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diff --git a/Linear_Integrated_Circuits_by_J._B._Gupta/chapter05.ipynb b/Linear_Integrated_Circuits_by_J._B._Gupta/chapter05.ipynb new file mode 100644 index 00000000..6aae196e --- /dev/null +++ b/Linear_Integrated_Circuits_by_J._B._Gupta/chapter05.ipynb @@ -0,0 +1,498 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Chapter-5 : General Applications Of Op-Amps" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.1 - Page 156" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from numpy import pi\n", + "import math\n", + "# Given data\n", + "fo= 15 # in kHz\n", + "fo= fo*10**3 # in Hz\n", + "C=0.01 # in micro F\n", + "C=C*10**-6 # in F\n", + "L= 1/(4*pi**2*fo**2*C) # in H\n", + "L=math.ceil(L*10**3) # in mH\n", + "# Let L be of 12 mH and internal resistance 30 ohm\n", + "R=30 # internal resistance in ohm\n", + "XL= 2*pi*L*10**-3*fo \n", + "Q= XL/R \n", + "R_P= Q**2*R # in ohm\n", + "# If\n", + "R1=100 # in ohm\n", + "# Formula L= R_f*R_P/(R1*(R_f+R_P)) \n", + "R_f= R1*L*R_P/(R_P-R1*L) # in ohm\n", + "R_f=R_f*10**3 # in kohm\n", + "R_f= 1.2 # in k ohm (Standard value)\n", + "print \"The values of component chosen are:-\" \n", + "print \"Value of L = %0.f mH\" %L\n", + "print \"Value of C = %0.2f micro F\" %(C*10**6)\n", + "print \"Value of R_f = %0.1f k ohm\" %R_f\n", + "print \"Value of R1 = %0.f ohm\" %R1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The values of component chosen are:-\n", + "Value of L = 12 mH\n", + "Value of C = 0.01 micro F\n", + "Value of R_f = 1.2 k ohm\n", + "Value of R1 = 100 ohm\n" + ] + } + ], + "prompt_number": 56 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.2 - Page 159" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "# Given data\n", + "Rf= 12 # in k ohm\n", + "Rs1= 12 # in k ohm\n", + "Rs2= 2 # in k ohm\n", + "Rs3= 3 # in k ohm\n", + "Vi1= 9 # in volt\n", + "Vi2= -3 # in volt\n", + "Vi3= -1 # in volt\n", + "Vout= -Rf*(Vi1/Rs1+Vi2/Rs2+Vi3/Rs3) # in volt\n", + "print \"Output voltage = %0.f volt\" %Vout" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Output voltage = 13 volt\n" + ] + } + ], + "prompt_number": 57 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example 5.3 - Page NO 159" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given expression Vout= -2*V1+3*V2+4*V3\n", + "# For an operational amplifier\n", + "# Vout= -Rf*[V1/R1+V2/R2+V3/R3]\n", + "# Compare the above expression with the given expression for the output\n", + "r_1=2 # value of Rf/R1\n", + "r_2=3 # value of Rf/R2\n", + "r_3=4 # value of Rf/R3\n", + "# Resistance R3 will be minimum value of 10 k ohm\n", + "R3=10 # in k ohm\n", + "Rf= r_3*R3 # in k ohm\n", + "R2= Rf/r_2 # in k ohm\n", + "R1= Rf/r_1 # in k ohm\n", + "print \"Value of Rf = %0.f k ohm\" %Rf\n", + "print \"Value of R2 = %0.2f k ohm\" %R2\n", + "print \"Value of R1 = %0.f k ohm\" %R1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of Rf = 40 k ohm\n", + "Value of R2 = 13.33 k ohm\n", + "Value of R1 = 20 k ohm\n" + ] + } + ], + "prompt_number": 58 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.4 - Page No 159\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given data\n", + "V1= 2 # in volt\n", + "V2= -1 # in volt\n", + "# Let R1= (R||R)/(R+(R||R))= (R/2)/(R+R/2) = 1/3\n", + "R1=1/3 \n", + "Vs1= V1*R1 # in volt\n", + "# Let R2= (1+Rf/R)= (1+2*R/R)= 3\n", + "R2= 3 \n", + "Vo_desh= Vs1*R2 # in volt\n", + "Vs2= V2*R1 # in volt\n", + "Vo_doubleDesh= Vs2*R2 # in volt\n", + "V_out= Vo_desh+Vo_doubleDesh # in volt\n", + "print \"Output voltage = %0.f volt\" %V_out" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Output voltage = 1 volt\n" + ] + } + ], + "prompt_number": 59 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.5 - Page No 160\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given expression Vout= 10*(V2-V1)\n", + "# For a differential amplifier circuit\n", + "# Vout= Rf/R*(V2-V1)\n", + "# Compare the above expression with the given expression for the output, we have\n", + "RfbyR= 10 \n", + "R=10 # minimum value of resistancce to be used in kohm\n", + "Rf= RfbyR * R # in k ohm\n", + "print \"Value of Rf = %0.f k ohm\" %Rf" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of Rf = 100 k ohm\n" + ] + } + ], + "prompt_number": 60 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.7 - Page No 164\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "# Given data\n", + "R1= 50 # in kohm\n", + "# Let us choose\n", + "R3= 15 # in k ohm\n", + "R4= R3 \n", + "# Ad= 1+2*R2/R1 (i)\n", + "# Ad= ((1+2*R2/R1)*(V2-V1))/(V2-V1)= 1+2*R2/R1\n", + "# For minimum differential voltage gain\n", + "Ad_min=5 \n", + "Ad= Ad_min \n", + "R1_max= R1 # since Ad will be minimum only when R1 will be maximum\n", + "# Putting values of Ad and R1 in eq(i)\n", + "R2= (Ad-1)*R1/2 # in k ohm\n", + "# For maximum differential voltage gain\n", + "Ad_max=200 \n", + "Ad= Ad_min \n", + "# Putting values of Ad and R2 in eq(i)\n", + "R1= 2*R2/(Ad_max-1) # in k ohm\n", + "R1=int(R1)\n", + "# For maximum value of Ad, R1 will have minimum value , therefore\n", + "R1_min= 1 # in kohm\n", + "print \"Value of R1_min = %0.f k ohm\" %R1_min\n", + "print \"Value of R1 = %0.f-50 k ohm potentiometer\" %R1\n", + "print \"Value of R2 = %0.f k ohm\" %R2\n", + "print \"Value of R3 = %0.f k ohm\" %R3\n", + "print \"Value of R4 = %0.f k ohm\" %R4" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of R1_min = 1 k ohm\n", + "Value of R1 = 1-50 k ohm potentiometer\n", + "Value of R2 = 100 k ohm\n", + "Value of R3 = 15 k ohm\n", + "Value of R4 = 15 k ohm\n" + ] + } + ], + "prompt_number": 61 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.10 - Page No 179\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given data\n", + "Vin= 10 # in volt\n", + "R=2.2 # in k ohm\n", + "R=R*10**3 #in ohm\n", + "Ad=10**5 # voltage gain\n", + "T= 1 # in ms\n", + "T=T*10**-3 # in second\n", + "C=1 # in micro F\n", + "C=C*10**-6 # in F\n", + "I= Vin/R # in volt\n", + "V= I*T/C # in V\n", + "print \"The output voltage at the end of the pulse = %0.3f volt\" %V\n", + "RC_desh= R*C*Ad \n", + "print \"The closed-loop time constant = %0.f second \" %RC_desh" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "The output voltage at the end of the pulse = 4.545 volt\n", + "The closed-loop time constant = 220 second \n" + ] + } + ], + "prompt_number": 62 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.11 - Page No 180\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Given data\n", + "C=0.01 # in micro F\n", + "C=C*10**-6 # in F\n", + "omega= 10000 # in rad/second\n", + "# Vout/V1= (Rf/R1)/(1+s*C*Rf)\n", + "# substituting s= j*omega we have\n", + "# Vout/V1 = (Rf/R1)/sqrt((omega*C*Rf)**2+1)\n", + "# At omega=0\n", + "# Vout/V1= Rf/R1\n", + "# Formula omega= 1/(C*Rf)\n", + "Rf= 1/(C*omega) # in ohm\n", + "Rf= Rf*10**-3 # in k ohm\n", + "# 20*log10(Rf/R1) = 20\n", + "R1= Rf/10 # in k ohm\n", + "print \"Value of Rf = %0.f k ohm\" %Rf\n", + "print \"Value of R1 = %0.f k ohm\" %R1" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of Rf = 10 k ohm\n", + "Value of R1 = 1 k ohm\n" + ] + } + ], + "prompt_number": 63 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.12 Page No 180\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "#Given Data : \n", + "R=40*1000 #in ohm(assumed)\n", + "C=0.2*10**-6 #IN FARAD\n", + "Vout=3 #in Volt\n", + "V1=Vout #in Volt\n", + "V2=Vout #in Volt\n", + "plot([0,50],[3,-9.5]) \n", + "plt.title('Output voltage')\n", + "plt.xlabel('Time in milliseconds')\n", + "plt.ylabel('Output voltage in volts')\n", + "plt.axis([0, 60, -12, 5])\n", + "plt.show()\n", + "print \"Assuming Ideal op-amp, sketch for Vout is shown in figure.\" \n", + "\n", + "\n" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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J9PT0Bo/pEpNE49y+DXz4IbBnD7BsGTB3rrqim4jMkyxLhVtaWiIrK0t6fenSJVhaarwp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\nk0RwcDBu376NK1e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+ "text": [ + "<matplotlib.figure.Figure at 0x7f0c532cff90>" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Assuming Ideal op-amp, sketch for Vout is shown in figure.\n" + ] + } + ], + "prompt_number": 64 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Example : 5.14 - Page No 185\n", + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from __future__ import division\n", + "%matplotlib inline\n", + "from sympy import symbols, simplify, sin\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "# Given data\n", + "fa= 1 # in kHz\n", + "fa=fa*10**3 # in Hz\n", + "Vp=1.5 # in volt\n", + "f= 200 # in Hz\n", + "C=0.1 # in micro F\n", + "C=C*10**-6 # in F\n", + "R= 1/(2*np.pi*fa*C) # in ohm\n", + "R=R*10**-3 # in k ohm\n", + "R=np.floor(R*10)/10 # in k ohm\n", + "fb= 20*fa # in Hz\n", + "R_desh= 1/(2*np.pi*fb*C) # in ohm\n", + "# Let\n", + "R_desh= 82 # in ohm\n", + "R_OM= R # in k ohm\n", + "print \"Value of R_OM = %0.1f k ohm\" %R_OM\n", + "CR= C*R \n", + "# Vin= Vp*sin(omega*t)= 1.5*sin(400*t)\n", + "# v_out= -CR*diff(v_in) = -0.2827 Cos(400*pi*t)# in micro volt\n", + "print \"Output Voltage = -0.2827 Cos(400*pi*t)\" \n", + "t = np.arange(0, .015, 1.0/44100)\n", + "v_out=-0.2827*np.sin(400*np.pi*t+np.pi/2)# in micro volt\n", + "plot(t,v_out) \n", + "plt.title('Output Voltage Waveform')\n", + "plt.xlabel('Time in ms')\n", + "plt.ylabel('Vout in Volts') \n", + "print \"Output Voltage waveform is shown in figure.\"" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Value of R_OM = 1.5 k ohm\n", + "Output Voltage = -0.2827 Cos(400*pi*t)\n", + "Output Voltage waveform is shown in figure.\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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QnZ0tSo7FKDV/YkDrD8Pdu8CFC7zBUiKtWgEFBdpeL6TU/ImBDh1o4oS5COsT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\nU4ayYwfQv79oFfaNgwPQowcfR5cDMhT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