Chapter 6 - G. Rizzoni, Principles and Applications of...

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G. Rizzoni, Principles and Applications of Electrical Engineering Problem solutions, Chapter 6 6 . 1 Chapter 6 Instructor Notes Chapter 6 has also seen substantive revisions with respect to the Third Edition. A section on Fourier analysis has been added (Section 6.2), and the material on Bode plots has been expanded (Section 6.4). The material on Laplace transforms has been moved to the Appendix B. These changes were prompted by comments and suggestions made by numerous users. Chapter 6 can be covered immediately following Chapter 4, or after completing Chapter 5. There is no direct dependence of Chapter 6 on Chapter 5. After the first section briefly introduces the notion of sinusoidal frequency response and motivates the use of sinusoidal signals, the Fourier Series method of representing signals is described in detail in Section 6.2. Further, the text and examples also illustrate the effect of a multi-components signal propagating through a linear system. Four examples accompany this presentation. Instructors who use this material will find some computing tools available on the website that will assist the students in developing an intuitive understanding of Fourier series. Section 6.3 introduces filters, and outlines the basic characteristics of low-, high- and band-pass filters. The concept of resonance is treated in greater depth than in the previous edition, and a connection is made with the natural response of second order circuits, which may be useful to those instructors who have already covered transient response of second-order circuits. Four detailed examples are included in this section, Further, the boxes Focus on Measurements: Wheatstone bridge filter (pp. 310-303), Focus on Measurements: AC line interference filter (pp. 303-305), and Focus on Measurements: Seismic displacement transducer (pp. 305-308) touch on additional application examples. The first and last of these boxes can be linked to related material in Chapters2, 3, and 4. The instructor who has already introduced the operational amplifier as a circuit element will find that section 8.3, on active filters, is an excellent vehicle to reinforce both the op-amp concept and the frequency response ideas. Another alternative (employed by this author) consists of introducing the op- amp at this stage, covering sections 8.1 through 8.3. Finally, Section 6.4 expands the previous coverage of Bode plots, and illustrates how to create approximate Bode plots using the straight-line asymptotic approximation. The box Focus on Methodology: Bode Plots clearly outlines the method, which is further explained in two examples. The homework problems present several frequency response, Fourier Series, filter and Bode plot exercises of varying difficulty. The instructor who wishes to use one of the many available software aids (e.g., MATLAB® or Electronics Workbench® ) to analyze the frequency response of more complex circuits and to exploit more advanced graphics capabilities, will find that several advanced problems lend themselves nicely to such usage. More advanced problems could be used as a vehicle to introduce modern
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This note was uploaded on 01/28/2009 for the course GENENG 2930 taught by Professor Almquist during the Spring '08 term at Wisc Platteville.

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Chapter 6 - G. Rizzoni, Principles and Applications of...

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