{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 31 : Power Amplifiers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_1 Page No. 1019"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of Icq = 7.95e-03 Amps\n",
      "i.e Approx 7.91 mAmps\n",
      "The value of Vceq = 10.14 Volts\n",
      "The Power Dissipation = 8.06e-02 Watts\n",
      "i.e 80.6 mWatts\n",
      "The value of Ic(sat) = 1.61e-02 Amps\n",
      "i.e 16.1 mAmps\n",
      "The value of Vce(off) = 20.00 Volts\n",
      "Q(10.138406,0.007953)\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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2x8yOjw9dDvzEzN4hHB9zeZ1ftZQ0M/if/wlXitxqK9hpp5BUVAYTSVY+eyiV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f383ca8da10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pyplot import plot,show,title,xlabel,ylabel\n",
    "# Calculate the following dc quantities Icq, Vceq, Pd, Ic(sat) and Vce(off). Also draw the dc load line\n",
    "\n",
    "# Given Data\n",
    "\n",
    "R1 = 18.*10**3#       # Resistor 1=18k Ohms\n",
    "R2 = 2.7*10**3#      # Resistor 2=2.7k Ohms\n",
    "Vcc = 20.#           # Supply Voltage(Collector)=20 Volts\n",
    "Vbe = 0.7#          # Voltage Base-Emitter=0.7 Volts\n",
    "Re = 240.#           # Emitter Resistor=240 Ohms\n",
    "Rc = 1.*10**3#        # Collector Resistor=1k Ohms\n",
    "\n",
    "Vb = Vcc*(R2/(R1+R2))#\n",
    "\n",
    "Ve = Vb-Vbe#\n",
    "\n",
    "#Ie = Ic#\n",
    "\n",
    "Icq = Ve/Re#\n",
    "print 'The value of Icq = %0.2e Amps'%Icq\n",
    "print 'i.e Approx 7.91 mAmps'\n",
    "\n",
    "Vceq = Vcc-Icq*(Rc+Re)#\n",
    "print 'The value of Vceq = %0.2f Volts'%Vceq\n",
    "\n",
    "Pd = Vceq*Icq#\n",
    "print 'The Power Dissipation = %0.2e Watts'%Pd\n",
    "print 'i.e 80.6 mWatts'\n",
    "\n",
    "Icsat = Vcc/(Rc+Re)#\n",
    "print 'The value of Ic(sat) = %0.2e Amps'%Icsat\n",
    "print 'i.e 16.1 mAmps'\n",
    "\n",
    "Vceoff = Vcc#\n",
    "print 'The value of Vce(off) = %0.2f Volts'%Vceoff\n",
    "\n",
    "# For DC load line\n",
    "\n",
    "Vce1=[Vceoff ,Vceq, 0]\n",
    "Ic1=[0, Icq, Icsat]\n",
    "\n",
    "#To plot DC load line\n",
    "\n",
    "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n",
    "plot(Vce1, Ic1)\n",
    "plot(Vceq,Icq)\n",
    "plot(0,Icq)\n",
    "plot(Vceq,0)\n",
    "plot(0,Icsat)\n",
    "plot(Vceoff,0)\n",
    "xlabel(\"Vce in volt\")\n",
    "ylabel(\"Ic in Ampere\")\n",
    "title(\"DC Load-line for Common-Emitter Class A Amplifier Circuit\")\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_2 Page No.  1024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Voltage Gain Av =189.84\n",
      "Approx 190\n",
      "The Output Voltage = 4.75 Volts\n",
      "The Load Power = 1.88e-03 Watts\n",
      "i.e Approx 1.88 mWatts\n",
      "The Dc Input Power = 1.78e-01 Watts\n",
      "i.e Approx 177.4 mWatts\n",
      "The Efficiency in % =1.06\n",
      "Approx 1%\n",
      "The Y-axis Value of AC Load-line is ic(sat) = 2.49e-02 Amps\n",
      "i.e 24.89 mAmps\n",
      "The X-axis value of AC Load-line is vce(off) = 14.94 Volts\n",
      "Q(10.190000,0.007910)\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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CQGuTssXQty+UlsKyZXl5iSIiEuV1OBV3/x1hCPHUx2am3d9nlj93f4osBZ2759zL9aab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\nwkRERBpMhYmIiDSYChMREWmw/w8e4nQEXC4Q+gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f383c6dc490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib.pyplot import plot,show,title,xlabel,ylabel\n",
    "\n",
    "# Claculate the following AC quantities Av, Vout, Pl, Pcc and percent efficiency. Also calculate the endpoints of ac loadline\n",
    "\n",
    "# Given data\n",
    "\n",
    "Icq = 7.91*10**-3#       # Collector Currect(Q-point)=7.91 mAmps\n",
    "Rl = 1.5*10**3#          # Load Resistor=1.5 kOhms\n",
    "Rc = 1.*10**3#            # Collector Resistor=1 kOhms\n",
    "Vin = 25.*10**-3#         # Input Voltage=25 mVolts(p-p)\n",
    "R1 = 18.*10**3#           # Resistor 1=18 kOhms\n",
    "R2 = 2.7*10**3#          # Resistor 2=2.7 kOhms\n",
    "Vcc = 20.#               # Supply Voltage(Collector)=20 Volts\n",
    "Vceq = 10.19#           # Voltage Colector-Emitter(Q-point)=10.19 Volts\n",
    "\n",
    "rc = (25.*10**-3)/Icq#\n",
    "rl = (Rc*Rl)/(Rc+Rl)\n",
    "\n",
    "Av = rl/rc#\n",
    "print 'The Voltage Gain Av =%0.2f'%Av\n",
    "print 'Approx 190'\n",
    "\n",
    "Vout = Av*Vin#\n",
    "print 'The Output Voltage = %0.2f Volts'%Vout\n",
    "\n",
    "Pl = (Vout*Vout)/(8*Rl)#\n",
    "print 'The Load Power = %0.2e Watts'%Pl\n",
    "print 'i.e Approx 1.88 mWatts'\n",
    "\n",
    "Ivd = Vcc/(R1+R2)#\n",
    "# Ic = Icq\n",
    "Icc = Ivd+Icq#\n",
    "\n",
    "Pcc = Vcc*Icc#\n",
    "print 'The Dc Input Power = %0.2e Watts'%Pcc\n",
    "print 'i.e Approx 177.4 mWatts'\n",
    "\n",
    "efficiency = ((Pl/Pcc)*100)#\n",
    "print 'The Efficiency in %% =%0.2f'%efficiency\n",
    "print 'Approx 1%'\n",
    "\n",
    "# Endpoints of AC load line\n",
    "\n",
    "icsat = Icq+(Vceq/rl)#\n",
    "print 'The Y-axis Value of AC Load-line is ic(sat) = %0.2e Amps'%icsat\n",
    "print 'i.e 24.89 mAmps'\n",
    "\n",
    "vceoff = Vceq+Icq*rl#\n",
    "print 'The X-axis value of AC Load-line is vce(off) = %0.2f Volts'%vceoff\n",
    "\n",
    "# For AC load line\n",
    "\n",
    "Vce1=[vceoff, Vceq, 0]\n",
    "Ic1=[0 ,Icq ,icsat]\n",
    "\n",
    "#To plot AC load line\n",
    "\n",
    "print \"Q(%f,%f)\\n\"%(Vceq,Icq)\n",
    "plot(Vce1, Ic1)\n",
    "plot(Vceq,Icq)\n",
    "plot(0,Icq)\n",
    "plot(Vceq,0)\n",
    "plot(0,icsat)\n",
    "plot(vceoff,0)\n",
    "xlabel(\"Vce in volt\")\n",
    "ylabel(\"Ic in Ampere\")\n",
    "title(\"AC Load-line for Common-Emitter Class A Amplifier Circuit\")\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_3 Page No. 1025"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Load Power = 6.25 Watts\n",
      "The DC Input Power = 9.54 Watts\n",
      "The Efficiency in % =65.51\n",
      "The Maximum Power Dissipation = 1.80 Watts\n"
     ]
    }
   ],
   "source": [
    "#Calculate the following quantities: Pl, Pcc, Pdmax & percent efficiency\n",
    "\n",
    "# Given data\n",
    "\n",
    "Vin = 20.#       # Input Voltage=20 Volts(p-p)\n",
    "Vopp = 20.#      # Output Voltage(p-p)=20 Volts(p-p)\n",
    "Vcc = 24.#       # Supply Voltage(Collector)=24 Volts\n",
    "Vop = 10.#       # Output Voltage(peak)=10 Volts\n",
    "Rl = 8.#         # Load Resistor=8 Ohms\n",
    "\n",
    "Vopp1 = Vopp*Vopp#\n",
    "Pl = (Vopp1/(8*Rl))#\n",
    "print 'The Load Power = %0.2f Watts'%Pl\n",
    "\n",
    "Icc = ((Vop/Rl)*0.318)#\n",
    "\n",
    "Pcc = Vcc*Icc\n",
    "print 'The DC Input Power = %0.2f Watts'%Pcc\n",
    "\n",
    "eff = ((Pl/Pcc)*100)#\n",
    "print 'The Efficiency in %% =%0.2f'%eff\n",
    "\n",
    "Pd = (Vcc*Vcc)/(40*Rl)#\n",
    "print 'The Maximum Power Dissipation = %0.2f Watts'%Pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_4 Page No. 1037"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Load Power = 39.00 Watts\n",
      "The DC Input Power = 57.24 Watts\n",
      "The Efficiency in % = 68.13\n"
     ]
    }
   ],
   "source": [
    "# Calculate the following quantities Pl, Pcc & percent efficiency\n",
    "\n",
    "# Given data\n",
    "\n",
    "Rl = 8#             # Load Resistor=8 Ohms\n",
    "Vopp = 50#          # Output Voltage(p-p)=50 Volts(p-p)\n",
    "Vcc = 30#           # Supply Voltage(Collector)=30 Volts\n",
    "Vopk = Vopp/2#      # Output Voltage(peak)\n",
    "\n",
    "Pl = (Vopp*Vopp)/(8*Rl)#\n",
    "print 'The Load Power = %0.2f Watts'%Pl\n",
    "\n",
    "Pcc = Vcc*0.636*(Vopk/Rl)#\n",
    "print 'The DC Input Power = %0.2f Watts'%Pcc\n",
    "\n",
    "efficiency = ((Pl/Pcc)*100)#\n",
    "print 'The Efficiency in %% = %0.2f'%efficiency"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_5 Page No. 1038"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Resonant Frequency = 2.00e+06 Hertz\n",
      "i.e 2 MHz\n",
      "The DC Bias Voltage at Base = 0.80 Volts\n"
     ]
    }
   ],
   "source": [
    "from math import sqrt\n",
    "# Calculate the fr of LC tank circuit and dc bias voltage at base\n",
    "\n",
    "# Given data\n",
    "\n",
    "L = 100*10**-6#      # Inductor=100 uHenry\n",
    "C = 63.325*10**-12#  # Capacitor=63.325 pFarad\n",
    "Vin = 1.5#          # Input Voltage(peak)=1.5 Volts\n",
    "Vbe = 0.7#          # Voltage Base-Emitter=0.7 Volts\n",
    "\n",
    "A = sqrt(L*C)#\n",
    "fr = 1./(2*3.14*A)#\n",
    "print 'The Resonant Frequency = %0.2e Hertz'%fr\n",
    "print 'i.e 2 MHz'\n",
    "\n",
    "Vdc = (Vin-Vbe)#\n",
    "print 'The DC Bias Voltage at Base = %0.2f Volts'%Vdc"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_6 Page No.  1039"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Minimum Base Reisitance Rb to Provide Clamping Action = 500 Ohms\n"
     ]
    }
   ],
   "source": [
    "# Calculate the minimum base reisitance Rb, necessary to provide clamping action\n",
    "\n",
    "# Given data\n",
    "\n",
    "C = 0.01*10**-6#     # Capacitor=0.01 uFarad\n",
    "fr = 2.*10**6#        # Resonant Frequency=2 MHertz\n",
    "\n",
    "fin = fr\n",
    "T = 1/fin\n",
    "\n",
    "Rb = 10*T/C\n",
    "print 'The Minimum Base Reisitance Rb to Provide Clamping Action = %0.f Ohms'%Rb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example No. 31_7 Page No.  1040"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Bandwidth = 45120 Hertz\n",
      "i.e Approx 45 kHz\n"
     ]
    }
   ],
   "source": [
    "# Calculate the Bandwidth\n",
    "\n",
    "# Given data\n",
    "\n",
    "L = 100*10**-6#      # Inductor=100 uHenry\n",
    "fr = 2*10**6#        # Resonant Frequency=2 MHertz\n",
    "ri = 12.56#         # Resistance of Coil=12.56 Ohms\n",
    "Rp = 100*10**3#      # Rp=100 kOhms\n",
    "\n",
    "Xl = 2*3.14*fr*L#\n",
    "Qcoil = Xl/ri#\n",
    "Ztank = Qcoil*Xl#\n",
    "\n",
    "A = Ztank#\n",
    "B = Rp#\n",
    "C = (A*B)/(A+B)#\n",
    "Qckt = C/Xl#\n",
    "\n",
    "BW = fr/Qckt#\n",
    "print 'The Bandwidth = %0.f Hertz'%BW\n",
    "print 'i.e Approx 45 kHz'"
   ]
  }
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