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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 4 : Series Circuits"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_1 Page No. 117"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The Combined Series Resistance = 20 Ohms\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Two resistances R1 and R2 of 5 Ohms\u0004 each and R3 of 10 Ohms\u0004 are in series. How much is Rt?\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "R1 = 5# # Resistor 1=5 Ohms\n",
+ "R2 = 5# # Resistor 2=5 Ohms\n",
+ "R3 = 10# # Resistor 3=10 Ohms\n",
+ "\n",
+ "Rt = R1+R2+R3#\n",
+ "print 'The Combined Series Resistance = %0.f Ohms'%Rt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_2 Page No. 117"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The Current in Resistor R3 connected in Series = 4 Amps\n"
+ ]
+ }
+ ],
+ "source": [
+ "#With 80 V applied across the series string, how much is the current in R3?\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "Rt = 20# # Total Resistance=20 Ohms\n",
+ "Vt = 80# # Applied Voltage=80 Volts\n",
+ "\n",
+ "I = Vt/Rt#\n",
+ "print 'The Current in Resistor R3 connected in Series = %0.f Amps'%I"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_3 Page No. 119"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The combined series resistance = 60 ohms\n",
+ "The current = 0.20 Amps\n",
+ "i.e 200 mA\n",
+ "The Voltage Drop of Resistor R1 = 2.00 Volts\n",
+ "The Voltage Drop of Resistor R2 = 4.00 Volts\n",
+ "The Voltage Drop of Resistor R3 = 6.00 Volts\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Solve for Rt, I and the individual resistor voltage drops at R1, R2, R3.\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "R1 = 10.# # Resistor 1=10 Ohms\n",
+ "R2 = 20.# # Resistor 2=20 Ohms\n",
+ "R3 = 30.# # Resistor 3=30 Ohms\n",
+ "Vt = 12.0# # Applied Voltage=12 Volts\n",
+ "\n",
+ "Rt = R1+R2+R3#\n",
+ "print 'The combined series resistance = %0.f ohms'%Rt\n",
+ "\n",
+ "I = Vt/Rt#\n",
+ "print 'The current = %0.2f Amps'%I\n",
+ "print 'i.e 200 mA'\n",
+ "\n",
+ "V1 = I*R1\n",
+ "print 'The Voltage Drop of Resistor R1 = %0.2f Volts'%V1\n",
+ "\n",
+ "V2 = I*R2\n",
+ "print 'The Voltage Drop of Resistor R2 = %0.2f Volts'%V2\n",
+ "\n",
+ "V3 = I*R3\n",
+ "print 'The Voltage Drop of Resistor R3 = %0.2f Volts'%V3"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_4 Page No. 123"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The Applied Voltage Vt = 280 Volts\n"
+ ]
+ }
+ ],
+ "source": [
+ "# A voltage source produces an IR drop of 40 V across a 20 Ohms R1, 60 V across a 30 Ohms\u0004 R2, and 180 V across a 90 Ohms\u0004 R3, all in series. According to Kirchhoff’s voltage law, how much is the applied voltage Vt ?\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "V1 = 40# # Voltage drop at R1=40 Volts\n",
+ "V2 = 60# # Voltage drop at R2=60 Volts\n",
+ "V3 = 180# # Voltage drop at R3=180 Volts\n",
+ "\n",
+ "Vt = V1+V2+V3#\n",
+ "print 'The Applied Voltage Vt = %0.f Volts'%Vt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_5 Page No. 123"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The Voltage Drop across Resistor R2 = 80 Volts\n"
+ ]
+ }
+ ],
+ "source": [
+ "# An applied Vt of 120 V produces IR drops across two series resistors R 1 and R 2 If the voltage drop across R1 is 40 V, how much is the voltage drop across R2?\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "V1 = 40# # Voltage drop at R1=40 Volts\n",
+ "Vt = 120# # Applied Voltage=120 Volts\n",
+ "\n",
+ "V2 = Vt-V1#\n",
+ "print 'The Voltage Drop across Resistor R2 = %0.f Volts'%V2"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_6 Page No. 131"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The Voltage Drop of Resistor R1 = 6.00 Volts\n",
+ "The Voltage Drop of Resistor R2 = 4.80 Volts\n",
+ "The Voltage Drop of Resistor R3 = 7.20 Volts\n",
+ "The Voltage Drop of Resistor R4 = 6.00 Volts\n",
+ "The Resistor R3 is defective since it is open circuit and drops all the voltage arround it\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Assume that the series circuit in Fig. 4–20 has failed. A technician troubleshooting the circuit used a voltmeter to record the following resistor voltage drops. V1=0 V# V2=0 V# V3=24 V# V4=0 V. Based on these voltmeter readings, which component is defective and what type of defect is it? (Assume that only one component is defective.)\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "R1 = 150.# # Resistor 1=150 Ohms\n",
+ "R2 = 120.# # Resistor 2=120 Ohms\n",
+ "R3 = 180.# # Resistor 3=180 Ohms\n",
+ "R4 = 150.# # Resistor 4=150 Ohms\n",
+ "Vt = 24.# # Applied Voltage=24 Volts\n",
+ "\n",
+ "Rt = R1+R2+R3+R4#\n",
+ "\n",
+ "I = Vt/Rt#\n",
+ "\n",
+ "V1 = I*R1\n",
+ "print 'The Voltage Drop of Resistor R1 = %0.2f Volts'%V1\n",
+ "\n",
+ "V2 = I*R2\n",
+ "print 'The Voltage Drop of Resistor R2 = %0.2f Volts'%V2\n",
+ "\n",
+ "V3 = I*R3\n",
+ "print 'The Voltage Drop of Resistor R3 = %0.2f Volts'%V3\n",
+ "\n",
+ "V4 = I*R4\n",
+ "print 'The Voltage Drop of Resistor R4 = %0.2f Volts'%V4\n",
+ "\n",
+ "print 'The Resistor R3 is defective since it is open circuit and drops all the voltage arround it'"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example No. 4_7 Page No. 133"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Calculated from the Circuit\n",
+ "The Voltage Drop of Resistor R1 = 6.00 Volts\n",
+ "The Voltage Drop of Resistor R2 = 4.80 Volts\n",
+ "The Voltage Drop of Resistor R3 = 7.20 Volts\n",
+ "The Voltage Drop of Resistor R4 = 6.00 Volts\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Assume that the series circuit has failed. A technician troubleshooting the circuit used a voltmeter to record the following resistor voltage drops: V1 \u0005 8 V#V2 \u0005 6.4 V#V3 \u0005 9.6 V#V4 \u0005 0 V. Based on the voltmeter readings, which component is defective and what type of defect is it? (Assume that only one component is defective.)\n",
+ "\n",
+ "# Given data\n",
+ "\n",
+ "R1 = 150.# # Resistor 1=150 Ohms\n",
+ "R2 = 120.# # Resistor 2=120 Ohms\n",
+ "R3 = 180.# # Resistor 3=180 Ohms\n",
+ "R4 = 150.# # Resistor 4=150 Ohms\n",
+ "Vt = 24.# # Applied Voltage=24 Volts\n",
+ "\n",
+ "print 'Calculated from the Circuit'\n",
+ "\n",
+ "Rt = R1+R2+R3+R4#\n",
+ "\n",
+ "I = Vt/Rt#\n",
+ "\n",
+ "V1 = I*R1\n",
+ "print 'The Voltage Drop of Resistor R1 = %0.2f Volts'%V1\n",
+ "\n",
+ "V2 = I*R2\n",
+ "print 'The Voltage Drop of Resistor R2 = %0.2f Volts'%V2\n",
+ "\n",
+ "V3 = I*R3\n",
+ "print 'The Voltage Drop of Resistor R3 = %0.2f Volts'%V3\n",
+ "\n",
+ "V4 = I*R4\n",
+ "print 'The Voltage Drop of Resistor R4 = %0.2f Volts'%V4\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"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
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