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  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h1>Chapter 6: BJT Amplifiers<h1>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.1, Page Number: 171<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\n",
        "For more information, type 'help(pylab)'."
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# result\n",
      "\n",
      "print \"theoretical example\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "theoretical example"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.2, Page Number: 174<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# variable declaration\n",
      "I_E=2.0*10**-3;   #emittor current\n",
      "\n",
      "#calculation\n",
      "r_e=25.0*10**-3/I_E;  #ac emitter resistance\n",
      "\n",
      "#result\n",
      "print \"ac emitter resistance = %.2f ohms\" %r_e "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "ac emitter resistance = 12.50 ohms"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.3, Page Number: 178<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# variable declaration\n",
      "I_E=3.8*10**-3;    #emittor current\n",
      "B_ac=160.0;        #AC value\n",
      "R1=22*10**3;       #resistance in ohm\n",
      "R2=6.8*10**3;      #resistance in ohm\n",
      "R_s=300.0;         #resistance in ohm\n",
      "V_s=10.0*10**-3;   #voltage in volt\n",
      "r_e=25.0*10**-3/I_E;  \n",
      "\n",
      "#calculation\n",
      "R_in_base=B_ac*r_e;   #base resistance\n",
      "R_in_tot=(R1*R2*R_in_base)/(R_in_base*R1+R_in_base*R2+R1*R2);\n",
      "V_b=(R_in_tot/(R_in_tot+R_s))*V_s;  #base voltage\n",
      "\n",
      "#result\n",
      "print \"voltage at the base of the transistor = %.3f volts\" %V_b"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "voltage at the base of the transistor = 0.007 volts"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.4, Page Number: 180<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "import math\n",
      "# variable declaration\n",
      "R_E=560.0;     #resistance in ohm\n",
      "f=2*10**3;     #minimum value of frequency in hertz\n",
      "X_C=R_E/10.0;  #minimum value of capacitive reactance\n",
      "\n",
      "#calculation\n",
      "C2=1.0/(2.0*math.pi*X_C*f); #capacitor \n",
      "\n",
      "#result\n",
      "print \"value of bypass capacitor = %.7f farads\" %C2"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "value of bypass capacitor = 0.0000014 farads"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.5, Page Number: 181<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "import math\n",
      "# variable declaration\n",
      "r_e=6.58;      #from ex6.3\n",
      "R_C=1.0*10**3; #collector resistance\n",
      "R_E=560;       #emittor resistance\n",
      "\n",
      "#calculation\n",
      "A_v=R_C/(R_E+r_e);   #gain without bypass capacitor\n",
      "A_v1=R_C/r_e;        #gain with bypass capacitor\n",
      "print \"gain without bypass capacitor = %.2f\" %A_v\n",
      "print \"gain in the presence of bypass capacitor = %.2f\" %A_v1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "gain without bypass capacitor = 1.76\n",
        "gain in the presence of bypass capacitor = 151.98"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.6, Page Number: 182<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# variable declaration\n",
      "R_C=10.0**3;    #resistance in ohm\n",
      "R_L=5.0*10**3;  #inductor resistance\n",
      "r_e=6.58;       #r_e value\n",
      "\n",
      "#calculation\n",
      "R_c=(R_C*R_L)/(R_C+R_L);  #collector resistor\n",
      "A_v=R_c/r_e;              #gain with load\n",
      "\n",
      "#result\n",
      "print \"ac collector resistor = %.2f ohms\" %R_c\n",
      "print \"gain with load = %.2f\" %A_v"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "ac collector resistor = 833.33 ohms\n",
        "gain with load = 126.65"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.7, Page Number: 184<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "# variable declaration\n",
      "R_C=3.3*10**3;   #resistance in ohm\n",
      "R_E1=330.0;      #emitter resistance\n",
      "\n",
      "#calculation\n",
      "A_v=R_C/R_E1;    #voltage gain\n",
      "\n",
      "#result\n",
      "print \"approximate voltage gain as R_E2 is bypassed by C2 = %.2f\" %A_v"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "approximate voltage gain as R_E2 is bypassed by C2 = 10.00"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.8, Page Number: 184<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "import math\n",
      "B_DC=150.0;\n",
      "B_ac=175.0;\n",
      "V_CC=10.0;\n",
      "V_s=10.0*10**-3;\n",
      "R_s=600.0;\n",
      "R1=47.0*10**3;\n",
      "R2=10.0*10**3;\n",
      "R_E1=470.0;\n",
      "R_E2=470.0;\n",
      "R_C=4.7*10**3;\n",
      "R_L=47.00*10**3;\n",
      "R_IN_base=B_DC*(R_E1+R_E2);\n",
      "#since R_IN_base is ten times more than R2,it can be neglected in DC voltage calculation\n",
      "V_B=(R2/(R2+R1))*V_CC;\n",
      "V_E=V_B-0.7;\n",
      "I_E=V_E/(R_E1+R_E2);\n",
      "I_C=I_E;\n",
      "V_C=V_CC-I_C*R_C;\n",
      "print('dc collector voltage = %.3f volts'%V_C)\n",
      "r_e=25.0*10**-3/I_E;\n",
      "#base resistance\n",
      "R_in_base=B_ac*(r_e+R_E1);\n",
      "#total input resistance\n",
      "R_in_tot=(R1*R2*R_in_base)/(R1*R2+R_in_base*R1+R_in_base*R2);\n",
      "attenuation=R_in_tot/(R_s+R_in_tot);\n",
      "#ac collector resistance\n",
      "R_c=R_C*R_L/(R_C+R_L);\n",
      "#voltage gain from base to collector\n",
      "A_v=R_c/R_E1;\n",
      "#overall voltage gain A_V\n",
      "A_V=A_v*attenuation;\n",
      "#rms voltage at collector V_c\n",
      "V_c=A_V*V_s;\n",
      "V_out_p=math.sqrt(2)*V_c;\n",
      "print('V_out peak = %d mV'%(V_out_p*1000))\n",
      "\n",
      "################Waveform plotting##############################\n",
      "\n",
      "import pylab\n",
      "import numpy \n",
      "\n",
      "t = arange(0.0, 4.0, 0.0005)\n",
      "\n",
      "\n",
      "subplot(121)\n",
      "plot(t, V_C+V_c*sin(2*pi*t))\n",
      "ylim( (4.63,4.82) )\n",
      "title('Collector Voltage')\n",
      "\n",
      "subplot(122)\n",
      "plot(t, -V_s*sin(2*pi*t))\n",
      "plot(t, V_out_p*sin(2*pi*t))\n",
      "ylim( (-0.15,0.15) )\n",
      "title('Source and output AC voltage')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "dc collector voltage = 4.728 volts\n",
        "V_out peak = 119 mV"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.text.Text at 0xad2caac>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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SKH2oPXIRMucC6Lr60rMar8fjwa9+9SuMGzfOX8V38eLFOHnyJM466yy0trYi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\nAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.9,Page Number: 190<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# variable declaration\n",
      "R_E=10.0**3;      #emitter resistance\n",
      "R_L=10.0**3;      #resistance in ohm\n",
      "R1=18.0*10**3;    #R1 in ohm\n",
      "R2=18.0*10**3;    #R2 in ohm\n",
      "B_ac=175.0;      #AC value\n",
      "V_CC=10.0;       #voltage in volt\n",
      "V_BE=0.7;      #base-emitter voltage\n",
      "V_in=1.0;        #input voltage in volt\n",
      "\n",
      "#calculation\n",
      "\n",
      "R_e=(R_E*R_L)/(R_E+R_L);        #ac emitter resistance R_e\n",
      "R_in_base=B_ac*R_e;             #resistance from base R_in_base\n",
      "\n",
      "#total input resiatance R_in_tot\n",
      "R_in_tot=(R1*R2*R_in_base)/(R1*R2+R1*R_in_base+R2*R_in_base);\n",
      "print \"total input resistance = %.2f ohms\" %R_in_tot\n",
      "V_E=((R2/(R1+R2))*V_CC)-V_BE;   #emitter voltage\n",
      "I_E=V_E/R_E;                    #emitter current\n",
      "r_e=25.0*10**-3/I_E;            #emitter resistance\n",
      "A_v=R_e/(r_e+R_e);\n",
      "print \"voltage gain =  %.2f\" %A_v\n",
      "#ac emitter current I_e\n",
      "#V_e=A_v*V_b=1V\n",
      "V_e=1.0;                          #V_evoltage\n",
      "I_e=V_e/R_e;                    #emitter current\n",
      "I_in=V_in/R_in_tot;             #input current in ampere\n",
      "A_i=I_e/I_in;                   #current gain\n",
      "print \"current gain = %.2f\" %A_i\n",
      "A_p=A_i;                        #power gain\n",
      "#since R_L=R_E, one half of the total power is disspated to R_L\n",
      "A_p_load=A_p/2.0;                 #power load\n",
      "print \"power gain delivered to load = %.2f\" %A_p_load"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "total input resistance = 8160.62 ohms\n",
        "voltage gain =  0.99\n",
        "current gain = 16.32\n",
        "power gain delivered to load = 8.16"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.10, Page Number: 193<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# variable declaration\n",
      "V_CC=12.0;        #source voltage in volt\n",
      "V_BE=0.7;         #base-emitter volatge\n",
      "R_C=1.0*10**3;    #resistance in ohm\n",
      "r_e_ce=5.0;       #for common emitter amplifier\n",
      "R1=10.0*10**3;    #resistance in ohm\n",
      "R2=22.0*10**3;    #resistance in ohm  \n",
      "R_E=22.0;         #emitter resistance in ohm\n",
      "R_L=8.0;          #load resistance in ohm\n",
      "B_DC=100.0;       #dc value\n",
      "B_ac=100.0;       #ac value\n",
      "\n",
      "#calculation\n",
      "pt=R2+B_DC**2*R_E     #temp variable\n",
      "V_B=((R2*B_DC**2*R_E/(pt))/(R1+(R2*B_DC**2*R_E/(pt))))*V_CC;\n",
      "V_E=V_B-2.0*V_BE;      #emitter voltage\n",
      "I_E=V_E/R_E;           #emitter current\n",
      "r_e=25.0*10**-3/I_E;   #for darlington emitter-follower\n",
      "P_R_E=I_E**2*R_E;      #power dissipated by R_E\n",
      "P_Q2=(V_CC-V_E)*I_E    #power dissipated by transistor Q2\n",
      "R_e=R_E*R_L/(R_E+R_L); #ac emitter resi. of darlington emitter follower\n",
      "#total input resistance of darlington\n",
      "kt=R_e+r_e             #temp varaible\n",
      "R_in_tot=R1*R2*B_ac**2*(kt)/(R1*R2+R1*B_ac**2*(kt)+R2*B_ac**2*(kt));    \n",
      "R_c=R_C*R_in_tot/(R_C+R_in_tot);    #effective ac resistance\n",
      "A_v_CE=R_c/r_e_ce;     #voltage gain of common emitter\n",
      "A_v_EF=R_e/(r_e+R_e);  #voltage gain of common emitter amplifier\n",
      "A_v=A_v_CE*A_v_EF;     #overall voltage gain\n",
      "\n",
      "#result\n",
      "print \"voltage gain of common emitter amplifier= %.2f\" %A_v_CE\n",
      "print \"voltage gain of common emitter amplifier= %.2f\" %A_v_EF\n",
      "print \"overall voltage gain = %.2f\" %A_v"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "voltage gain of common emitter amplifier= 172.08\n",
        "voltage gain of common emitter amplifier= 0.99\n",
        "overall voltage gain = 169.67"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.11, Page Number: 196<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "# variable declaration\n",
      "B_DC=250.0;    #dc value\n",
      "R_C=2.2*10**3; #resistance in ohm\n",
      "R_E=1.0*10**3; #emitter resistance\n",
      "R_L=10.0*10**3;#load resistance\n",
      "R1=56.0*10**3; #resistance in ohm\n",
      "R2=12.0*10**3; #resistance in ohm\n",
      "V_BE=0.7;      #base-emitter voltage in volt\n",
      "V_CC=10.0;     #source voltage in volt\n",
      "\n",
      "#calculation\n",
      "#since B_DC*R_E>>R2\n",
      "V_B=(R2/(R1+R2))*V_CC;\n",
      "V_E=V_B-V_BE;   #emiiter voltage\n",
      "I_E=V_E/R_E;    #emitter current\n",
      "r_e=25.0*10**-3/I_E;  #r_e value\n",
      "R_in=r_e;       #input resistance\n",
      "R_c=R_C*R_L/(R_C+R_L);    #ac collector resistance\n",
      "A_v=R_c/r_e;    #current gain\n",
      "#current gain is almost 1\n",
      "#power gain is approximately equal to voltage gain\n",
      "A_p=A_v;  #power gain\n",
      "A_i=1;    #current gain\n",
      "\n",
      "#result\n",
      "print \"input resistance = %.2f ohms\" %R_in\n",
      "print \"voltage gain = %.2f\" %A_v\n",
      "print \"current gain = %.2f\" %A_i\n",
      "print \"power gain = %.2f\" %A_p"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "input resistance = 23.48 ohms\n",
        "voltage gain = 76.80\n",
        "current gain = 1.00\n",
        "power gain = 76.80"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<h3>Example 6.12, Page Number: 197<h3>"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "\n",
      "import math\n",
      "# variable declaration\n",
      "A_v1=10.0;\n",
      "A_v2=15.0;\n",
      "A_v3=20.0;\n",
      "\n",
      "#calcultion\n",
      "A_v=A_v1*A_v2*A_v3;    #overall voltage gain\n",
      "A_v1_dB=20.0*math.log10(A_v1); #gain in decibel\n",
      "A_v2_dB=20.0*math.log10(A_v2); #gain in decibel\n",
      "A_v3_dB=20.0*math.log10(A_v3); #gain in decibel\n",
      "A_v_dB=A_v1_dB+A_v2_dB+A_v3_dB;        #total gain in decibel\n",
      "\n",
      "#result\n",
      "print \"overall voltage gain = %.1f\" %A_v\n",
      "print \"Av1 = %.1f dB\" %A_v1_dB\n",
      "print \"Av2 = %.1f dB\" %A_v2_dB\n",
      "print \"Av3 = %.1f dB\" %A_v3_dB\n",
      "print \"total voltage gain =%.1f dB\" %A_v_dB"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "overall voltage gain = 3000.0\n",
        "Av1 = 20.0 dB\n",
        "Av2 = 23.5 dB\n",
        "Av3 = 26.0 dB\n",
        "total voltage gain =69.5 dB"
       ]
      }
     ],
     "prompt_number": 13
    }
   ],
   "metadata": {}
  }
 ]
}