Fundamentals of Electrical Circuit Analysis

von: Md. Abdus Salam, Quazi Mehbubar Rahman

Springer-Verlag, 2018

ISBN: 9789811086243 , 466 Seiten

Format: PDF, Online Lesen

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Fundamentals of Electrical Circuit Analysis


 

Preface

6

Organization of the Book

7

Contents

8

1 Fundamental Electrical Terms

13

1.1 Introduction

13

1.2 Charge

13

1.3 Current

13

1.4 Direct and Alternating Currents

16

1.5 Conductor, Insulator and Semiconductor

16

1.6 Resistance and Conductance

17

1.7 Voltage

20

1.8 Voltage and Current Sources

22

1.9 Electric Power and Energy

24

1.10 Measuring Equipment

27

1.10.1 Ohmmeter

27

1.10.2 Ammeter

28

1.10.3 Voltmeter

28

1.10.4 Wattmeter

29

1.11 Electricity Bill

30

1.12 Efficiency of a System

30

1.13 PSpice Fundamentals

32

Exercise Problems

34

References

36

2 Electrical Laws

37

2.1 Introduction

37

2.2 Ohm’s Law

37

2.3 Kirchhoff’s Current Law

39

2.4 Kirchhoff’s Voltage Law

41

2.5 Series Resistors and Voltage Division Rule

43

2.6 Parallel Resistors and Current Division Rule

46

2.7 Delta–Wye Transformation

53

2.8 Wye–Delta Transformation

54

2.9 Short Circuit and Open Circuit

59

2.10 Source Configuration

62

2.11 Source Conversion Technique

66

Exercise Problems

68

References

85

3 Different Methods for Circuit Analysis

86

3.1 Introduction

86

3.2 Cramer’s Rule

86

3.3 Mesh Analysis with Independent Source

88

3.4 Mesh Analysis with Dependent Source

91

3.5 Supermesh Circuit

93

3.6 Nodal Analysis

99

3.7 Nodal Analysis with Dependent Source

102

3.8 Supernode

105

Exercise Problems

111

References

120

4 Network Theorems

121

4.1 Introduction

121

4.2 Linearity Property

121

4.3 Superposition Theorem

127

4.4 Analysis of Superposition Theorem with Dependent Source

131

4.5 Thevenin’s Theorem

136

4.6 Thevenin’s Theorem with Dependent Source

142

4.7 Norton’s Theorem

147

4.8 Maximum Power Transfer Theorem

154

Exercise Problems

159

5 Capacitors and Inductors

186

5.1 Introduction

186

5.2 Capacitors

186

5.3 Parallel Plate Capacitor with Uniform Medium

187

5.4 Current–Voltage Terminal Characteristics of a Capacitor

189

5.5 Energy Stored in a Capacitor

192

5.6 Series and Parallel Capacitors

196

5.7 Current and Voltage Divider Rules for Capacitor

200

5.8 Coaxial Capacitor

203

5.9 Spherical Capacitor

204

5.10 Parallel Plate Capacitor with Two Dielectric Slabs

206

5.11 Inductor and Inductance

209

5.12 Current–Voltage Terminal Characteristics of an Inductor

212

5.13 Energy Stored in an Inductor

214

5.14 Series Inductors

215

5.15 Parallel Inductors

217

5.16 RC Circuit Analysis

222

5.17 RL Circuit Analysis

228

5.18 RC Circuit with Step Response

233

5.19 RL Circuit with Step Response

237

Exercise Problems

240

References

244

6 Alternating Current

245

6.1 Introduction

245

6.2 Alternating Current Parameters

245

6.3 Root Mean Square Value

249

6.4 Average Value

252

6.5 RMS Value for Complex Waveform

254

6.6 Form Factor and Peak Factor

256

6.7 Concept of Phasor

256

6.8 The j-Operator

258

6.9 Phasor Algebra

259

6.10 Alternating Current Circuit with Resistor

260

6.11 Alternating Current Circuit with Inductor

262

6.12 Alternating Current Circuit with Capacitor

265

6.13 Impedance and Admittance

268

6.14 Kirchhoff’s Laws in AC Circuit

271

6.15 Impedance and Admittance in Series

272

6.16 Impedance and Admittance in Parallel Connection

274

6.17 Delta-to-Wye Conversion

276

6.18 Wye-to-Delta Conversion

277

Exercise Problems

279

References

287

7 AC Circuit Analysis

288

7.1 Introduction

288

7.2 Nodal Analysis

288

7.3 Mesh Analysis

294

7.4 Superposition Theorem

299

7.5 Thevenin’s and Norton’s Theorems

307

7.6 Source Conversion Technique

313

Exercise Problems

315

References

327

8 AC Power Analysis

328

8.1 Introduction

328

8.2 Instantaneous Power

328

8.3 Average Power and Reactive Power

330

8.4 Apparent Power

333

8.5 Complex Power

335

8.6 Complex Power Balance

340

8.7 Power Factor and Reactive Factor

343

8.8 Power Factor Correction

344

8.9 Maximum Power Transfer

348

Exercise Problems

352

References

357

9 Three-Phase Circuits

358

9.1 Introduction

358

9.2 Three-Phase Voltage Generation

358

9.3 Phase Sequence

360

9.4 Wye Connection

361

9.5 Analysis for Wye Connection

361

9.6 Wye–Wye Connection

365

9.7 Delta Connection

367

9.8 Analysis for Delta Connection

368

9.9 Wye–Delta Connection Without Line Impedance

369

9.10 Wye–Delta Connection with Line Impedance

372

9.11 Delta–Wye System Without Line Impedance

374

9.12 Unbalanced Systems

377

9.13 Three-Phase Power Analysis

379

9.14 Parallel Delta–Wye Load

385

9.15 Measurement of Three-Phase Power

388

Exercise Problems

392

References

402

10 Frequency Response

403

10.1 Introduction

403

10.2 Frequency Response with Resistance, Inductance and Capacitance

403

10.3 Transfer Function

405

10.4 Decibel

407

10.5 Low Pass Filter

408

10.6 High Pass Filter

413

10.7 Series Resonance

416

10.8 Quality Factor for Series Resonance

417

10.9 Bandwidth for Series Resonance

418

10.10 Parallel Resonance

423

10.11 Bode Plot

428

10.12 Bode Plots for Second Order

435

Exercise Problems

440

References

447

Appendix A: Important Mathematical Formulae

448

A.1 Introduction

448

A.2 Trigonometric Formulae

448

A.3 Trigonometric Formulae

448

A.4 Exponential and Logarithmic Formulae

450

A.5 Derivative Integral Formulae

450

Appendix B: Answers to Practice and Exercise Problems

451

Index

464