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# Chapter 5 - G Rizzoni Principles and Applications of...

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G. Rizzoni, Principles and Applications of Electrical Engineering Problem solutions, Chapter 5 5.1 Chapter 5 Instructor Notes Chapter 5 has been reorganized in response to a number of suggestions forwarded by users of the third edition of this book. The material is now divided into three background sections (overview of transient analysis, writing differential equations, and DC steady-state solution) and two major sections: first and second order transients. A few examples have been added, and all previous examples have been re- organized to follow the methodology outlined in the text. In the section on first order transients, a Focus on Methodology: First Order Transient Response (p. 215) clearly outlines the methodology that is followed in the analysis of first order circuits; this methodology is then motivated and explained, and is applied to eight examples, including four examples focusing on engineering applications (5.8 - Charging a camera flash; 5.9 and 5.11 dc motor transients; and 5.12, transient response of supercapacitor bank). The analogy between electrical and thermal systems that was introduced in Chapter 3 is now extended to energy storage elements and transient response ( Make The Connection: Thermal Capacitanc e , p. 204; Make The Connection: Thermal System Dynamics , p. 205; Make The Connection: First-Order Thermal System , p. 218-219;); similarly, the analogy between hydraulic and electrical circuits, begun in Chapter 2 and continued in Chapter 4, is continued here ( Make The Connection: Hydraulic Tank , pp. 214-215). The box Focus on Measurements: Coaxial Cable Pulse Response (pp. 230-232) illustrates an important transient analysis computation (this problem was suggested many years ago by a Nuclear Engineering colleague). The section on second order transients summarizes the analysis of second order circuits in the boxes Focus on Methodology: Roots of Second-Order System (p. 240) and Focus on Methodology: Second Order Transient Response (pp. 244-245). These boxes clearly outline the methodology that is followed in the analysis of second order circuits; the motivation and explanations in this section are accompanied by five very detailed examples in which the methodology is applied step by step. The last of these examples takes a look at an automotive ignition circuit (with many thanks to my friend John Auzins, formerly of Delco Electronics, for suggesting a simple but realistic circuit). The analogy between electrical and mechanical systems is explored in Make The Connection: Automotive Suspension, pp. 239-240 and pp. 245-246. The homework problems are divided into four sections, and contain a variety of problems ranging from very basic to the fairly advanced. The focus is on mastering the solution methods illustrated in the chapter text and examples. Learning Objectives 1. Write differential equations for circuits containing inductors and capacitors.

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