{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Chapter 5 :Selected applications of Op Amps" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.1 Page No 120" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Ei = 0.5 #Input voltage\n", "Ri = 1*10**3 #Input resistance in ohm\n", "\n", "#Calculation\n", "Im = Ei / Ri #Meter Current\n", "\n", "#Result\n", "print\"Meter Current = \", Im*1000,\"mA\" " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Meter Current = 0.5 mA\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.2 Page No 120" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Efs = 5.0 #Full scale Voltage\n", "Ifs = 50*10**-6 #Full scale Meter Current\n", "#Calculation\n", "Ri = Efs / Ifs # Input Resistance\n", "\n", "#Result\n", "print\" Input Resistance =\", Ri/1000,\"Kohm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Input Resistance = 100.0 Kohm\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.3 Page No 122" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Edc = 5.0\n", "Erms = 5.0\n", "Epeak = 5.0\n", "Eptop = 5.0 # Voltages of meters \n", "Ifs = 50*10**-6 # Full scale Meter Current\n", "\n", "#Calculation\n", "Ri1 = Edc / Ifs # DC Voltmeter\n", "Ri2 = 0.90 * (Erms / Ifs ) # Rms ac voltmeter ( math.sine wave only )\n", "Ri3 = 0.636 * (Epeak / Ifs ) #Peak Reading Voltmeter ( math.sine wave only )\n", "Ri4 = 0.318 * (Eptop / Ifs ) #Peak-to-Peak ac Voltmeter(math.sine wave only)\n", "\n", "#Result\n", "print\" Ri1 \", Ri1/1000,\"kohm\"\n", "print\" Ri2 =\",Ri2/1000 ,\"kohm\"\n", "print\" Ri3 = \", Ri3/1000,\"kohm\"\n", "print\" Ri4 = \", Ri4/1000,\"kohm\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Ri1 100.0 kohm\n", " Ri2 = 90.0 kohm\n", " Ri3 = 63.6 kohm\n", " Ri4 = 31.8 kohm\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.4 Page No 123" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Vo = 10.3 #Voltage across the load resistor\n", "Ei = 5.0 #Input voltage\n", "Ri = 1*10**3 #Input Resistance\n", "\n", "#calculation\n", "I = Ei / Ri #Zener Current\n", "Vt = Vo - Ei #Zener Voltage\n", "\n", "#Result\n", "print\" Zener Current = \", I,\"A\"\n", "print\" Zener Voltage = \", Vt ,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Zener Current = 0.005 A\n", " Zener Voltage = 5.3 V\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.5 Page No 124" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Ei = 1.0 #Reference voltage\n", "Ri = 1*10**3 #Input Resistance\n", "Vo = 0.6 #Outpur Voltage\n", "\n", "#Calculation\n", "I = Ei / Ri #Diode Current\n", "Vdiode = Vo \n", "\n", "#Result\n", "print\" Diode Current = \", I*1000 ,\"mA\"\n", "print\" Voltage drop across the diode = \", Vdiode,\"V\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Diode Current = 1.0 mA\n", " Voltage drop across the diode = 0.6 V\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.6 Page No 127" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "R = 10*10**3 #Resistance\n", "E2 = 0 #Source across negative terminal\n", "Rl = 5*10**3 # Load Resistance\n", "E1 = 5.0 # source across positive terminal\n", "\n", "#calculation\n", "Il = (E1 - E2)/R #Load Current\n", "Vl = Il * Rl # Voltage across Rl \n", "Vo = (2*Vl)-E2 #Output voltage\n", "\n", "#Result\n", "print\"(a) Load current across Rl = \" , Il*1000 ,\"mA\"\n", "print\"(b) Voltage across load resistance = \" , Vl,\"V\"\n", "print\"(c) Output Voltage = \", Vo ,\"V\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Load current across Rl = 0.5 mA\n", "(b) Voltage across load resistance = 2.5 V\n", "(c) Output Voltage = 5.0 V\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.7 Page No 127" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "R = 10*10**3 #Resistance\n", "E2 = 5.0 #Source across negative terminal\n", "Rl = 5*10**3 # Load Resistance\n", "E1 = 0 # source across positive terminal\n", "\n", "#Calculation\n", "Il = (E1 - E2)/R #Load Current\n", "Vl = Il * Rl # Voltage across Rl \n", "Vo = (2*Vl)-E2 #Output voltage\n", "\n", "#Result\n", "print\"(a) Load current across Rl = \" , Il*1000,\"mA\"\n", "print\"(b) Voltage across load resistance = \" , Vl,\"V\"\n", "print \"(c) Output Voltage = \", Vo ,\"V\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a) Load current across Rl = -0.5 mA\n", "(b) Voltage across load resistance = -2.5 V\n", "(c) Output Voltage = -10.0 V\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.8 Page No 132" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Vo = 5.0 #Output Voltage\n", "Rf = 100*10**3 #Feedback Resistance\n", "\n", "#calculation\n", "Isc = Vo / Rf #Short Circuit Current\n", "\n", "#Result\n", "print\" Short Circuit Current = \" , Isc*10**6,\"microA\"\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Short Circuit Current = 50.0 microA\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.9 Page No 132" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given \n", "Rf = 10*10**3 #Feedback Resistance\n", "I = 10*10**-6 #Current through Photo Detector\n", "\n", "#calculation\n", "Vo = Rf * I #Vo for Dark Condition\n", "I1 = 1*10**-3 #Current in presence of sunlight\n", "Vo1 = Rf * I1 #output voltage in light condition\n", "\n", "#Result\n", "print\"(a)Output Voltage for dark Condition = \", Vo,\"V\"\n", "print\"(b) Output voltage in light condition = \", Vo1,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(a)Output Voltage for dark Condition = 0.1 V\n", "(b) Output voltage in light condition = 10.0 V\n" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.10 Page No 133" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Rf = 100*10**3 #Feedback Resistance\n", "Il1 = 1*10**-6 #Load current 1\n", "\n", "#calculation\n", "Vo1 = Rf * Il1 #Output voltage in photo detector\n", "Il2 = 50*10**-6 # Load current 2\n", "Vo2 = Rf * Il2 #Output Voltage in photo detector\n", "\n", "#Result\n", "print\" (a)Output Voltage in photo detector for Il1 = \",Vo1 ,\"V\"\n", "print \" (b)Output Voltage in photo detector for Il2 = \",Vo2 ,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " (a)Output Voltage in photo detector for Il1 = 0.1 V\n", " (b)Output Voltage in photo detector for Il2 = 5.0 V\n" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.11 Page No 134" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "R = 1*10**3\n", "R1 = 99*10**3 \n", "\n", "#calculation\n", "m = R1 / R #multiplier\n", "Isc = 10*10**-6 #Current on short-circuit condition\n", "Il = (1 + m)*Isc \n", "\n", "#result\n", "print\" Load current = \", Il*1000,\"mA\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Load current = 1.0 mA\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.12 Page No 136" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Im = 100*10**-6 #Meter current \n", "Isc = 0.5 # Current in short-circuit condition\n", "Rf = 20 # Feedback resistance\n", "Rm = 0.8*10**3 #Meter resistance\n", "\n", "#calculation\n", "d = Isc / Im #Current divider\n", "R1 = d * Rf \n", "Rscale = R1 - Rm \n", "\n", "#Result\n", "print\" Resistance dRf = \", R1/1000 ,\"kohm\"\n", "print\" Rscale = \", Rscale/1000,\"kohm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Resistance dRf = 100.0 kohm\n", " Rscale = 99.2 kohm\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.13 Page No 138" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "f = 10**3 #Frequency of Ei in Hz\n", "Ci = 0.01*10**-6 \n", "\n", "#Calculation\n", "import math\n", "m = math.tan(math.pi/4)\n", "Ri = m / (2*math.pi*f*Ci)\n", "\n", "#result\n", "print\" Value of Ri = \",round(Ri/1000,1),\"kohm\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Value of Ri = 15.9 kohm\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.14 Page No 138" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "f = 10**3 \n", "Ri = 100*10**3 \n", "Ci = 0.01*10**-6\n", "\n", "#calculation\n", "import math\n", "phaseangle = 2*math.atan(2*math.pi*f*Ri*Ci)\n", "\n", "#result\n", "print\" Phase angle =\", round(phaseangle*180/3.14,2),\"degree\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " Phase angle = 162.0 degree\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.15 Page no 143" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "#From fig 5-14(a) and b\n", "Ei=2 #V, voltage\n", "Vf=4 #Vf force\n", "\n", "#Calculation\n", "Vo=-2*Ei #Vo forces\n", "Vcap=3*Ei\n", "\n", "#Result\n", "print\"Vo is\",Vo,\"V\"\n", "print\"Vcap is\",Vcap,\"V\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Vo is -4 V\n", "Vcap is 6 V\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.16 Page no 144" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Ei=4 #V\n", "Vo=8 #V\n", "\n", "#Calculation\n", "Vr=-Vo\n", "Vcap=Ei+Vo\n", "\n", "#Result\n", "print\"Vcap is\",Vcap,\"V\"\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Vcap is 12 V\n" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.17 Page no 144" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Given\n", "Ri=1*10**5\n", "C=10**-6\n", "\n", "#Calculation\n", "T=3*Ri*C\n", "Et=5*T\n", "\n", "#Result\n", "print\"Equilibrium Time is\",Et,\"s\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Equilibrium Time is 1.5 s\n" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example 5.18 Page no 146" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#given\n", "Ci=0.1*10**-6 #capacitance, farady\n", "Ci_=0.1 #microF\n", "f=1000 #frequency\n", "#Calculation\n", "import math\n", "Ri=1/(2*math.pi*f*Ci)\n", "Rf=20/(2*math.pi*f*Ci)\n", "Cf=1/(2*math.pi*f*Rf)\n", "#a=0.4*math.sin(2*math.pi*1000*t)\n", "#Vo=-Cf*Ci*a\n", "\n", "from sympy import *\n", "import numpy as np\n", "t = Symbol('t')\n", "y = -Rf*Ci_/10**6*0.4*sin(2*math.pi*1000*t)\n", "y_ = y.diff(t)\n", "\n", "#Reslt\n", "print Ci_\n", "print\"a)Rf is \",round(Rf/1000,1),\"kohm\"\n", "print\"Cf is \",round(Cf*10**6,9),\"microF\"\n", "print\"(b)Output voltage is \",y_,\"V\"\n", "\n", "#NOTE: Answer is same .In the book it is written 2*math.pi*1000 ." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.1\n", "a)Rf is 31.8 kohm\n", "Cf is 0.005 microF\n", "(b)Output voltage is -8.0*cos(6283.18530717959*t) V\n" ] } ], "prompt_number": 7 } ], "metadata": {} } ] }