Contents
Preface xii
Acknowledgements xv
1 Elements and Laws 1
1.1 Introduction 1
1.2 Electric current 1
1.3 Voltage, e.m.f. and p.d. 3
1.4 Power in d.c. circuits 4
1.5 Linear passive circuit elements 4
1.6 Resistance, conductance and Ohm's law 5
1.7 Power in a resistive circuit 6
1.8 Energy consumed in a resistive circuit 7
1.9 Independent and dependent supply sources 8
1.9.1 The operational amplifier 9
1.10 Kirchhoff's laws 11
1.11 The double-suffix voltage notation 14
1.12 Practical (non-ideal) sources 16
1.13 Transformation of practical sources 17
1.14 Resistance of aseries circuit 19
1.15 Voltage division in series-connected resistors 20
1.16 Resistance and conductance of a parallel circuit 21
1.17 Current division in a parallel circuit 22
Unworked problems 24
2 Circuit Analysis 28
2.1 Introduction 28
2.2 Definitions and terminology 28
2.3 Mesh analysis 31
2.4 General mIes for writing mesh equations 34
2.5 Solution of three simultaneous equations 34
2.6 Worked examples using mesh analysis 37
2.7 Nodal analysis 41
2.8 General mIes for writing nodal equations 44
2.9 Worked examples using nodal analysis 44
2.10 Network topology 49
2.11 Loop analysis 52
2.12 Duality 54
Unworked problems 57
3 Circuit Theorems 61
3.1 Introduction 61
3.2 Linearity 61
3.3 Principle of superposition 61
3.4 Thevenin's theorem 63
3.5 Norton's theorem 65
3.6 Relationship between Thevenin's and Norton's
circuits 67
3.7 Reciprocity theorem 67
3.8 The maximum power transfer theorem 69
3.9 The parallel-generator (Millman's) theorem 70
3.10 Rosen's theorem or the general star-mesh
transformation 72
3.11 The star-delta, tee-wye or tee-pi transformation 73
3.12 The delta-star, wye-tee or pi-tee transformation 74
3.13 Summary of star-delta and delta-star transformations 74
Unworked problems 75
4 Energy Storage Elements 79
4.1 Introduction 79
4.2 Capacitors 79
4.3 Energy stored in a capacitor 81
4.4 Capacitors in parallel 82
4.5 Capacitors in series 82
4.6 Potential division in series-connected capacitors 83
4.7 Inductance 84
4.8 Energy stored in an inductor 87
4.9 Inductors in se ries 87
4.10 Inductors in parallel 88
4.11 Duality between inductors and capacitors 90
4.12 Relationship between inductance, reluctance and the
number of turns on a coil 90
Electrical Circuit Analysis and Design is intended for use with the early years of a first degree course in Electrical, Electronic and Control En�gineering, and for Higher National Diploma and Certificate courses in Electrical and Electronic Engineering. The main prerequisite to its use is a knowledge of the basic concepts of electricity, magnetism and mathematics; an introduction to calculus is more in the nature of a corequisite than aprerequisite.
The book has primarily been written for the student, and it is intended that readers should be able to teach themselves the analytical techniques involved. To this end, many fully worked examples are included in the body of the text, and a large number of unworked problems (with solu�tions) are included at the end of chapters. Throughout the book, both
'power' and 'electronic' circuit examples and problems have been included. A 'plus' feature of the book is a chapter on the use of SPICE software (Simulated Program with Integrated Circuit Emphasis) for circuit analysis. Examples in this chapter range from resistive d.c. networks to a.c. solu�tions and transient analysis, and illustrate the practical advantages of this software, which is pre-eminent in the field of circuit analysis. When writing the book, I decided that it should be written from a logical teaching viewpoint. That is, as with a conventional course, the more understandable parts of circuit theory are treated first, after which the less easy but, technically, more interesting topics are covered.
