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Basic Mathematics for Electricity and Electronics

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ISBN-10: 0070575436

ISBN-13: 9780070575431

Edition: 6th (Teachers Edition, Instructors Manual, etc.)

Authors: Bertrand B. Singer, Harry Forster

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Book details

Edition: 6th
Publisher: McGraw-Hill Companies, The
Binding: Hardcover
Pages: 752
Size: 11.00" wide x 8.48" long x 0.25" tall
Weight: 0.330
Language: English

Prefacep. xiii
Introduction to Electricityp. 1
Basic Theory of Electricityp. 1
Electrical Measurements and Circuitsp. 6
Assessmentp. 12
Solutions to Self-Tests and Reviewsp. 13
Simple Electric Circuitsp. 14
Checkup on Fractions (Diagnostic Tests)p. 14
Brushup on Fractionsp. 15
Ohm's Lawp. 24
Checkup on Decimals (Diagnostic Test)p. 29
Introduction to Decimalsp. 30
Introduction to the Metric Systemp. 37
Brushup on Decimalsp. 43
Review of Working with Decimalsp. 49
Assessmentp. 52
Solutions to Self-Tests and Reviewsp. 53
Formulasp. 54
Checkup on Formulas in Electrical Work (Diagnostic Test)p. 54
Brushup on Formulasp. 55
Positive and Negative Numbersp. 62
Checkup on Using Formulas with Exponents (Diagnostic Test)p. 66
Brushup on Formulas Containing Exponentsp. 67
Powers of 10p. 69
Units of Measurement in Electronicsp. 78
Using Electronic Units of Measurement in Simple Circuitsp. 82
Solving the Ohm's Law Formula for Current or Resistancep. 84
Estimating Answersp. 91
Review of Ohm's Lawp. 92
Assessmentp. 96
Solutions to Self-Tests and Reviewsp. 97
Series Circuitsp. 98
Voltage, Current, and Resistance in Series Circuitsp. 98
Using Ohm's Law in Series Circuitsp. 102
Using Ohm's Law for Total Values in Series Circuitsp. 106
Power Distribution Line Currentsp. 112
Ground-Fault Protectionp. 115
Intermediate Review of Series Circuitsp. 116
Checkup on Formulas Involving Addition and Subtraction (Diagnostic Test)p. 119
Brushup on Formulas Involving Addition and Subtractionp. 119
Control of Current in a Series Circuitp. 127
Review of Series Circuitsp. 131
Assessmentp. 134
Solutions to Self-Tests and Reviewsp. 135
Parallel Circuitsp. 136
Total Voltage, Total Current, and Total Resistance in Parallel Circuitsp. 136
Using Ohm's Law in Parallel Circuitsp. 141
Check on Addition and Subtraction of Fractions (Diagnostic Test)p. 144
Brushup on Addition of Fractionsp. 144
Brushup on Subtraction of Fractionsp. 149
Checkup on Solution of Formulas Involving Fractions (Diagnostic Test)p. 153
Brushup on Solution of Fractional Equationsp. 153
Total Resistance in a Parallel Circuitp. 160
Total Voltage in a Parallel Circuitp. 165
Division of Current in a Parallel Circuitp. 167
Review of Parallel Circuitsp. 172
Assessmentp. 175
Solutions to Self-Tests and Reviewsp. 176
Combination Circuitsp. 177
Introduction to Combination Circuitsp. 177
Solving Parallel-Series Circuitsp. 178
Solving Series-Parallel Circuitsp. 183
Line Dropp. 196
Distribution Systemsp. 201
Analysis With Ideal Circuit Elementsp. 207
Assessmentp. 210
Solutions to Self-Tests and Reviewsp. 211
Electric Powerp. 212
Electric Power in Simple Circuitsp. 212
Total Power in an Electric Circuitp. 215
Solving the Power Formula for Current or Voltagep. 218
Intermediate Review of Powerp. 219
Squaring Powers of 10p. 221
The Exponential Power Formulasp. 223
Checkup on Square Root (Diagnostic Test)p. 226
Brushup on Square Rootp. 226
The Square Root of a Power of 10p. 233
Applications of the Exponential Power Formulap. 236
Review of Electric Powerp. 239
Assessmentp. 242
Solutions to Self-Tests and Reviewsp. 243
Algebra for Complex Electric Circuitsp. 244
Combining Like Termsp. 244
Combining Unlike Termsp. 246
Solving Simple Algebraic Equationsp. 248
Solving Equations by Transpositions and Cross Multiplicationp. 254
Combining Unlike Terms Involving Signed Numbersp. 257
Solving Equations Which Have Unknowns and Numbers on Both Sides of the Equality Signp. 258
Solving Equations with Possible Negative Answersp. 260
Removing Parenthesesp. 262
Solving Equations Containing Parenthesesp. 264
Solving Equations Containing Fractionsp. 267
Solving Simultaneous Equations by Additionp. 270
Solving Simultaneous Equations by Substitutionp. 276
Review of Algebrap. 279
Assessmentp. 282
Solutions to Self-Tests and Reviewsp. 283
Kirchhoff's Lawsp. 284
Kirchhoff's Current Lawp. 284
Kirchhoff's Voltage Lawp. 286
Using Kirchhoff's Laws in Series Circuitsp. 289
Using Kirchhoff's Laws in Parallel Circuitsp. 296
Using Kirchhoff's Laws in Complex Circuitsp. 300
Review of Kirchhoff's Lawsp. 316
Equivalent Delta and Star Circuitsp. 319
Thevenin's Theoremp. 325
Norton's Theoremp. 338
Reviewp. 342
Assessmentp. 343
Solutions to Self-Tests and Reviewsp. 344
Applications of Series and Parallel Circuitsp. 345
Extending the Range of an Ammeterp. 345
Reading Ammeters of Extended Rangep. 349
Extending the Range of a Voltmeterp. 350
Review of Metersp. 354
Voltage Dividersp. 356
Resistance Measurement by the Voltage-Comparison Method. The Potentiometer Rulep. 361
Resistance Measurement Using the Wheatstone Bridgep. 366
Equivalent Circuitsp. 368
DC Equivalent Circuits for Self-Biased Transistor Circuitsp. 372
DC Equivalent Circuits for Fixed-Bias Transistor Circuitsp. 378
Transistor Equivalent Circuitsp. 381
Attenuatorsp. 387
Power and Resistor Sizep. 394
Assessmentp. 396
Solutions to Self-Tests and Reviewsp. 397
Efficiencyp. 398
Checkup on Percent (Diagnostic Test)p. 398
Brushup on Percentp. 399
Conversion Factors for Electric and Mechanical Powerp. 408
Efficiency of Electric Apparatusp. 409
Finding the Output and Input of an Electric Devicep. 411
Load Matching for Power Transferp. 414
Review of Conversion Factors and Efficiencyp. 416
Assessmentp. 418
Solutions to Self-Tests and Reviewsp. 419
Resistance of Wirep. 420
Checkup on Ratio and Proportion (Diagnostic Test)p. 420
Brushup on Ratio and Proportionp. 421
Review of Ratio and Proportionp. 431
The American Wire Gage Tablep. 432
Resistances of Wires of Different Materialsp. 437
Resistances of Wires of Different Lengthsp. 439
Resistances of Wires of Different Areasp. 440
Resistance of Wires of Any Diameter, Any Length, or Any Materialp. 442
Finding the Length of Wire Needed to Make a Certain Resistancep. 444
Finding the Diameter of Wire Needed to Make a Certain Resistancep. 446
Temperature Coefficients of Resistancep. 448
Review of Resistance of Wiresp. 457
Assessmentp. 459
Solutions to Self-Tests and Reviewsp. 460
Size of Wiringp. 461
Maximum Current-Carrying Capacities of Wiresp. 461
Finding the Minimum Size of Wire to Supply a Given Loadp. 464
Finding the Size of Wire Needed to Prevent Excessive Voltage Dropsp. 466
Temperature and Wire Sizep. 471
Review of Size of Wiringp. 473
Assessmentp. 475
Solutions to Self-Tests and Reviewsp. 476
Trigonometry for Alternating-Current Electricityp. 477
Trigonometric Functions of a Right Trianglep. 477
Using the Table of Trigonometric Functionsp. 484
Finding the Acute Angles of a Right Trianglep. 485
Finding the Sides of a Right Trianglep. 489
Review of Trigonometryp. 493
Assessmentp. 496
Solutions to Self-Tests and Reviewsp. 497
Introduction to AC Electricityp. 498
Graphsp. 498
The Generation of an AC Voltagep. 506
Instantaneous Values, Maximum Values, and Phase Angles of an AC Wavep. 514
Effective Value of an AC Wavep. 516
Measuring Alternating Current with an Oscilloscopep. 520
Vectors and Phasorsp. 523
The Pythagorean Theoremp. 526
Powerp. 529
Harmonic Analysisp. 532
Assessmentp. 539
Solutions to Self-Tests and Reviewsp. 540
Inductance and Transformersp. 541
Inductancep. 541
Review of Inductancep. 543
Reactance of a Coilp. 544
Series Resistance and Inductancep. 548
Real Inductor Losses and Qualityp. 556
Measuring the Inductance of a Coilp. 559
Review of Coils and Inductancep. 562
Transmission Linesp. 563
Introduction to Ideal Transformersp. 566
Current in a Transformerp. 571
Impedance Changing Using Transformersp. 575
Review of Ideal Transformersp. 577
Real Transformersp. 579
Efficiency of a Transformerp. 587
Real Cables and Power Distributionp. 591
Assessmentp. 603
Solutions to Self-Tests and Reviewsp. 604
Capacitancep. 605
Introduction to Capacitancep. 605
Capacitors in Parallelp. 607
Capacitors in Seriesp. 609
Reactance of a Capacitorp. 613
Current and Voltage in a Capacitorp. 618
Measurement of Capacityp. 620
A Real Capacitorp. 621
Review of Capacitancep. 629
Assessmentp. 630
Solutions to Self-Tests and Reviewsp. 631
Series AC Circuitsp. 632
Simple Series AC Circuitsp. 632
Resistance and Capacitance in Seriesp. 632
Resistance, Inductance, and Capacitance in Seriesp. 637
Series Resonancep. 645
Finding the Inductance or Capacitance Needed to Make a Series Resonant Circuitp. 649
Review of Series AC Circuitsp. 652
Assessmentp. 656
Solutions to Self-Tests and Reviewsp. 657
Parallel AC Circuitsp. 658
Simple Parallel AC Circuitsp. 658
Resistance and Inductance in Parallelp. 664
Resistance, Inductance, and Capacitance in Parallel. The Equivalent Series Circuitp. 669
Resolution of Phasorsp. 674
Power Filters and Ground Loopsp. 678
Parallel-Series AC Circuitsp. 689
Series-Parallel AC Circuitsp. 701
Parallel Resonancep. 706
Review of Parallel AC Circuitsp. 709
Assessmentp. 714
Solutions to Self-Tests and Reviewsp. 715
Alternating-Current Powerp. 716
Power and Power Factorp. 716
Total Power Drawn by Combinations of Reactive Loadsp. 721
Power Drawn by Combinations of Resistive, Inductive, and Capacitive Loadsp. 729
Power-Factor Correctionp. 734
Review of AC Powerp. 745
Three-Wire Single-Phase 120/240 Circuitsp. 748
Assessmentp. 752
Solutions to Self-Tests and Reviewsp. 753
Three-Phase Systemsp. 754
The Wye Connectionp. 754
The Delta Connectionp. 763
Review of Three-Phase Connectionsp. 770
Assessmentp. 776
Three-Phase Transformer Connectionsp. 777
Overview of Three-Phase Transformer Connectionsp. 777
Balanced Three-Phase Loadsp. 781
Three-Phase Power from Two Transformersp. 795
Assessmentp. 801
Mathematics for Logic Controlsp. 802
Introductionp. 802
Simple Switchesp. 803
Truth Tablesp. 807
The OR Functionsp. 810
Summary of the Elementary Functionsp. 813
Systems of Elementary Functionsp. 815
Switching Circuit Inverterp. 819
Relays in Logic Circuitsp. 821
Digital Logic Circuitsp. 829
Assessmentp. 835
Solutions to Self-Tests and Reviewsp. 836
Signal Distributionp. 837
Exponentials and Logarithmsp. 838
Review of Exponentials and Logsp. 844
Bels and Decibelsp. 844
Voltage and Current Forms of the dB Equationp. 845
Cables and Cable Lossesp. 848
Assessmentp. 852
Solutions to Self-Tests and Reviewsp. 853
Appendix Ap. 854
Color Codesp. 854
Preferred Values of Componentsp. 858
Trigonometric Functions of Decimal Degreesp. 859
Appendix Bp. 854
Bibliographyp. 866
Answers to Selected Problemsp. 867
Answers to Internet Activitiesp. 885
Indexp. 889
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