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authorkinitrupti2017-05-12 18:40:35 +0530
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tree9806b0d68a708d2cfc4efc8ae3751423c56b7721 /Electronic_Principles/Chapter_22_New.ipynb
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-{
- "metadata": {
- "name": ""
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "CHAPTER 22 NONLINEAR OP-AMP CIRCUITS"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-4, Page 854"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "\n",
- "Vin=10 #ac input(V)\n",
- "Vs=15 #non-inverting input voltage(V)\n",
- "R1=200.0*10**3 #non-inverting input resistance R1(Ohm)\n",
- "R2=100.0*10**3 #non-inverting input resistance R2(Ohm)\n",
- "C=10*10**-6 #capacitance at non-inverting input(F)\n",
- "\n",
- "Vref=Vs/3 #reference voltage at trip point(V)\n",
- "fc=(2*math.pi*((R1**-1+R2**-1)**-1)*C)**-1 #cutoff frequency(Hz)\n",
- "\n",
- "print 'trip point voltage Vref = ',Vref,'V'\n",
- "print 'cutoff frequency of bypass circuit fc = ',round(fc,2),'Hz'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "trip point voltage Vref = 5 V\n",
- "cutoff frequency of bypass circuit fc = 0.24 Hz\n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-5, Page 855"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "import math\n",
- "\n",
- "Vp=10.0 #sine peak(V)\n",
- "Vin=5.0 #input voltage(V) \n",
- "\n",
- "theta=math.ceil((math.asin(Vin/Vp))*180/math.pi) #angle theta (deg)\n",
- "D=(150-theta)/360.0 #duty cycle\n",
- "\n",
- "print 'theta = ',theta,'degrees'\n",
- "print 'duty cycle D = ',round((D*100),2),'%'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "theta = 31.0 degrees\n",
- "duty cycle D = 33.06 %\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-6, Page 860"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "R1=1.0 #non-inverting input resistance R1(KOhm)\n",
- "R2=47.0 #feedback path resistance R2(KOhm)\n",
- "Vsat=13.5 #saturation voltage(V)\n",
- "\n",
- "B=R1/(R1+R2) #feedback fraction\n",
- "UTP=B*Vsat #upper trip point\n",
- "LTP=-B*Vsat #lower trip point\n",
- "H=UTP-LTP #hysteresis\n",
- "\n",
- "print 'lower trip point LTP = ',round(LTP,2),'V'\n",
- "print 'upper trip point LTP = ',round(UTP,2),'V'\n",
- "print 'hysteresis is ',round(H,2),'V'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "lower trip point LTP = -0.28 V\n",
- "upper trip point LTP = 0.28 V\n",
- "hysteresis is 0.56 V\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-7, Page 865"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "R=2 #inverting input resistance R1(KOhm)\n",
- "C=1*10**-6 #feedback path capacitance (F)\n",
- "T=1*10**-3 #time period(s)\n",
- "Vin=8 #input pulse voltage(V)\n",
- "AVOL=100000 #open loop voltage gain\n",
- "\n",
- "V=Vin*T/(R*C)/1000 #output voltage(V)\n",
- "t=R*C*(AVOL+1)*1000 #time constant(s)\n",
- "\n",
- "print 'Magnitude of negative output voltage at end of the pulse = ',V,'V'\n",
- "print 'closed loop time constant = ',t,'s'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Magnitude of negative output voltage at end of the pulse = 4.0 V\n",
- "closed loop time constant = 200.002 s\n"
- ]
- }
- ],
- "prompt_number": 19
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-8, Page 868"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "R1=1*10**3 #inverting input resistance R1(Ohm)\n",
- "R2=10*10**3 #feedback path resistance R2(Ohm)\n",
- "C=10*10**-6 #feedback path capacitance (F)\n",
- "Vin=5 #input pulse voltage(V)\n",
- "f=1*10**3 #input frequency(Hz)\n",
- "\n",
- "Vout=Vin/(2*f*R1*C) #output voltage(V)\n",
- "\n",
- "print 'peak to peak output voltage = ',Vout,'Vpp'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "peak to peak output voltage = 0.25 Vpp\n"
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-9, Page 868"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "Vs=15.0 #non-inverting input voltage(V)\n",
- "Rw=5.0*10**3 #inverting input wiper resistance(Ohm)\n",
- "R1=10.0*10**3 #inverting input resistance R1(Ohm)\n",
- "f=1.0 #input frequency(KHz) \n",
- "\n",
- "Vref=Vs*(Rw/(Rw+R1)) #reference voltage(V)\n",
- "T=1/f #period of signal(s)\n",
- "W=2*(T/2)*((Vs/2)-Vref)/Vs #output pulse width\n",
- "D=W/T #duty cycle\n",
- "\n",
- "print 'duty cycle D = ',round((D*100),2),'%'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "duty cycle D = 16.67 %\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-10, Page 871"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "import math\n",
- "\n",
- "R1=18.0 #non-inverting input resistance R1(KOhm)\n",
- "R2=2.0 #feedback path resistance R2(KOhm)\n",
- "R=1.0 #feedback path resistance R(KOhm)\n",
- "C=0.1*10**-6 #feedback path capacitance (F)\n",
- "\n",
- "B=R1/(R1+R2) #feedback fraction\n",
- "T=10**9*2*R*C*math.log((1+B)/(1-B)) #period of output(us)\n",
- "f=1000*1/T #frequency(KHz)\n",
- "\n",
- "print 'period T = ',round(T,2),'us'\n",
- "print 'frequency f = ',round(f,2),'KHz'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "period T = 588.89 us\n",
- "frequency f = 1.7 KHz\n"
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-11, Page 871"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "Vsat=13.5 #saturation voltage given(V)\n",
- "R4=10*10**3 #given resistance R4(Ohm)\n",
- "C2=10*10**-6 #given capacitance C2(F)\n",
- "T=589*10**-6 #period from preceding example(s)\n",
- "\n",
- "Vout=Vsat*T/(2*R4*C2) #output voltage (V) \n",
- "\n",
- "print 'Output voltage = ',round((Vout*1000),2),'mVpp'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Output voltage = 39.76 mVpp\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 22-12, Page 873"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "R1=1*10**3 #resistance R1(Ohm)\n",
- "R2=100*10**3 #resistance R2(Ohm)\n",
- "R3=10*10**3 #resistance R3(Ohm)\n",
- "C=10*10**-6 #capacitance (F)\n",
- "\n",
- "UTP=Vsat*R1/R2 #UTP value (V)\n",
- "Vout=2*UTP #output voltage/hysteresis (V)\n",
- "f=R2/(4*R1*R3*C) #frequency(Hz)\n",
- "\n",
- "print 'Vout = H = ',Vout,'V'\n",
- "print 'frequency f = ',f,'Hz'"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Vout = H = 0.27 V\n",
- "frequency f = 250.0 Hz\n"
- ]
- }
- ],
- "prompt_number": 37
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file