Circuit AnalysisHorwood Publishing Limited, 1997 M12 30 - 200 pages This text presents the fundamentals of circuit analysis in a way suitable for first and second year undergraduate courses in electronic or electrical engineering. It is very much a 'theme text' and not a work book. The author is at pains to follow the logical thread of the subject, showing that the development of topics, one from the other, is not ad hoc as it can sometimes appear. A case in point is the application of graph theory to justify the derivation of the Node- and Mesh-equations from the more extensive set of Kirchhoff current and voltage equations. The topology of networks is stressed, again with the aid of graph theory. The Fourier series is discussed at an early stage in regard to time-varying voltages to pave the way for sinusoidal analysis, and then dealt with in a later chapter. The complex frequency is presented at the earliest opportunity with 'steady a.c.' subsequently seen as a special case. The use of Laplace transformation appears as an operational method for the solution of differential equations which govern the behaviour of all physical systems. However, more emphasis is laid on the use of impedances as a means of bypassing the need to solve, or indeed even having to write down, differential equations. The author discusses the role of network duals in circuit analysis, and clarifies the duality of Thevenin's and Norton's equations, and also exploits time/frequency duality of the Fourier transform in his treatment of the convolution of functions in time and frequency. Worked examples are given throughout the book, together with chapter problems for which the author has provided solutions and guidance.
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a.c. source admittance algebraic amplitude application Argand diagram capacitor Chapter coefficients complex exponential complex number components convolution cosine current and voltage current phasor current source current-voltage decibels delta sequence denominator described dual Example expression filter first-order Fourier series Fourier transform free response frequency domain frequency response given H(jo H(jw ideal source imaginary impedance impulse response inductor initial stored energy input integral inverse transform KCL equations Kirchhoff's Kirchhoff's voltage law Laplace transform LC circuit linear low-pass method modulus node obtained open-circuit output particular phase phasor potential divider produce ratio resistor result s-plane second-order seen shown in Figure signal simple sine sinusoidal solution source transformation steady a.c. system differential equation system function theorem Thevenin trigonometric unit impulse vector voltage phasors voltage source voltages and currents Wheatstone bridge zero initial stored π π