{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 4 - Frequency Meters and Phase Meters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 1 - pg 4_22"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n",
      "E1 mag    E1 rms    Ein Rms    Eab output\n",
      "[[  0.      0.      5.      4.501]\n",
      " [  3.      2.121   5.431   4.889]\n",
      " [  5.      3.53    6.123   5.513]\n",
      " [  7.      4.949   7.035   6.334]\n",
      " [  9.      6.363   8.093   7.286]\n",
      " [ 12.      8.485   9.848   8.867]\n",
      " [ 15.     10.606  11.726  10.557]\n",
      " [ 18.     12.727  13.674  12.311]\n",
      " [ 21.     14.849  15.668  14.106]]\n",
      "There is a slight error in textbook\n"
     ]
    },
    {
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      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x70fba10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Chapter-4,Example4_1,pg 4-22\n",
    "#calculate the value of E1 vs EAB\n",
    "import math\n",
    "import numpy\n",
    "from matplotlib import pyplot\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "%pylab inline\n",
    "#given\n",
    "E1mag=numpy.array([0, 3, 5, 7, 9, 12, 15, 18, 21])\n",
    "Erms=5#given\n",
    "#results\n",
    "E1rms=E1mag/math.sqrt(2)\n",
    "Einrms=(((E1rms)**2)+((Erms)**2))**(1./2.)\n",
    "Eab=(2*math.sqrt(2)*Einrms)/math.pi\n",
    "#results\n",
    "pyplot.xlabel('E1(Volts)')\n",
    "pyplot.ylabel('Eab(Volts)')\n",
    "pyplot.title('Phase Meter')\n",
    "print\"E1 mag    E1 rms    Ein Rms    Eab output\"\n",
    "k=numpy.matrix([[0,    0,    5,    4.501],\n",
    "   [3,    2.121,    5.431,    4.889],\n",
    "   [5,    3.53,   6.123,    5.513],\n",
    "   [7,    4.949,    7.035,    6.334],\n",
    "   [9,    6.363,    8.093,    7.286],\n",
    "   [12,    8.485,    9.848,    8.867],\n",
    "   [15,    10.606,    11.726,    10.557],\n",
    "   [18,    12.727,    13.674,    12.311],\n",
    "   [21,    14.849,    15.668,    14.106  ]])\n",
    "print (k)\n",
    "pyplot.plot(E1mag,Eab)\n",
    "print 'There is a slight error in textbook'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example 2 - pg 4_24"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "output voltage (V) =  6.752\n"
     ]
    }
   ],
   "source": [
    "#Chapter-4,Example4_2,pg 4-24\n",
    "#calculate the output voltage\n",
    "import math\n",
    "from math import sqrt\n",
    "E1rms=10.\n",
    "E2rms=15.\n",
    "#calculations\n",
    "E1m=E1rms*sqrt(2)\n",
    "E2m=E2rms*sqrt(2)\n",
    "#voltage across AB is proportional to E1+E2 in positive half cycle\n",
    "Ep=(1/(2*math.pi))*(2*E1m+E2m)#output in positive half cycle\n",
    "#voltage across AB is proportional to E1-E2 in negative half cycle\n",
    "En=(1/(2*math.pi))*(2*E1m-E2m)#output in negative half cycle\n",
    "Eab=Ep-En\n",
    "#results\n",
    "print\"output voltage (V) = \",round(Eab,3)\n"
   ]
  }
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