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Electric Circuits, 9th Edition P50. Designed for use in a one or two-semester Introductory Circuit Analysis or Circuit Theory Course taught in Electrical or Computer Engineering Departments. Electric Circuits 9/e is the most widely used introductory circuits textbook of the past 25 years. As this book has evolved over the years to meet the changing learning styles of students, importantly, the underlying teaching approaches and philosophies remain unchanged. | CHAPTER CONTENTS 13.1 Circuit Elements in the s Domain p. 468 13.2 Circuit Analysis in the s Domain p. 470 13.3 Applications p. 472 13.4 The Transfer Function p. 484 13.5 The Transfer Function in Partial Fraction Expansions p. 486 13.6 The Transfer Function and the Convolution Integral p. 489 13.7 The Transfer Function and the Steady-State Sinusoidal Response p. 495 13.8 The Impulse Function in Circuit Analysis p. 498 BJECTIVES 1 Be able to transform a circuit into the s domain using Laplace transforms be sure you understand how to represent the initial conditions on energy-storage elements in the s domain. 2 Know how to analyze a circuit in the s-domain and be able to transform an s-domain solution back to the time domain. 3 Understand the definition and significance of the transfer function and be able to calculate the transfer function for a circuit using s-domain techniques. 4 Know how to use a circuit s transfer function to calculate the circuit s unit impulse response its unit step response and its steady-state response to a sinusoidal input. The Laplace Transform in Circuit Analysis The Laplace transform has two characteristics that make it an attractive tool in circuit analysis. First it transforms a set of linear constant-coefficient differential equations into a set of linear polynomial equations which are easier to manipulate. Second it automatically introduces into the polynomial equations the initial values of the current and voltage variables. Thus initial conditions are an inherent part of the transform process. This contrasts with the classical approach to the solution of differential equations in which initial conditions are considered when the unknown coefficients are evaluated. We begin this chapter by showing how we can skip the step of writing time-domain integrodifferential equations and transforming them into the domain. In Section 13.1 we ll develop the .s-domain circuit models for resistors inductors and capacitors so that we can write .
