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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Chapter 8 Analog Multiplier"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example 8.1 Pg 267"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "the output voltage of inverting amplifier (V2) is = 3.00 V\n"
+     ]
+    }
+   ],
+   "source": [
+    "from math import sqrt, pi\n",
+    "from __future__ import division\n",
+    "# to determine the output voltage of inverting amplifier (V2)\n",
+    "Vin = 18 # # V\n",
+    "V1 = -6 #  # V\n",
+    "\n",
+    "# in the op-amp due to the infinite i/p resiostance the input current is = 0\n",
+    "# i1+i2 = 0\n",
+    "# it gives relation\n",
+    "Vo = -Vin #\n",
+    "\n",
+    "# the output of multiplier is defined as\n",
+    "#Vo = K*V1*V2\n",
+    "\n",
+    "K = 1 # # we assume\n",
+    "\n",
+    "V2 = (Vo/(K*V1))#\n",
+    "print 'the output voltage of inverting amplifier (V2) is = %0.2f'%(V2),'V'"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example 8.2 Pg 267"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "the output voltage of multiplier is = 225.00 V\n"
+     ]
+    }
+   ],
+   "source": [
+    "# to determine the output voltage of multiplier\n",
+    "Vin = 15 # # V\n",
+    "\n",
+    "# the output of multiplier is defined as\n",
+    "#Vo = K*V1*V2\n",
+    "# because of i/p terminal the circuit performs mathematical operation squaring\n",
+    "# i.e  V1 = V2 = Vin\n",
+    "K = 1 # # we assume\n",
+    "Vo = K*(Vin)**2#\n",
+    "print 'the output voltage of multiplier is = %0.2f'%(Vo),'V' "
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example 8.3 Pg 268"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "the output voltage of inverting amplifier is = 4.00  V \n",
+      "the output voltage of multiplier is = 16.00  V \n"
+     ]
+    }
+   ],
+   "source": [
+    "from math import sqrt, pi\n",
+    "# to determine the output voltage of multiplier and inverting amplifier\n",
+    "Vin = 16 #\n",
+    "# the output of the inverting amplifier\n",
+    "K =1 #   # we assume\n",
+    "Vos = sqrt(abs(Vin)/K) #\n",
+    "print 'the output voltage of inverting amplifier is = %0.2f'%(Vos),' V '\n",
+    "\n",
+    "# the output of the multiplier\n",
+    "Vo = K*Vos**2 #\n",
+    "print 'the output voltage of multiplier is = %0.2f'%(Vo),' V '"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Example 8.5 Pg 269"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "output voltage of RMS detector is = 10.00 V \n"
+     ]
+    }
+   ],
+   "source": [
+    "# output voltage of of RMS detector\n",
+    "Vin = 10 # \n",
+    "T = 1 #  # we assume that the charging and discharging period of capacitor\n",
+    "\n",
+    "# the output voltage of RMS detector\n",
+    "# Vo =sqrt(1/T*)integrate(Vin**2*(t),t,0,1 [,atol [,rtol]])  #\n",
+    "Vo = 10 #\n",
+    "print 'output voltage of RMS detector is = %0.2f'%(Vo),'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": "2.7.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}