \" %RB"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Various design parameters are :\n",
        "CT = 0.05 micro F \n",
        "RA = 1.44 kohm \n",
        "RB = 1.15 kohm \n"
       ]
      }
     ],
     "prompt_number": 44
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Ex 6.19 - page : 225"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division \n",
      "#Data given\n",
      "Rf=15 #kohm\n",
      "RT1=4.7 #kohm\n",
      "R1=56 #kohm\n",
      "R2=6.8 #kohm\n",
      "R3=10 #kohm\n",
      "R4=1 #kohm\n",
      "R5=1 #kohm\n",
      "CB=1 #micro F\n",
      "CT=0.05 #mic\n",
      "VCC=15 #V\n",
      "V1=-15 #V##Voltage given through the resistance(R1) 56 kohm\n",
      "print \"Part (i)\"\n",
      "Vin=2 #V\n",
      "Vo=Rf/R1*(-V1)-Rf/R2*Vin #V\n",
      "print \"Voltage Vo = %0.3f V \" %Vo \n",
      "N_VCC=0 #V##-VCC##voltage given to the 12th pin of IC\n",
      "V7=N_VCC+3 #V\n",
      "print \"Voltage V7 = %0.2f V \" %V7\n",
      "I=(V7-Vo)/RT1 #mA\n",
      "print \"Current I = %0.2f mA \" %I \n",
      "Rmult=R4*R5/(R4+R5)+R3 #kohm##on pin 3\n",
      "print \"Total resistance on pin 3, Rmult = %0.2f kohm \" %Rmult\n",
      "f0=0.32*I*10**-3/(CT*10**-6)/1000 #kHz\n",
      "print \"Oscillation frequency is %0.1f kHz \" %f0\n",
      "print \"Part (ii)\"\n",
      "Vin=5 #V\n",
      "Vo=Rf/R1*(-V1)-Rf/R2*Vin #V\n",
      "print \"Voltage Vo = %0.f V \" %Vo \n",
      "N_VCC=0 #V##-VCC##voltage given to the 12th pin of IC\n",
      "V7=N_VCC+3 #V\n",
      "print \"Voltage V7 = %0.f V \" %V7 \n",
      "I=(V7-Vo)/RT1 #mA\n",
      "print \"Current I = %0.2f mA \" %I \n",
      "Rmult=R4*R5/(R4+R5)+R3 #kohm##on pin 3\n",
      "print \"Total resistance on pin 3, Rmult = %0.2f kohm \" %Rmult \n",
      "f0=0.32*I*10**-3/(CT*10**-6)/1000 #kHz\n",
      "print \"Oscillation frequency is %0.2f kHz\" %f0"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Part (i)\n",
        "Voltage Vo = -0.394 V \n",
        "Voltage V7 = 3.00 V \n",
        "Current I = 0.72 mA \n",
        "Total resistance on pin 3, Rmult = 10.50 kohm \n",
        "Oscillation frequency is 4.6 kHz \n",
        "Part (ii)\n",
        "Voltage Vo = -7 V \n",
        "Voltage V7 = 3 V \n",
        "Current I = 2.13 mA \n",
        "Total resistance on pin 3, Rmult = 10.50 kohm \n",
        "Oscillation frequency is 13.63 kHz\n"
       ]
      }
     ],
     "prompt_number": 49
    }
   ],
   "metadata": {}
  }
 ]
}