Basic Mathematics for Electricity and Electronics,9780028050225

Basic Mathematics for Electricity and Electronics

by ; ;
Edition: 8th
ISBN13: 9780028050225
ISBN10: 0028050223
Format: Hardcover
Pub. Date: 1999-10-22
Publisher(s): McGraw-Hill Education
List Price: $272.03

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Summary

The math theory is developed in slow, simple stages and is directly applied to the solution of real problems. This method is backed up with "CHECKUPS" which act as a motivator, and "BRUSHUPS" which review the mathematical concepts immediately necessary for the continuance of the electrical development and applications.

Table of Contents

Preface xiii
Introduction to Electricity
1(13)
Basic Theory of Electricity
1(5)
Electrical Measurements and Circuits
6(8)
Assessment
12(1)
Solutions to Self-Tests and Reviews
13(1)
Simple Electric Circuits
14(40)
Checkup on Fractions (Diagnostic Tests)
14(1)
Brushup on Fractions
15(9)
Ohm's Law
24(5)
Checkup on Decimals (Diagnostic Test)
29(1)
Introduction to Decimals
30(7)
Introduction to the Metric System
37(6)
Brushup on Decimals
43(6)
Review of Working with Decimals
49(5)
Assessment
52(1)
Solutions to Self-Tests and Reviews
53(1)
Formulas
54(44)
Checkup on Formulas in Electrical Work (Diagnostic Test)
54(1)
Brushup on Formulas
55(7)
Positive and Negative Numbers
62(4)
Checkup on Using Formulas with Exponents (Diagnostic Test)
66(1)
Brushup on Formulas Containing Exponents
67(2)
Powers of 10
69(9)
Units of Measurement in Electronics
78(4)
Using Electronic Units of Measurement in Simple Circuits
82(2)
Solving the Ohm's Law Formula for Current or Resistance
84(7)
Estimating Answers
91(1)
Review of Ohm's Law
92(6)
Assessment
96(1)
Solutions to Self-Tests and Reviews
97(1)
Series Circuits
98(38)
Voltage, Current, and Resistance in Series Circuits
98(4)
Using Ohm's Law in Series Circuits
102(4)
Using Ohm's Law for Total Values in Series Circuits
106(6)
Power Distribution Line Currents
112(3)
Ground-Fault Protection
115(1)
Intermediate Review of Series Circuits
116(3)
Checkup on Formulas Involving Addition and Subtraction (Diagnostic Test)
119(1)
Brushup on Formulas Involving Addition and Subtraction
119(8)
Control of Current in a Series Circuit
127(4)
Review of Series Circuits
131(5)
Assessment
134(1)
Solutions to Self-Tests and Reviews
135(1)
Parallel Circuits
136(41)
Total Voltage, Total Current, and Total Resistance in Parallel Circuits
136(5)
Using Ohm's Law in Parallel Circuits
141(3)
Check on Addition and Subtraction of Fractions (Diagnostic Test)
144(1)
Brushup on Addition of Fractions
144(5)
Brushup on Subtraction of Fractions
149(4)
Checkup on Solution of Formulas Involving Fractions (Diagnostic Test)
153(1)
Brushup on Solution of Fractional Equations
153(7)
Total Resistance in a Parallel Circuit
160(5)
Total Voltage in a Parallel Circuit
165(2)
Division of Current in a Parallel Circuit
167(5)
Review of Parallel Circuits
172(5)
Assessment
175(1)
Solutions to Self-Tests and Reviews
176(1)
Combination Circuits
177(35)
Introduction to Combination Circuits
177(1)
Solving Parallel-Series Circuits
178(5)
Solving Series-Parallel Circuits
183(13)
Line Drop
196(5)
Distribution Systems
201(6)
Analysis With Ideal Circuit Elements
207(5)
Assessment
210(1)
Solutions to Self-Tests and Reviews
211(1)
Electric Power
212(32)
Electric Power in Simple Circuits
212(3)
Total Power in an Electric Circuit
215(3)
Solving the Power Formula for Current or Voltage
218(1)
Intermediate Review of Power
219(2)
Squaring Powers of 10
221(2)
The Exponential Power Formulas
223(3)
Checkup on Square Root (Diagnostic Test)
226(1)
Brushup on Square Root
226(7)
The Square Root of a Power of 10
233(3)
Applications of the Exponential Power Formula
236(3)
Review of Electric Power
239(5)
Assessment
242(1)
Solutions to Self-Tests and Reviews
243(1)
Algebra for Complex Electric Circuits
244(40)
Combining Like Terms
244(2)
Combining Unlike Terms
246(2)
Solving Simple Algebraic Equations
248(6)
Solving Equations by Transpositions and Cross Multiplication
254(3)
Combining Unlike Terms Involving Signed Numbers
257(1)
Solving Equations Which Have Unknowns and Numbers on Both Sides of the Equality Sign
258(2)
Solving Equations with Possible Negative Answers
260(2)
Removing Parentheses
262(2)
Solving Equations Containing Parentheses
264(3)
Solving Equations Containing Fractions
267(3)
Solving Simultaneous Equations by Addition
270(6)
Solving Simultaneous Equations by Substitution
276(3)
Review of Algebra
279(5)
Assessment
282(1)
Solutions to Self-Tests and Reviews
283(1)
Kirchhoff's Laws
284(61)
Kirchhoff's Current Law
284(2)
Kirchhoff's Voltage Law
286(3)
Using Kirchhoff's Laws in Series Circuits
289(7)
Using Kirchhoff's Laws in Parallel Circuits
296(4)
Using Kirchhoff's Laws in Complex Circuits
300(16)
Review of Kirchhoff's Laws
316(3)
Equivalent Delta and Star Circuits
319(6)
Thevenin's Theorem
325(13)
Norton's Theorem
338(4)
Review
342(3)
Assessment
343(1)
Solutions to Self-Tests and Reviews
344(1)
Applications of Series and Parallel Circuits
345(53)
Extending the Range of an Ammeter
345(4)
Reading Ammeters of Extended Range
349(1)
Extending the Range of a Voltmeter
350(4)
Review of Meters
354(2)
Voltage Dividers
356(5)
Resistance Measurement by the Voltage-Comparison Method. The Potentiometer Rule
361(5)
Resistance Measurement Using the Wheatstone Bridge
366(2)
Equivalent Circuits
368(4)
DC Equivalent Circuits for Self-Biased Transistor Circuits
372(6)
DC Equivalent Circuits for Fixed-Bias Transistor Circuits
378(3)
Transistor Equivalent Circuits
381(6)
Attenuators
387(7)
Power and Resistor Size
394(4)
Assessment
396(1)
Solutions to Self-Tests and Reviews
397(1)
Efficiency
398(22)
Checkup on Percent (Diagnostic Test)
398(1)
Brushup on Percent
399(9)
Conversion Factors for Electric and Mechanical Power
408(1)
Efficiency of Electric Apparatus
409(2)
Finding the Output and Input of an Electric Device
411(3)
Load Matching for Power Transfer
414(2)
Review of Conversion Factors and Efficiency
416(4)
Assessment
418(1)
Solutions to Self-Tests and Reviews
419(1)
Resistance of Wire
420(41)
Checkup on Ratio and Proportion (Diagnostic Test)
420(1)
Brushup on Ratio and Proportion
421(10)
Review of Ratio and Proportion
431(1)
The American Wire Gage Table
432(5)
Resistance of Wires of Different Materials
437(2)
Resistances of Wires of Different Lengths
439(1)
Resistances of Wires of Different Areas
440(2)
Resistance of Wires of Any Diameter, Any Length, or Any Material
442(2)
Finding the Length of Wire Needed to Make a Certain Resistance
444(2)
Finding the Diameter of Wire Needed to Make a Certain Resistance
446(2)
Temperature Coefficients of Resistance
448(9)
Review of Resistance of Wires
457(4)
Assessment
459(1)
Solutions to Self-Tests and Reviews
460(1)
Size of Wiring
461(16)
Maximum Current-Carrying Capacities of Wires
461(3)
Finding the Minimum Size of Wire to Supply a Given Load
464(2)
Finding the Size of Wire Needed to Prevent Excessive Voltage Drops
466(5)
Temperature and Wire Size
471(2)
Review of Size of Wiring
473(4)
Assessment
475(1)
Solutions to Self-Tests and Reviews
476(1)
Trigonometry for Alternating-Current Electricity
477(21)
Trigonometric Functions of a Right Triangle
477(7)
Using the Table of Trigonometric Functions
484(1)
Finding the Acute Angles of a Right Triangle
485(4)
Finding the Sides of a Right Triangle
489(4)
Review of Trigonometry
493(5)
Assessment
496(1)
Solutions to Self-Tests and Reviews
497(1)
Introduction to AC Electricity
498(43)
Graphs
498(8)
The Generation of an AC Voltage
506(8)
Instantaneous Values, Maximum Values, and Phase Angles of an AC Wave
514(2)
Effective Value of an AC Wave
516(4)
Measuring Alternating Current with an Oscilloscope
520(3)
Vectors and Phasors
523(3)
The Pythagorean Theorem
526(3)
Power
529(3)
Harmonic Analysis
532(9)
Assessment
539(1)
Solutions to Self-Tests and Reviews
540(1)
Inductance and Transformers
541(64)
Inductance
541(2)
Review of Inductance
543(1)
Reactance of a Coil
544(4)
Series Resistance and Inductance
548(8)
Real Inductor Losses and Quality
556(3)
Measuring the Inductance of a Coil
559(3)
Review of Coils and Inductance
562(1)
Transmission Lines
563(3)
Introduction to Ideal Transformers
566(5)
Current in a Transformer
571(4)
Impedance Changing Using Transformers
575(2)
Review of Ideal Transformers
577(2)
Real Transformers
579(8)
Efficiency of a Transformer
587(4)
Real Cables and Power Distribution
591(14)
Assessment
603(1)
Solutions to Self-Tests and Reviews
604(1)
Capacitance
605(27)
Introduction to Capacitance
605(2)
Capacitors in Parallel
607(2)
Capacitors in Series
609(4)
Reactance of a Capacitor
613(5)
Current and Voltage in a Capacitor
618(2)
Measurement of Capacity
620(1)
A Real Capacitor
621(8)
Review of Capacitance
629(3)
Assessment
630(1)
Solutions to Self-Tests and Reviews
631(1)
Series AC Circuits
632(26)
Simple Series AC Circuits
632(1)
Resistance and Capacitance in Series
632(5)
Resistance, Inductance, and Capacitance in Series
637(8)
Series Resonance
645(4)
Finding the Inductance or Capacitance Needed to Make a Series Resonant Circuite
649(3)
Review of Series AC Circuits
652(6)
Assessment
656(1)
Solutions to Self-Tests and Reviews
657(1)
Parallel AC Circuits
658(58)
Simple Parallel AC Circuits
658(6)
Resistance and Inductance in Parallel
664(5)
Resistance, Inductance, and Capacitance in Parallel. The Equivalent Series Circuit
669(5)
Resolution of Phasors
674(4)
Power Filters and Ground Loops
678(11)
Parallel-Series AC Circuits
689(12)
Series-Parallel AC Circuits
701(5)
Parallel Resonance
706(3)
Review of Parallel AC Circuits
709(7)
Assessment
714(1)
Solutions to Self-Tests and Reviews
715(1)
Alternating-Current Power
716(38)
Power and Power Factor
716(5)
Total Power Drawn by Combinations of Reactive Loads
721(8)
Power Drawn by Combinations of Resistive, Inductive, and Capacitive Loads
729(5)
Power-Factor Correction
734(11)
Review of AC Power
745(3)
Three-Wire Single-Phase 120/240 Circuits
748(6)
Assessment
752(1)
Solutions to Self-Tests and Reviews
753(1)
Three-Phase Systems
754(23)
The Wye Connection
754(9)
The Delta Connection
763(7)
Review of Three-Phase Connections
770(7)
Assessment
776(1)
Three-Phase Transformer Connections
777(25)
Overview of Three-Phase Transformer Connections
777(4)
Balanced Three-Phase Loads
781(14)
Three-Phase Power from Two Transformers
795(7)
Assessment
801(1)
Mathematics for Logic Controls
802(35)
Introduction
802(1)
Simple Switches
803(4)
Truth Tables
807(3)
The OR Functions
810(3)
Summary of the Elementary Functions
813(2)
Systems of Elementary Functions
815(4)
Switching Circuit Inverter
819(2)
Relays in Logic Circuits
821(8)
Digital Logic Circuits
829(8)
Assessment
835(1)
Solutions to Self-Tests and Reviews
836(1)
Signal Distribution
837(17)
Exponentials and Logarithms
838(6)
Review of Exponentials and Logs
844(1)
Bels and Decibels
844(1)
Voltage and Current Forms of the dB Equation
845(3)
Cables and Cable Losses
848(6)
Assessment
852(1)
Solutions to Self-Tests and Reviews
853(1)
Appendix A 854(1)
Color Codes
854(4)
Preferred Values of Components
858(1)
Trigonometric Functions of Decimal Degrees
859
Appendix B 854(12)
Bibliography 866(1)
Answers to Selected Problems 867(18)
Answers to Internet Activities 885(4)
Index 889

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