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+{
+ "metadata": {
+ "name": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter 15 : Operational Amplifier"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.1a, Page No 572"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "#initialisation of variables\n",
+ "v11=50.0 #in microV\n",
+ "v21=-50.0 #in microV\n",
+ "#Second Set of Input Signal\n",
+ "v12=1050.0 #in microV\n",
+ "v22=950.0 #in microV\n",
+ "p=100.0 #Common Mode Rejection Ratio\n",
+ "\n",
+ "#Required Formulae\n",
+ "#vo = Ad*vd*(1+vc/p*vd) .... p = commom mode rejection ratio\n",
+ "#Ad will be same for both case, So let us write Vo = vo/Ad = Ad*(1+vc/p*vd)\n",
+ "\n",
+ "#Calculations\n",
+ "#First Set of Values\n",
+ "vd1=v11-v21#in microV\n",
+ "vc1=(v11+v21)/2#in microV\n",
+ "Vo1 = vd1*(1+vc1/(p*vd1))\n",
+ "\n",
+ "#Second Set of Values\n",
+ "vd2=v12-v22#in microV\n",
+ "vc2=(v12+v22)/2#in microV\n",
+ "Vo2 = vd2*(1+vc2/(p*vd2))\n",
+ "\n",
+ "#Results\n",
+ "print(\"Percentage difference in output signal = %.2f v \" %(100*(Vo2-Vo1)/Vo1))\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Percentage difference in output signal = 10.00 v \n"
+ ]
+ }
+ ],
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.1b, Page No 572"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "v11=50.0 #in microV\n",
+ "v21=-50.0 #in microV\n",
+ "#Second Set of Input Signal\n",
+ "v12=1050.0 #in microV\n",
+ "v22=950.0 #in microV\n",
+ "p=100.0 #Common Mode Rejection Ratio\n",
+ "\n",
+ "#Required Formulae\n",
+ "#vo = Ad*vd*(1+vc/p*vd) .... p = commom mode rejection ratio\n",
+ "#Ad will be same for both case, So let us write Vo = vo/Ad = Ad*(1+vc/p*vd)\n",
+ "\n",
+ "#Calculations\n",
+ "#First Set of Values\n",
+ "vd1=v11-v21#in microV\n",
+ "vc1=(v11+v21)/2#in microV\n",
+ "Vo1 = vd1*(1+vc1/(p*vd1))\n",
+ "\n",
+ "#Second Set of Values\n",
+ "vd2=v12-v22#in microV\n",
+ "vc2=(v12+v22)/2#in microV\n",
+ "Vo2 = vd2*(1+vc2/(p*vd2))\n",
+ "\n",
+ "\n",
+ "#Now we have to calculate the same thing with common mode rejection ratio = 10000\n",
+ "\n",
+ "p=10000#Common Mode Rejection Ratio\n",
+ "\n",
+ "#First Set of Values\n",
+ "vd1=v11-v21#in microV\n",
+ "vc1=(v11+v21)/2#in microV\n",
+ "Vo1 = vd1*(1+vc1/(p*vd1))\n",
+ "\n",
+ "#Second Set of Values\n",
+ "vd2=v12-v22#in microV\n",
+ "vc2=(v12+v22)/2#in microV\n",
+ "Vo2 = vd2*(1+vc2/(p*vd2))\n",
+ "\n",
+ "#Results\n",
+ "print(\"Percentage difference in output signal = %.2f v \" %(100*(Vo2-Vo1)/Vo1))\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Percentage difference in output signal = 0.10 v \n"
+ ]
+ }
+ ],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.2 Page No 576"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "Vbe1=0.7\n",
+ "Vce3=0.2\n",
+ "I3=5.0\n",
+ "R3=0.4\n",
+ "Vee=5\n",
+ "Vcc=5\n",
+ "Ic1=2.5\n",
+ "Rc=1.0\n",
+ "\n",
+ "#Calculations\n",
+ "Vcmmin=Vbe1+Vce3+(I3*R3)-Vee\n",
+ "Vcmmax=Vcc-(Ic1*Rc)+0.6\n",
+ "\n",
+ "#Results\n",
+ "print(\"The Vcm can vary from = %.2f v to \" %Vcmmin)\n",
+ "print(\"%.2f v \" %Vcmmax)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The Vcm can vary from = -2.10 v to \n",
+ "3.10 v \n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.3 Page No 583"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "Vbe2=0.7\n",
+ "Vce1=0.2\n",
+ "I1=0.99\n",
+ "R1=2.2\n",
+ "Vee=6\n",
+ "Vcc=6\n",
+ "Ic2=0.495\n",
+ "R2=7.75\n",
+ "Vbc2=0.6\n",
+ "\n",
+ "#Calculations\n",
+ "Vcmmin=Vbe2+Vce1+(I1*R1)-Vee\n",
+ "Vcmmax=Vcc-(Ic2*R2)+0.6\n",
+ "\n",
+ "#Results\n",
+ "print(\"The Vcm can vary from = %.2f v to \" %Vcmmin)\n",
+ "print(\"%.2f v \" %Vcmmax)\n"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The Vcm can vary from = -2.92 v to \n",
+ "2.76 v \n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Example 15.4 Page No 596"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import math\n",
+ "\n",
+ "#initialisation of variables\n",
+ "\n",
+ "f=32.0 #feedback in dB\n",
+ "#from the Bodes plot we get that Avo = 2510\n",
+ "Avo = 2510.0 #gain\n",
+ "print('The parameters are R , r (for Rdash), C (for Cdash)')\n",
+ "#Desensivity D = B*Rmo = Avo*(R/(R+r))\n",
+ "#20log10(D ) = f\n",
+ "\n",
+ "#Calculations\n",
+ "k = f - (20*math.log(Avo,10))\n",
+ "#Let (R+r)/R = l\n",
+ "l = 1.0/(10**(k/20))\n",
+ "#R/(R+r) = fp/fz\n",
+ "#For 45degree phase margin and 32dB of low frequency feedback we find by trial and error method from the graph\n",
+ "fz = 10#in MHz\n",
+ "fp = fz*l\n",
+ "#to determine c we can arbitrarily choose R\n",
+ "R = 1000.0 #in ohm\n",
+ "\n",
+ "#Results\n",
+ "print(\"R = %.2f ohm \" %R)\n",
+ "r = (l-1)*R\n",
+ "print(\"r = %.2f ohm \" %r)\n",
+ "C = 1/(2*math.pi*fz*r*10**-6)\n",
+ "print(\"C = %.2f pF \" %C)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The parameters are R , r (for Rdash), C (for Cdash)\n",
+ "R = 1000.00 ohm \n",
+ "r = 62048.35 ohm \n",
+ "C = 0.26 pF \n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+} \ No newline at end of file
generated by cgit (git 2.34.1) at 2025-01-09 02:43:58 +0000