{
"cells": [
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"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",
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"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"
]
}
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