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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 12: Resistance and DC Circuits"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.1, Page 237"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Magnitude, I4 = -3 A\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Initialization\n",
+ "i1=8 #current in Amp\n",
+ "i2=1 #current in Amp\n",
+ "i3=4 #current in Amp\n",
+ "\n",
+ "#Calculation\n",
+ "i4=i2+i3-i1 #current in Amp\n",
+ "\n",
+ "#Results\n",
+ "print'Magnitude, I4 = %d A'%i4"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.2, Page 239"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "#Initialization\n",
+ "e=12 #EMF source in volt\n",
+ "v1=3 #node voltage\n",
+ "v3=3 #node voltage\n",
+ "\n",
+ "#Calculation\n",
+ "v2=v1+v3-e #node voltage\n",
+ "\n",
+ "#Results\n",
+ "print'V2 = %d V'%v2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.4, Page 242"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Voc = 10 V\n",
+ "R = 100 ohm\n"
+ ]
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "\n",
+ "#We have used method II for solving our problem by using simultaneous equations\n",
+ "\n",
+ "a = np.array([[25,-2],[400,-8]]) \n",
+ "b = np.array([[50],[3200]])\n",
+ "c=np.linalg.solve(a,b)\n",
+ "\n",
+ "print'Voc = %d V'%c[0]\n",
+ "print'R = %d ohm'%c[1]\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.5, Page 244"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Voltage, V = 7.14\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Initialization\n",
+ "r1=100 #Resistance in Ohm\n",
+ "r2=200 #Resistance in Ohm\n",
+ "r3=50 #Resistance in Ohm\n",
+ "v1=15 #voltage source\n",
+ "v2=20 #voltage source\n",
+ "\n",
+ "#Calculation\n",
+ "#Considering 15 V as a source & replace the other voltage source by its internal resistance,\n",
+ "r11=(r2*r3)*(r2+r3)**-1 #resistance in parallel\n",
+ "v11=v1*(r11/(r1+r11)) #voltage\n",
+ "#Considering 20 V as a source & replace the other voltage source by its internal resistance,\n",
+ "r22=(r1*r3)*(r1+r3)**-1 #resistance in parallel\n",
+ "v22=v2*(r22/(r2+r22)) #voltage\n",
+ "\n",
+ "#output of the original circuit\n",
+ "v33=v11+v22\n",
+ "\n",
+ "\n",
+ "\n",
+ "#Results\n",
+ "print'Voltage, V = %.2f'%v33"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.6, Page 246"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Output Current, I = 1.67 A\n"
+ ]
+ }
+ ],
+ "source": [
+ "#Initialization\n",
+ "r1=10 #Resistance in Ohm\n",
+ "r2=5 #Resistance in Ohm\n",
+ "v2=5 #voltage source\n",
+ "i=2 #current in Amp\n",
+ "\n",
+ "#Calculation\n",
+ "#Considering 5 V as a source & replace the current source by its internal resistance,\n",
+ "i1=v2*(r1+r2)**-1 #current using Ohms law\n",
+ "#Considering current source & replace the voltage source by its internal resistance,\n",
+ "r3=(r1*r2)*(r1+r2)**-1 #resistance in parallel\n",
+ "v3=i*r3 #voltage using Ohms law\n",
+ "i2=v3*r2**-1 #current using Ohms law\n",
+ "i3=i1+i2 #total current\n",
+ "\n",
+ "#Results\n",
+ "print'Output Current, I = %.2f A'%i3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.8, Page 251"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "V2 = 33.04 V\n",
+ "V3 = 43.15 V\n",
+ "Current, I1 = 1.73 A\n"
+ ]
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "r=25 #resistance in ohm\n",
+ "\n",
+ "#We have used for solving our problem by using simultaneous equations\n",
+ "\n",
+ "a = np.array([[(-13*60**-1),(1*20**-1)],[(1*60**-1),(-9*100**-1)]]) \n",
+ "b = np.array([[-5],[-100*30**-1]])\n",
+ "c=np.linalg.solve(a,b)\n",
+ "i1=c[1]/r #required current\n",
+ "\n",
+ "print'V2 = %.2f V'%c[0] #wrong answer in textbook\n",
+ "print'V3 = %.2f V'%c[1] #wrong answer in textbook\n",
+ "print'Current, I1 = %.2f A'%i1\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example 12.9, Page 253"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "I1 = 326 mA\n",
+ "I2 = 33 mA\n",
+ "I3 = 53 mA\n",
+ "Voltage, Ve = 0.197 V\n"
+ ]
+ }
+ ],
+ "source": [
+ "import numpy as np\n",
+ "re=10 #resistance in ohm\n",
+ "\n",
+ "#We have used for solving our problem by using simultaneous equations\n",
+ "\n",
+ "a = np.array([[(-160),(20), (30)],[(20),(-210), (10)], [(30),(10), (-190)]]) \n",
+ "b = np.array([[-50],[0],[0]])\n",
+ "c=np.linalg.solve(a,b)\n",
+ "ve=re*(c[2]-c[1])\n",
+ "\n",
+ "print'I1 = %d mA'%(c[0]*10**3) #current I1\n",
+ "print'I2 = %d mA'%(c[1]*10**3) #current I2\n",
+ "print'I3 = %d mA'%(c[2]*10**3) #current I3\n",
+ "print'Voltage, Ve = %.3f V'%ve\n",
+ " "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": []
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python [Root]",
+ "language": "python",
+ "name": "Python [Root]"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 2
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython2",
+ "version": "2.7.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
generated by cgit (git 2.34.1) at 2024-12-19 17:56:42 +0000