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+{

+ "cells": [

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "# Chapter 1 - Electronic Voltmeters"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 1 - pg 1_17"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 1,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "required multiplier resistance (kohm) =  4.3\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_1,pg 1_17\n",

+    "#calculate the required multiplier resistance\n",

+    "import math\n",

+    "#given\n",

+    "Erms=10.\n",

+    "Rm=200\n",

+    "#calculations\n",

+    "Ep=math.sqrt(2)*Erms\n",

+    "Eav=0.6*Ep\n",

+    "E=Eav/2.\n",

+    "Edc=0.45*Erms\n",

+    "Idc=1*10**-3\n",

+    "Rs=(Edc/Idc)-Rm\n",

+    "#results\n",

+    "print\"required multiplier resistance (kohm) = \",Rs/1000."

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 2 - pg 1_18"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 2,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "required multiplier resistance(kohm) =  4.0\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_2,pg 1_18\n",

+    "#calculate the required multiplier resistance\n",

+    "#given\n",

+    "Eav=9.\n",

+    "Erms=10.\n",

+    "Rm=500.\n",

+    "Idc=2*10**-3\n",

+    "#calculations\n",

+    "Edc=0.9*Erms\n",

+    "Rs=(Edc/Idc)-Rm\n",

+    "#results\n",

+    "print \"required multiplier resistance(kohm) = \",Rs/1000.\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 3 - pg 1_20"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 3,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "percentage error =  -11.0\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_3,pg 1_20\n",

+    "#calculate the percentage error\n",

+    "#given\n",

+    "Kf=1#Erms=Em for 1 time period\n",

+    "Kf1=1.11#Kf(sine)/Kf(square)\n",

+    "#calculations\n",

+    "pere=(Kf-Kf1)/Kf*100.#percentage error\n",

+    "#results\n",

+    "print\"percentage error = \",pere\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 4 - pg 1_20"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 4,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "percentage error (percent) =  3.87\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_4,pg 1_20\n",

+    "#calculate the percentage error\n",

+    "import math\n",

+    "import scipy\n",

+    "from scipy import integrate\n",

+    "#given\n",

+    "A=50.\n",

+    "T=2.\n",

+    "Kf2=1.11\n",

+    "#calculations\n",

+    "def f(t):\n",

+    "\tE=(50*t)**2#e=At(ramp function)\n",

+    "\treturn E\n",

+    "\n",

+    "\n",

+    "I=scipy.integrate.quad(f,0,T)\n",

+    "\n",

+    "Erms=math.sqrt((1./T)*I[0])\n",

+    "def f1(t):\n",

+    "\te=50*t#e=At(ramp function)\n",

+    "\treturn e\n",

+    "\n",

+    "\n",

+    "I1=scipy.integrate.quad(f1,0,T)\n",

+    "Eav=(1./T)*I1[0]\n",

+    "Kf=Erms/Eav\n",

+    "kfr=Kf2/Kf #Kf(sine)/Kf(sawtooth)\n",

+    "pere=(1-kfr)/1*100#percentage error\n",

+    "#results\n",

+    "print\"percentage error (percent) = \",round(pere,2)"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 5 - pg 1_27"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 5,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "total meter resistance (ohm) =  6100.0\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_5,pg 1_27\n",

+    "#calculate the total meter resistance\n",

+    "#given\n",

+    "Idc=25*10**-3\n",

+    "Erms=200.\n",

+    "Rm=100.\n",

+    "Rf=500.\n",

+    "#calculations\n",

+    "Rd=2*Rf\n",

+    "Rm1=Rm+Rd#total meter resistance\n",

+    "Rs=(0.9*Erms)/Idc-Rm1\n",

+    "#results\n",

+    "print \"total meter resistance (ohm) = \",Rs\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 6 - pg 1_38"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 6,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "meter current (mA) =  5.99\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_6,pg 1_38\n",

+    "#calculate the meter current\n",

+    "#given\n",

+    "V1=2.\n",

+    "Rm=50.\n",

+    "Rd=15.*10**3\n",

+    "gm=0.006\n",

+    "rd=100*10**3\n",

+    "#calculations\n",

+    "Im=(gm*rd*Rd/(rd+Rd)*V1)/((2*(rd*Rd/(rd+Rd))+Rm))\n",

+    "#results\n",

+    "print \"meter current (mA) = \",round(Im*1000.,2)\n",

+    "\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 7 - pg 1_38"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 7,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "meter current (mA) =  3.0\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_7,pg 1_38\n",

+    "#calculate the meter current\n",

+    "#given\n",

+    "V1=1\n",

+    "Rm=50\n",

+    "Rd=15*10**3\n",

+    "gm=0.006\n",

+    "rd=100*10**3\n",

+    "#calculations\n",

+    "Im=(gm*rd*Rd/(rd+Rd)*V1)/((2*(rd*Rd/(rd+Rd))+Rm))\n",

+    "#results\n",

+    "print \"meter current (mA) = \",round(Im*1000.,1)\n",

+    "\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 8 - pg 1_39"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 8,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "resistance values are\n",

+      "R1 (Mohm) =  8.7\n",

+      "R2 (kohm) =  120.0\n",

+      "R3 (kohm) =  90.0\n",

+      "R4 (kohm) =  90.0\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_8,pg 1_39\n",

+    "#calculate the resistance values\n",

+    "#given\n",

+    "V1=1.\n",

+    "Vin=30.\n",

+    "Rin=9.*10**6\n",

+    "#calcuations\n",

+    "R4=Rin/100.#for Vin=100V\n",

+    "R3=(Rin-50*R4)/50#for Vin=50V\n",

+    "R2=(Rin-30*R3-30*R4)/30#for Vin=30V\n",

+    "R1=Rin-R2-R3-R4\n",

+    "#results\n",

+    "print \"resistance values are\"\n",

+    "print \"R1 (Mohm) = \",round(R1/10**6,1)\n",

+    "print \"R2 (kohm) = \",round(R2/10**3,1)\n",

+    "print \"R3 (kohm) = \",round(R3/10**3,1)\n",

+    "print \"R4 (kohm) = \",round(R4/10**3,1)\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 9 - pg 1_40"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 9,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "current Im (mA) =  0.3896\n",

+      "series resistance (kohm) =  7.042\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_9,pg 1_40\n",

+    "#calculate the current, series resistance\n",

+    "#given\n",

+    "rd=10*10**3\n",

+    "gm=0.003\n",

+    "Rs=15*10**3\n",

+    "V1=1#input voltage\n",

+    "Rm=1800.\n",

+    "Img=0.1*10**-3#meter current given\n",

+    "#calculations\n",

+    "rdf=rd/(1+gm*rd)#actual rd\n",

+    "Vo=(gm*rdf*Rs)*V1/(rdf+Rs)\n",

+    "Rth=(2*Rs*rdf/(Rs+rdf))\n",

+    "Im=Vo/(Rth+Rm)\n",

+    "Rf=(Vo/Img)-Rth-Rm#series resistance\n",

+    "#results\n",

+    "print \"current Im (mA) = \",round(Im*1000.,4)\n",

+    "print \"series resistance (kohm) = \",round(Rf/10**3,3)\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 10 - pg 1_41"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 10,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "calibration resistance (kohm) =  18.4\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_10,pg 1_41\n",

+    "#calculate the calibration resistance\n",

+    "#given\n",

+    "rd=200.*10**3\n",

+    "gm=0.004\n",

+    "Rs=40.*10**3\n",

+    "Rm=1000.\n",

+    "V1=1\n",

+    "#calculations\n",

+    "rdf=rd/(1+gm*rd)#actual rd\n",

+    "Rth=(2*Rs*rdf/(Rs+rdf))\n",

+    "Vo=(gm*rdf*Rs)*V1/(rdf+Rs)\n",

+    "Im=50*10**-6\n",

+    "Rcal=(Vo/Im)-Rth-Rm#calibration resistance\n",

+    "#results\n",

+    "print \"calibration resistance (kohm) = \",round(Rcal/1000.,1)\n"

+   ]

+  },

+  {

+   "cell_type": "markdown",

+   "metadata": {},

+   "source": [

+    "## Example 11 - pg 1_42"

+   ]

+  },

+  {

+   "cell_type": "code",

+   "execution_count": 11,

+   "metadata": {

+    "collapsed": false

+   },

+   "outputs": [

+    {

+     "name": "stdout",

+     "output_type": "stream",

+     "text": [

+      "Resistances are \n",

+      "R1(kohm) =  666.67\n",

+      "R2(kohm) =  300.0\n",

+      "R3(kohm) =  23.33\n",

+      "R4(kohm) =  10.0\n"

+     ]

+    }

+   ],

+   "source": [

+    "#Chapter-1,Example1_11,pg 1_42\n",

+    "#calculate the resistances\n",

+    "#given\n",

+    "Vin=3.\n",

+    "V1=1.\n",

+    "Rin=1.*10**6#input resistance of FET\n",

+    "#calculations\n",

+    "R4=Rin/100.#for Vin=100V\n",

+    "R3=(Rin-30*R4)/30.#for Vin=30V\n",

+    "R2=(Rin-3*R3-3*R4)/3.#for Vin=3V\n",

+    "R1=Rin-R2-R3-R4\n",

+    "#results\n",

+    "print \"Resistances are \"\n",

+    "print \"R1(kohm) = \",round(R1/1000.,2)\n",

+    "print \"R2(kohm) = \",round(R2/1000.,0)\n",

+    "print \"R3(kohm) = \",round(R3/1000.,2)\n",

+    "print \"R4(kohm) = \",round(R4/1000.,0)\n"

+   ]

+  }

+ ],

+ "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": "2.7.9"

+  }

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