{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#Chapter 10 , Field Effect Transistors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.1 , Page Number 344" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gate-to-source resistance : 100.0 Mega-ohm.\n" ] } ], "source": [ "#Variables\n", "\n", "VGS = 10.0 #Gate-source voltage (in volts)\n", "IG = 0.1 * 10**-6 #Gate current (in Ampere)\n", "\n", "#Calculation\n", "\n", "RGS = VGS/IG #Gate-to-source resistance (in ohm)\n", "\n", "#Result\n", "\n", "print \"Gate-to-source resistance : \",RGS*10**-6,\"Mega-ohm.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.2 , Page Number 344" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AC drain resistance of the JFET : 12.5 kilo-ohm.\n" ] } ], "source": [ "#Variables\n", "\n", "dVDS = 1.5 #Change in drain-source voltage (in volts)\n", "dID = 120.0 * 10**-6 #Change in drain current (in Ampere)\n", "\n", "#Calculation\n", "\n", "rd = dVDS/dID #AC drain resistance (in ohm) \n", "\n", "#Result\n", "\n", "print \"AC drain resistance of the JFET : \",rd*10**-3,\"kilo-ohm.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.3 , Page Number 344" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Transconductance : 2000.0 micro-siemens.\n" ] } ], "source": [ "#Variables\n", "\n", "dID = 0.3 * 10**-3 #Change in drain current (in Ampere)\n", "dVGS = 0.15 #Changein gate-to-source voltage (in volts)\n", "\n", "#Calculation\n", "\n", "gm = dID/dVGS #Transconductance (in siemen) \n", "\n", "#Result\n", "\n", "print \"Transconductance : \",gm*10**6,\"micro-siemens.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.4 , Page Number 345" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AC drain resistance : 35.0 kilo-ohm.\n", "Transconductance : 2.8 mA/V.\n", "Amplification factor : 98.0 .\n" ] } ], "source": [ "#Variables\n", "\n", "dVDS = 7.0 #Change in drain-source voltage (in volts)\n", "dID1 = 0.2 * 10**-3 #Change in drain current1 (in Ampere)\n", "dID2 = -0.7 * 10**-3 #Change in drain current2 (in Ampere)\n", "dVGS = -0.25 #Changein gate-to-source voltage (in volts)\n", "\n", "#Calculation\n", "\n", "rd = dVDS/dID1 #AC drain resistance (in ohm)\n", "gm = dID2/dVGS #Transconductance (in Ampere per volt)\n", "u = rd*gm #Amplification factor\n", "\n", "#Result\n", "\n", "print \"AC drain resistance : \",rd*10**-3,\"kilo-ohm.\"\n", "print \"Transconductance : \",gm*10**3,\"mA/V.\"\n", "print \"Amplification factor : \",u,\".\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.5 , Page Number 345" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Transconductance : 2.22 mA/V.\n" ] } ], "source": [ "#Variables\n", "\n", "IDSS = 10.0 * 10**-3 #Drain-source saturation current (in Ampere)\n", "Vp = -4.5 #Pinch-off voltage (in volts)\n", "IDS = 2.5 * 10**-3 #Drain-source voltage (in volts) \n", "\n", "#Calculation\n", "\n", "VGS = Vp*(1-(IDS/IDSS)**0.5) #Gate-to-source voltage (in volts)\n", "gm = -2*IDSS/Vp*(1- VGS/Vp) #Transconductance (in Ampere per volt) \n", "\n", "#Result\n", "\n", "print \"Transconductance : \",round(gm*10**3,2),\"mA/V.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.6 , Page Number 345" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VGSoff : -2.0 mV.\n" ] } ], "source": [ "#Variables\n", "\n", "gm = 10.0 * 10**-3 #Transconductance (in siemens)\n", "IDSS = 10.0 * 10**-6 #Drain-source saturation current (in Ampere)\n", "\n", "#Calculation\n", "\n", "VGSoff = (-2*IDSS)/gm #Gate-to-source voltage (in volts)\n", "\n", "#Result\n", "\n", "print \"VGSoff : \",VGSoff*10**3,\"mV.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.7 , Page Number 345" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Minimum value of VDS : -4.0 V.\n" ] } ], "source": [ "#Variables\n", "\n", "Vp = -4.0 #Pinch-off voltage (in volts)\n", "VGS = -2.0 #Gate-source voltage (in volts)\n", "IDSS = 10.0 * 10**-3 #Drain-source saturation current (in Ampere)\n", "\n", "#Calculation\n", "\n", "ID = IDSS*(1 - VGS/Vp)**2 #Drain current (in Ampere)\n", "VDSmin = Vp #Minimum drain-source voltage (in volts) \n", "\n", "#Result\n", "\n", "print \"Minimum value of VDS : \",VDSmin,\"V.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.8 , Page Number 346" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ID : 3.8667 mA.\n", "gmo : 5.8 mS.\n", "gm : 3.867 mS.\n" ] } ], "source": [ "#Variables\n", "\n", "IDSS = 8.7 * 10**-3 #Drain-source saturation current (in Ampere)\n", "Vp = -3.0 #Pinch-off voltage (in volts)\n", "VGS = -1.0 #Gate-source voltage (in volts)\n", "\n", "#Calculation\n", "\n", "ID = IDSS*(1 - VGS/Vp)**2 #Drain current (in Ampere)\n", "gmo = -2*IDSS/Vp #Transconductance for VGS = 0 (in Ampere per volt) \n", "gm = gmo*(1 - VGS/Vp) #Transconductance (in Ampere per volt)\n", "\n", "#Result\n", "\n", "print \"ID : \",round(ID*10**3,4),\"mA.\"\n", "print \"gmo : \",round(gmo*10**3,1),\"mS.\"\n", "print \"gm : \",round(gm*10**3,3),\"mS.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.9 , Page Number 346" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ID : 2.1 mA.\n", "gmo : 5.6 mS.\n", "gm : 2.8 mS.\n" ] } ], "source": [ "#Variables\n", "\n", "IDSS = 8.4 * 10**-3 #Drain-source saturation current (in Ampere)\n", "Vp = -3.0 #Pinch-off voltage (in volts)\n", "VGS = -1.5 #Gate-source voltage (in volts)\n", "\n", "#Calculation\n", "\n", "ID = IDSS*(1 - VGS/Vp)**2 #Drain current (in Ampere)\n", "gmo = -2*IDSS/Vp #Transconductance for VGS = 0 (in Ampere per volt) \n", "gm = gmo*(1 - VGS/Vp) #Transconductance (in Ampere per volt)\n", "\n", "#Result\n", "\n", "print \"ID : \",round(ID*10**3,4),\"mA.\"\n", "print \"gmo : \",round(gmo*10**3,1),\"mS.\"\n", "print \"gm : \",round(gm*10**3,3),\"mS.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.10 , Page Number 346" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VGS : -1.902 V.\n", "gm : 2.31 mS.\n" ] } ], "source": [ "#Variables\n", "\n", "Vp = -4.5 #Pinch-off voltage (in volts)\n", "IDSS = 9.0 * 10**-3 #Drain-source saturation current (in Ampere)\n", "IDS = 3.0 * 10**-3 #Drain-source current (in Ampere) \n", "\n", "#Calculation\n", "\n", "VGS = Vp*(1-(IDS/IDSS)**0.5) #Gate-to-source voltage (in volts)\n", "gm = -2*IDSS/Vp*(1 - VGS/Vp) #Transconductance (in Ampere per volt) \n", "\n", "#Result\n", "\n", "print \"VGS : \",round(VGS,3),\"V.\"\n", "print \"gm : \",round(gm*10**3,2),\"mS.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.11 , Page Number 349" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Drain-source voltage : 6.2 V.\n" ] } ], "source": [ "#Variables\n", "\n", "VGG = 1.5 #Gate supply voltage (in volts)\n", "VDD = 15.0 #Drain supply voltage (in volts)\n", "RD = 1.5 * 10**3 #Drain resistance (in ohm)\n", "RG = 2.0 * 10**6 #Gate resistance (in ohm)\n", "IDSS = 15.0 * 10**-3 #Drain current in saturation (in Ampere)\n", "Vp = -4.0 #Pinch-off voltage (in volts)\n", "VS = 0.0 #Source voltage (in volts)\n", "\n", "#Calculation\n", "\n", "VGS = -VGG #Gate-to-source voltage (in volts)\n", "ID = IDSS*(1 - VGS/Vp)**2 #Drain current (in Ampere)\n", "VD = VDD - ID*RD #Drain voltage (in volts)\n", "VDS = VD - VS #Drain-to-source voltage (in volts)\n", "\n", "#Result\n", "\n", "print \"Drain-source voltage : \",round(VDS,1),\"V.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.12 , Page Number 349" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ID = 3.0 mA.\n", "VDS = -7.5 V.\n", "VD = -7.5 V.\n", "VG = -3.0 V.\n", "VS = 0 V.\n" ] } ], "source": [ "#Variables\n", "\n", "VGS = VGG = -3.0 #Gate-source voltage (in volts)\n", "IDSS = 12.0 * 10**-3 #Drain current in saturation (in Ampere)\n", "Vp = -6.0 #pinch-off voltage (in volts) \n", "VDD = 3.0 #Drain voltage (in volts) \n", "RD = 3.5 * 10**3 #Drain resistance (in ohm) \n", "\n", "#Calculation\n", "\n", "ID = IDSS*(1 - VGS/Vp)**2 #Drain current (in Ampere)\n", "VDS = VDD - ID*RD #Drain-source voltage (in volts)\n", "VD = VDS #Drain voltage (in volts)\n", "VG = VGG #Gate voltage (in volts)\n", "VS = 0 #Source voltage (in volts) \n", "\n", "#Result\n", "\n", "print \"ID = \",ID*10**3,\"mA.\"\n", "print \"VDS = \",VDS,\"V.\" \n", "print \"VD = \",VD,\"V.\" \n", "print \"VG = \",VG,\"V.\" \n", "print \"VS = \",VS,\"V.\" \n", "\n", "#Calculation error in the value of VDS and VD in the book." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.13 , Page Number 350" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Drain-source voltage : 18.2 V.\n", "Gate-source voltage : -0.8 V.\n" ] } ], "source": [ "#Variables\n", "\n", "VDD = 25.0 #Drain Supply (in volts)\n", "RD = 3.0 * 10**3 #Drain resistance (in ohm)\n", "RS = 400.0 #Source resistance (in ohm)\n", "ID = 2.0 * 10**-3 #Drain current (in Ampere) \n", "\n", "#Calculation\n", "\n", "VDS = VDD - ID*(RD + RS) #Drain-source voltage (in volts)\n", "VGS = -ID*RS #Gate-source voltage (in volts)\n", "\n", "#Result\n", "\n", "print \"Drain-source voltage : \",VDS,\"V.\"\n", "print \"Gate-source voltage : \",VGS,\"V.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.14 , Page Number 350" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RS : 2.5 kilo-ohm.\n" ] } ], "source": [ "#Variables\n", "\n", "VDD = 25.0 #Drain voltage (in volts)\n", "RG1 = 1.2 * 10**6 #Gate1 resistance (in ohm)\n", "RG2 = 0.6 * 10**6 #Gate2 resistance (in ohm)\n", "ID = 4.0 * 10**-3 #Drain current (in Ampere)\n", "VDS = 8.0 #Drain-source voltage (in volts) \n", "Vp = -4.0 #Pinch-off voltage (in volts) \n", "\n", "#Calculation\n", "\n", "VGS = Vp*(1 - (ID/IDSS)**0.5) #Gate-source voltage (in volts)\n", "VG = VDD*RG2/(RG1 + RG2) #Gate voltage (in volts)\n", "RS = (VG - VGS)/ID #Source voltage (in ohm) \n", "\n", "#Result\n", "\n", "print \"RS : \",round(RS*10**-3,1),\"kilo-ohm.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.15 , Page Number 350" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Drain current at operating point : 4.46 mA.\n", "Since , value of ID at operating point is almost equal to previously computed value of Id. Therefore , FET is operated in pinch-off region.\n" ] } ], "source": [ "#Variables\n", "\n", "Vp = -2.0 #pinch-off voltage (in volts)\n", "IDSS = 5.0 * 10**-3 #Drain current in saturation (in Ampere)\n", "RL = 910.0 #Load resistance (in ohm)\n", "RF = 2.29 * 10**3 #Resistance (in ohm)\n", "R1 = 12.0 * 10**6 #Resistance1 (in ohm)\n", "R2 = 8.57 * 10**6 #Resistance2 (in ohm)\n", "VDD = 24.0 #Drain supply voltage (in volts)\n", "\n", "#Calculation\n", "\n", "VG = VDD*R2/(R1 + R2) #Gate voltage (in volts)\n", "ID = 4.46 * 10**-3 #Drain current (in Ampere) \n", "VGS = VG - ID*RF #Gate-source voltage (in volts)\n", "ID1 = (VG - VGS)/RF #Drain current at operating point (in Ampere)\n", "\n", "#Result\n", "\n", "print \"Drain current at operating point : \",round(ID1*10**3,3),\"mA.\"\n", "print \"Since , value of ID at operating point is almost equal to previously computed value of Id. Therefore , FET is operated in pinch-off region.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.16 , Page Number 353" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Voltage gain : -30.0 .\n" ] } ], "source": [ "#Variables\n", "\n", "gm = 2500.0 * 10**-6 #Transconductance (in siemens)\n", "RL = 12.0 * 10**3 #Load resistance (in ohm)\n", "\n", "#Calculation\n", "\n", "A = -gm*RL #Voltage gain \n", "\n", "#Result\n", "\n", "print \"Voltage gain : \",A,\".\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.17 , Page Number 353" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VOltage gain : -59.9 .\n" ] } ], "source": [ "#Variables\n", "\n", "gm = 4000.0 * 10**-6 #Transconductance (in siemens)\n", "RL = 15.0 * 10**3 #Load resistance (in ohm)\n", "RD = 10.0 * 10**6 #Drain resistance (in ohm)\n", "\n", "#Calculation\n", "\n", "A = -gm*RD*RL/(RD + RL) #Voltage gain\n", "\n", "#Result\n", "\n", "print \"VOltage gain : \",round(A,1),\".\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.18 , Page Number 353" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RD : 5.0 kilo-ohm.\n", "RS : 1.0 kilo-ohm.\n", "Av : -20.0 .\n", "Rin : 500.0 kilo-ohm.\n", "Rout : 4.0 kilo-ohm.\n" ] } ], "source": [ "#Variables\n", "\n", "VGS = -1.0 #Gate-source voltage (in volts)\n", "VDS = 4.0 #Drain-source voltage (in volts)\n", "IDS = 1.0 * 10**-3 #Drain-source current (in Ampere)\n", "gm = 5.0 * 10**-3 #Transconductance (in siemens)\n", "RDS = 20.0 * 10**3 #Drain-source resistance (in ohm)\n", "RG = 500.0 * 10**3 #Gate resistance (in ohm) \n", "VDD = 10.0 #Drain supply voltage (in volts)\n", "\n", "#Calculation\n", "\n", "RS = abs(VGS/IDS) #Source resistance (in ohm)\n", "RD = (VDD - VDS)/IDS - RS #Drain resistance (in ohm) \n", "Av = -gm*(RD*RDS/(RD + RDS)) #Voltage gain\n", "Rin = RG #Input impedance (in ohm)\n", "Rout = RD*RDS/(RD + RDS) #Output impedance (in ohm)\n", "\n", "#Result\n", "\n", "print \"RD : \",RD*10**-3,\"kilo-ohm.\"\n", "print \"RS : \",RS*10**-3,\"kilo-ohm.\"\n", "print \"Av : \",Av,\".\"\n", "print \"Rin : \",Rin*10**-3,\"kilo-ohm.\"\n", "print \"Rout : \",Rout*10**-3,\"kilo-ohm.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.19 , Page Number 355" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input impedance : 1.33 Mega-ohm.\n", "Output impedance : 345.0 ohm.\n", "Voltage gain : 0.85 .\n" ] } ], "source": [ "#Variables\n", "\n", "RL = 25.0 * 10**3 #Load resistance (in ohm)\n", "RS = 2.5 * 10**3 #Source Resistance (in ohm)\n", "R1 = 4.0 * 10**6 #Resistance1 (in ohm)\n", "R2 = 2.0 * 10**6 #Resistance2 (in ohm)\n", "gm = 2500.0 * 10**-6 #Transconductance (in siemens)\n", "\n", "#Calculation\n", "\n", "Zin = R1*R2/(R1 + R2) #Input impedance (in ohm)\n", "Zout = RS*1/gm/(RS + 1/gm) #Output impedance (in ohm)\n", "Av = gm*RS*RL/(RS + RL)/(1 + gm*(RS*RL)/(RS + RL)) #Voltage gain\n", "\n", "#Result\n", "\n", "print \"Input impedance : \",round(Zin*10**-6,2),\"Mega-ohm.\"\n", "print \"Output impedance : \",round(Zout),\"ohm.\"\n", "print \"Voltage gain : \",round(Av,2),\".\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.20 , Page Number 369" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Drain current : 1.25 mA.\n" ] } ], "source": [ "#Variables\n", "\n", "IDon = 5.0 * 10**-3 #Drain current in on state (in Ampere)\n", "VGS = 8.0 #Gate-source voltage (in volts)\n", "VGST = 4.0 #Gate-source T voltage (in volts)\n", "VGS1 = 6.0 #Gate-source voltage1 (in volts)\n", "\n", "#Calculation\n", "\n", "K = IDon/(VGS - VGST)**2 #K (in Ampere per volt-square) \n", "ID = K*(VGS1 - VGST)**2 #Drain current (in Ampere) \n", "\n", "#Result\n", "\n", "print \"Drain current : \",round(ID*10**3,2),\"mA.\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Example 10.21 , Page Number 369" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VGS : 6.0 V.\n", "ID : 0.001 A.\n", "VDS : 9.0 V.\n", "Av : 12.0 .\n", "Vout : 0.96 V.\n" ] } ], "source": [ "#Variables\n", "\n", "IDon = 4.0 * 10**-3 #Drain current in on state (in Ampere)\n", "VGS = 8.0 #Gate-source voltage (in volts)\n", "VGST = 4.0 #Gate-source T voltage (in volts)\n", "gm = 2000.0 * 10**-6 #Transconductance (in siemens)\n", "VDD = 15.0 #Drain supply voltage (in volts)\n", "RD = 6.0 * 10**3 #Drain resistance (in ohm)\n", "RD2 = 40.0 * 10**3 #Resistance (in ohm)\n", "RD1 = 60.0 * 10**3 #Resistance (in ohm) \n", "\n", "#Calculation\n", "\n", "VGS = VDD/(RD1 + RD2)*RD2 #Gate-source voltage (in volts)\n", "K = IDon/4**2 #K (in Ampere per volt-square)\n", "ID = K*(VGS - VGST)**2 #Drain current (in Ampere)\n", "VDS = VDD - ID*RD #Drain-source voltage (in volts)\n", "Av = gm*RD #Voltage gain\n", "Vout = Av*0.08 #Output voltage (in volts)\n", "\n", "#Result\n", "\n", "print \"VGS : \",VGS,\"V.\"\n", "print \"ID : \",ID,\"A.\"\n", "print \"VDS : \",abs(VDS),\"V.\"\n", "print \"Av : \",Av,\".\"\n", "print \"Vout : \",Vout,\"V.\"" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }