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+{
+ "metadata": {
+ "name": "",
+ "signature": ""
+ },
+ "nbformat": 3,
+ "nbformat_minor": 0,
+ "worksheets": [
+ {
+ "cells": [
+ {
+ "cell_type": "heading",
+ "level": 1,
+ "metadata": {},
+ "source": [
+ "Chapter5 - Feedback amplifiers"
+ ]
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.1 - page 383"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "# Given data\n",
+ "A= 800 # unit less\n",
+ "Af= 50 # unit less\n",
+ "# Formula Af= A/(1+Bita*A)\n",
+ "Beta= 1/Af-1/A \n",
+ "print \"Percentage of output which is feedback to the input = %0.3f %%\" %(Beta*100)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Percentage of output which is feedback to the input = 1.875 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 3
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.2 - page 384"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Af= 100 # unit less\n",
+ "Vi= 50 # in mV\n",
+ "Vi= Vi*10**-3 # in V\n",
+ "Vs= 0.5 # in V\n",
+ "# Formula Af= Vo/Vs\n",
+ "Vo= Af*Vs # in V\n",
+ "A= Vo/Vi \n",
+ "print \"Value of A is %0.f \"%A\n",
+ "# Formula Af= A/(1+B*A)\n",
+ "B= 1/Af-1/A \n",
+ "B=B*100 # in %\n",
+ "print \"Value of B is %0.1f %%\" %B"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of A is 1000 \n",
+ "Value of B is 0.9 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.3 - page 385"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Beta= 5/100 \n",
+ "f_H= 50 # in kHz\n",
+ "f_H= f_H*10**3 # in Hz\n",
+ "f_L= 50 # in kHz\n",
+ "Amid= 1000 \n",
+ "f_LF= f_L/(1+Beta*Amid) # in Hz\n",
+ "f_HF= f_H*(1+Beta*Amid) # in Hz\n",
+ "print \"Value of f_LF = %0.2f Hz\" %f_LF\n",
+ "print \"Value of f_HF = %0.2f MHz\" %(f_HF*10**-6)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of f_LF = 0.98 Hz\n",
+ "Value of f_HF = 2.55 MHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 5
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.4 - page 385"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "dAf_by_Af= 0.2/100 \n",
+ "dA_by_A= 150/2000 \n",
+ "A=2000 \n",
+ "# Formula dAf_by_Af = 1/(1+Bita*A) * dA_by_A\n",
+ "Beta= dA_by_A/(A*dAf_by_Af )-1/A \n",
+ "Af= A/(1+Beta*A) \n",
+ "print \"Value of Beta = %0.3f %%\" %(Beta*100)\n",
+ "print \"Value of Af is %0.2f \" %Af"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Beta = 1.825 %\n",
+ "Value of Af is 53.33 \n"
+ ]
+ }
+ ],
+ "prompt_number": 6
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.5 - page 386"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Av= 140 \n",
+ "Avf= 17.5 \n",
+ "# Formula Avf= Av/(1+Av*Beta)\n",
+ "Beta= 1/Avf-1/Av \n",
+ "print \"Fraction of the output is %0.2f \"%Beta"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Fraction of the output is 0.05 \n"
+ ]
+ }
+ ],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.6 - page 386"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Av= 100 \n",
+ "Avf= 50 \n",
+ "# Formula Avf= Av/(1+Av*Beta)\n",
+ "Beta= 1/Avf-1/Av \n",
+ "print \"The vlaue of beta is %0.2f\" %Beta\n",
+ "\n",
+ "# Part(ii)\n",
+ "Avf= 75 \n",
+ "# Formula Avf= Av/(1+Av*Beta)\n",
+ "Av= Avf/(1-Beta*Avf)\n",
+ "print \"Value of amplifier gain is %0.f \"%Av"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The vlaue of beta is 0.01\n",
+ "Value of amplifier gain is 300 \n"
+ ]
+ }
+ ],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.7 - page 387"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Av= 50 \n",
+ "Avf= 25 \n",
+ "# Formula Avf= Av/(1+Av*Beta)\n",
+ "Beta= 1/Avf-1/Av \n",
+ "# Part(i)\n",
+ "Av=50 \n",
+ "Avf= 40 \n",
+ "Perc_reduction= (Av-Avf)/Av*100 # Percentage of reduction in stage gain in %\n",
+ "print \"Without feedback, percentage of reduction in stage gain = %0.f %%\" %(Perc_reduction)\n",
+ "\n",
+ "# Part(ii)\n",
+ "Av= 40 \n",
+ "Avf= 25 \n",
+ "gain_with_neg_feed= Av/(1+Beta*Av) \n",
+ "Perc_reduction= (Avf-gain_with_neg_feed)/Avf*100 # in %\n",
+ "print \"With feedback, percentage reduction in stage gain = %0.1f %%\" %Perc_reduction"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Without feedback, percentage of reduction in stage gain = 20 %\n",
+ "With feedback, percentage reduction in stage gain = 11.1 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 9
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.8 - page 387"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import pi\n",
+ "# Given data\n",
+ "Ao= 10**4 \n",
+ "Afo= 50 \n",
+ "omega_H= 2*pi*100 # in rad/s\n",
+ "# Formula Afo= Ao/(1+Ao*Beta)\n",
+ "Beta= 1/Afo-1/Ao \n",
+ "omega_f_H= omega_H*(1+Ao*Beta) \n",
+ "print \"Closed loop bandwidth in rad/s is\",omega_f_H,\"or 2*pi*20*10**3\" "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Closed loop bandwidth in rad/s is 125663.706144 or 2*pi*20*10**3\n"
+ ]
+ }
+ ],
+ "prompt_number": 10
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.10 - page 399"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import inf\n",
+ "# Given data\n",
+ "gm=50 \n",
+ "R_E= 100 # in ohm\n",
+ "R_S= 1 # in kohm\n",
+ "R_S=R_S*10**3 # in ohm\n",
+ "r_pi= 1100 # in ohm\n",
+ "h_ie= r_pi \n",
+ "# Formula Av= Vo/Vs, But Vo= gm*vpi*R_E and Vs= Ib*(Ri+rpi), so\n",
+ "Av= gm*R_E/(R_S+h_ie)\n",
+ "# As Vo=Vf, so\n",
+ "Beta=1 \n",
+ "D= 1+Beta*Av \n",
+ "Avf= Av/D \n",
+ "Ri= R_S+r_pi # in ohm\n",
+ "Ri= Ri*10**-3 # in kohm\n",
+ "R_if= Ri*D # in kohm\n",
+ "Ro= inf # ohm\n",
+ "Rof= Ro*D # ohm\n",
+ "print \"Value of Av = %0.2f \" %Av\n",
+ "print \"Value of Beta = %0.f\" %Beta\n",
+ "print \"Value of Avf = %0.2f\" %Avf\n",
+ "print \"Value of Ri = %0.2f kohm\" %Ri\n",
+ "print \"Value of R_if = %0.2f kohm\" % R_if\n",
+ "print \"Value of R_of = %0.2f \" % Rof\n",
+ "# Answer slightly mismatch because of calculation accuracy in the textbook."
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Av = 2.38 \n",
+ "Value of Beta = 1\n",
+ "Value of Avf = 0.70\n",
+ "Value of Ri = 2.10 kohm\n",
+ "Value of R_if = 7.10 kohm\n",
+ "Value of R_of = inf \n"
+ ]
+ }
+ ],
+ "prompt_number": 11
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.11 - page 400"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "gm=2 # in mA/V\n",
+ "gm=gm*10**-3 # in A/V\n",
+ "r_d= 40 # in kohm\n",
+ "r_d= r_d*10**3 # in ohm\n",
+ "Rs= 3 # in kohm\n",
+ "Rs= Rs*10**3 # in ohm\n",
+ "miu= gm*r_d \n",
+ "Bita=1 \n",
+ "Av= miu*Rs/(r_d+Rs) \n",
+ "D= 1+Bita*Av \n",
+ "Avf= Av/D \n",
+ "Ri=inf # ohm\n",
+ "R_if = Ri*D # ohm\n",
+ "Rof= r_d/D # in ohm\n",
+ "print \"Value of Av = %0.2f \" %Av\n",
+ "print \"Value of D = %0.2f \" %D\n",
+ "print \"Value of Avf = %0.3f \" %Avf\n",
+ "print \"Value of R_if = %0.2f \" % R_if\n",
+ "print \"Value of R_of = %0.2e \" % Rof"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Av = 5.58 \n",
+ "Value of D = 6.58 \n",
+ "Value of Avf = 0.848 \n",
+ "Value of R_if = inf \n",
+ "Value of R_of = 6.08e+03 \n"
+ ]
+ }
+ ],
+ "prompt_number": 12
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.12 - page 406"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "gm=75 # in A/V\n",
+ "Rs= 1 # in kohm\n",
+ "Rs= Rs*10**3 # in ohm\n",
+ "R_E= 1 # in kohm\n",
+ "R_E= R_E*10**3 # in ohm\n",
+ "rpi= 1 # in kohm\n",
+ "rpi= rpi*10**3 # in ohm\n",
+ "hie=rpi \n",
+ "\n",
+ "Io= -gm \n",
+ "Vi= Rs+R_E+rpi \n",
+ "Gm= Io/Vi \n",
+ "print \"Value of Gm = %0.3f \" %Gm\n",
+ "Beta=-R_E \n",
+ "print \"Value of Beta = %0.f \" %Beta\n",
+ "D= 1+Beta*Gm \n",
+ "print \"Value of D = %0.f \" %D\n",
+ "Gmf= -Gm/D \n",
+ "print \"Value of Gmf = %0.1e\" %Gmf\n",
+ "Ri= Rs+R_E+hie # in ohm\n",
+ "Rif= Ri*D # in ohm\n",
+ "Rif=Rif*10**-3 # in kohm\n",
+ "print \"Value of Rif = %0.f kohm\" %Rif\n",
+ "Ro=inf \n",
+ "R_of = Ro*D # ohm\n",
+ "print \"Value of R_of = %0.2f \" %R_of"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Gm = -0.025 \n",
+ "Value of Beta = -1000 \n",
+ "Value of D = 26 \n",
+ "Value of Gmf = 9.6e-04\n",
+ "Value of Rif = 78 kohm\n",
+ "Value of R_of = inf \n"
+ ]
+ }
+ ],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.19 - page 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "A= 10**5 \n",
+ "Af= 100 \n",
+ "# Formula Af= A/(1+A*Bita)\n",
+ "Bita= 1/Af-1/A \n",
+ "\n",
+ "\n",
+ "#when A= 10**3\n",
+ "A=10**3 \n",
+ "Af_desh= A/(1+A*Bita) \n",
+ "\n",
+ "delta_Af= Af_desh-Af \n",
+ "Perc_Change_inAf= delta_Af/Af*100 # in %\n",
+ "print \"Percentage change in Af = %0.f %% \" %Perc_Change_inAf"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Percentage change in Af = -9 % \n"
+ ]
+ }
+ ],
+ "prompt_number": 14
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.20 - page 417"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from numpy import log10\n",
+ "# Given data\n",
+ "A= 100 \n",
+ "Vs=1 # in volt\n",
+ "Beta=1 # as in the voltage follower, the output voltage is same as input\n",
+ "Af= A/(1+Beta*A) \n",
+ "CLG= 1+A*Beta # closed loop gain\n",
+ "print \"Closed loop gain = %0.f\" %CLG\n",
+ "CLG_dB= 20*log10(CLG) \n",
+ "print \"Closed loop gain = %0.1f dB\" %CLG_dB\n",
+ "Vo= Af*Vs # in V\n",
+ "print \"Value of Vo = %0.2f Volt\" %Vo\n",
+ "Vi= Vs-Vo # in V\n",
+ "print \"Value of Vi = %0.2f mV\" %round(Vi*10**3)\n",
+ "# If A decrease 10%,i.e.\n",
+ "A=90 \n",
+ "Af_desh= A/(1+Beta*A) \n",
+ "Per_gain_reduction= (Af_desh-Af)/Af*100 # in %\n",
+ "print \"Percentage of gain reduction = %0.1f %%\" %Per_gain_reduction"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Closed loop gain = 101\n",
+ "Closed loop gain = 40.1 dB\n",
+ "Value of Vo = 0.99 Volt\n",
+ "Value of Vi = 10.00 mV\n",
+ "Percentage of gain reduction = -0.1 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 15
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.21 - page 418"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "# Part (a)\n",
+ "PerError= 1 # in %\n",
+ "A= 10**5 # (Assumed value)\n",
+ "ABita= 1/PerError*100 \n",
+ "Bita= 1/(PerError*A) \n",
+ "print \"% error A A\u00df 1+A\u00df\"\n",
+ "print PerError,\" %.e\"%A,\" \",ABita,\" \",1+ABita\n",
+ "# Part (b)\n",
+ "PerError= 5 # in %\n",
+ "ABita= 1/PerError*100 \n",
+ "Bita= 1/(PerError*A) \n",
+ "print PerError,\" %.e\"%A,\" \",ABita,\" \",1+ABita\n",
+ "# Part (c)\n",
+ "PerError= 50 # in %\n",
+ "ABita= 1/PerError*100 \n",
+ "Bita= 1/(PerError*A) \n",
+ "print PerError,\" %.e\"%A,\" \",ABita,\" \",1+ABita"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "% error A A\u00df 1+A\u00df\n",
+ "1 1e+05 100.0 101.0\n",
+ "5 1e+05 20.0 21.0\n",
+ "50 1e+05 2.0 3.0\n"
+ ]
+ }
+ ],
+ "prompt_number": 16
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.22 - page 419"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "S= -20 # sensitivity of closed to open loop gain in dB\n",
+ "# sensitivity of closed to open loop gain = 1/(1+AB) = S\n",
+ "# or (1+AB) = -S\n",
+ "AB= 10**(-S/20) - 1 \n",
+ "print \"The loop gain AB = %0.2f, \\nfor which the sensitivity of closed loop gain to open loop gain is -20 dB\" %AB\n",
+ "\n",
+ "# Part (b) when \n",
+ "S= 1/2 # sensitivity of closed to open loop gain in dB\n",
+ "#S= 1/(1+AB)\n",
+ "AB= 1/S-1 \n",
+ "print \"The loop gain AB = %0.2f, \\nfor which the sensitivity of closed loop gain to open loop gain is 1/2 \" %AB"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The loop gain AB = 9.00, \n",
+ "for which the sensitivity of closed loop gain to open loop gain is -20 dB\n",
+ "The loop gain AB = 1.00, \n",
+ "for which the sensitivity of closed loop gain to open loop gain is 1/2 \n"
+ ]
+ }
+ ],
+ "prompt_number": 17
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.23 - page 419"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "#Given Data\n",
+ "A = 1e5\n",
+ "Af = 1e3\n",
+ "Beta = 0.99*1e-3 \n",
+ "GDF = 1+A*Beta\n",
+ "print \"Gain density factor %0.2f\" %GDF\n",
+ "# part (a)\n",
+ "A_dash = A*90/100\n",
+ "Af_dash = A_dash/(1+A_dash*Beta)\n",
+ "cp = (Af-Af_dash)/Af*100 # Corresponding %\n",
+ "print \"(a) Corresponding % =\",round(cp,2),\"%\"\n",
+ "# part (a)\n",
+ "A_dash = A*70/100\n",
+ "Af_dash = A_dash/(1+A_dash*Beta)\n",
+ "cp = (Af-Af_dash)/Af*100 # Corresponding %\n",
+ "print \"(b) Corresponding % =\",round(cp,2),\"%\""
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Gain density factor 100.00\n",
+ "(a) Corresponding % = 0.11 %\n",
+ "(b) Corresponding % = 0.43 %\n"
+ ]
+ }
+ ],
+ "prompt_number": 18
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.24 - page 420"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "A=100 \n",
+ "Af= 10 \n",
+ "f_L= 100 # in Hz\n",
+ "f_H= 10 # in kHz\n",
+ "# Af= A/(1+A*Bita)\n",
+ "Bita= 1/Af-1/A \n",
+ "f_desh_L= f_L/(1+A*Bita) # in Hz\n",
+ "f_desh_H= f_H/(1+A*Bita) # in kHz\n",
+ "print \"Low frequency = %0.2f Hz\" %f_desh_L\n",
+ "print \"High frequency = %0.2f kHz\" %f_desh_H\n",
+ "\n",
+ "# Note: In the book Calculation to find the value of high frequency i.e. f_desh_H is wrong so the answer in the book is wrong "
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Low frequency = 10.00 Hz\n",
+ "High frequency = 1.00 kHz\n"
+ ]
+ }
+ ],
+ "prompt_number": 19
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.25 - page 420"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Vs= 100 # in mV\n",
+ "Vf= 95 # in mV\n",
+ "Vs= Vs*10**-3 # in V\n",
+ "Vf= Vf*10**-3 # in V\n",
+ "Vo=10 # in V\n",
+ "Vi= Vs-Vf # in V\n",
+ "Av= Vo/Vi # in V/V\n",
+ "print \"Value of Av = %0.e V/V\" %Av\n",
+ "Beta= Vf/Vo # in V/V\n",
+ "print \"Value of Bita = %0.1e V/V\" %Beta\n",
+ "\n",
+ "# Note: In the book Calculation to find the value of Beta is wrong so the asnwer in the book is wrong"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Av = 2e+03 V/V\n",
+ "Value of Bita = 9.5e-03 V/V\n"
+ ]
+ }
+ ],
+ "prompt_number": 20
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.26 - page 420"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "Is= 100 # in \u00b5A\n",
+ "Is= Is*10**-6 # in A\n",
+ "If= 95 # in \u00b5A\n",
+ "Io= 10 # in mA\n",
+ "A= Io*1e-3/((Is-If)*1e-6) # n A/A\n",
+ "Beta= If/Io # A/A\n",
+ "print \"Value of Av = %0.e V/V\" %Av\n",
+ "print \"Value of Beta = %0.1f \u00b5A/mA\" %Beta\n",
+ "# Note: In the book , to evaluating the value of Beta, they putted wrong value of If (90 at place of 95)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "Value of Av = 2e+03 V/V\n",
+ "Value of Beta = 9.5 \u00b5A/mA\n"
+ ]
+ }
+ ],
+ "prompt_number": 21
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.28 - page 422"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "# Given data\n",
+ "A=2000 #V/V\n",
+ "Beta= 0.1 # inV/V\n",
+ "Ri= 1 # in kohm\n",
+ "Ri= Ri*10**3 # in ohm\n",
+ "Ro= 1 # in kohm\n",
+ "Ro= Ro*10**3 # in ohm\n",
+ "Af= A/(1+A*Bita) \n",
+ "print \"The gain Af = %0.2f \"%Af\n",
+ "Rif= Ri*(1+A*Beta) # in ohm\n",
+ "print \"The input resistance = %0.f kohm\" %(Rif*10**-3)\n",
+ "Rof= Ro*1e3/(1+A*Beta) # in ohm\n",
+ "print \"The output resistance = %0.3f kohm\" %(Rof*10**-3)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "The gain Af = 11.05 \n",
+ "The input resistance = 201 kohm\n",
+ "The output resistance = 4.975 kohm\n"
+ ]
+ }
+ ],
+ "prompt_number": 22
+ },
+ {
+ "cell_type": "heading",
+ "level": 2,
+ "metadata": {},
+ "source": [
+ "Exa 5.29 - page 423"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "from __future__ import division\n",
+ "# Given data\n",
+ "\n",
+ "# Part (b)\n",
+ "Af= 10 \n",
+ "A= 10**4 \n",
+ "# Af= A/(1+A*Beta) \n",
+ "Beta= 1/Af-1/A \n",
+ "# Beta= R1/(R1+R2)\n",
+ "R2_by_R1= 1/Beta-1 \n",
+ "print \"(b) Value of R2/R1 = %0.2f\" %R2_by_R1\n",
+ "\n",
+ "# Part (c)\n",
+ "Vs= 1 # in V\n",
+ "Vo= (1+R2_by_R1)*Vs \n",
+ "print \"(c) Value of Vo = %0.2f Volt\" %Vo\n",
+ "Vf= Vo/(1+R2_by_R1)\n",
+ "print \"Value of Vf = %0.2f Volt\" %Vf"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "output_type": "stream",
+ "stream": "stdout",
+ "text": [
+ "(b) Value of R2/R1 = 9.01\n",
+ "(c) Value of Vo = 10.01 Volt\n",
+ "Value of Vf = 1.00 Volt\n"
+ ]
+ }
+ ],
+ "prompt_number": 23
+ }
+ ],
+ "metadata": {}
+ }
+ ]
+}