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11







                                                                   Electrical Engineering






                                                              11.1  Introduction
                                                              11.2  Fundamentals of Electric Circuits
                                                                    Electric Power and Sign Convention • Circuit Elements and
                                                                    Their i-v Characteristics • Resistance and Ohm’s Law
                                                                    • Practical Voltage and Current Sources • Measuring Devices
                                                              11.3  Resistive Network Analysis
                                                                    The Node Voltage Method • The Mesh Current Method
                                                                    • One-Port Networks and Equivalent Circuits • Nonlinear
                                                                    Circuit Elements
                                                              11.4  AC Network Analysis
                                                                    Energy-Storage (Dynamic) Circuit Elements • Time-
                                 Giorgio Rizzoni                    Dependent Signal Sources • Solution of Circuits Containing
                                 Ohio State University              Dynamic Elements • Phasors and Impedance

                                 11.1  Introduction

                                 The role played by electrical and electronic engineering in mechanical systems has dramatically increased
                                 in importance in the past two decades, thanks to advances in integrated circuit electronics and in materials
                                 that have permitted the integration of  sensing,  computing,  and actuation  technology into industrial
                                 systems and consumer products. Examples of this integration revolution, which has been referred to as
                                 a new field called Mechatronics, can be found in consumer electronics (auto-focus cameras, printers,
                                 microprocessor-controlled appliances), in industrial automation, and in transportation systems, most
                                 notably in passenger vehicles. The aim of this chapter is to review and summarize the foundations of
                                 electrical engineering for the purpose of providing the practicing mechanical engineer a quick and useful
                                 reference to the different fields of electrical engineering. Special emphasis has been placed on those topics
                                 that are likely to be relevant to product design.

                                 11.2  Fundamentals of Electric Circuits

                                 This section presents the fundamental laws of circuit analysis and serves as the foundation for the study
                                 of electrical circuits. The fundamental concepts developed in these first pages will be called on through
                                 the chapter.
                                   The fundamental electric quantity is charge, and the smallest amount of charge that exists is the charge
                                 carried by an electron, equal to

                                                                       ×
                                                             q e =  – 1.602  10  – 19  coulomb             (11.1)
                                   As you can see, the amount of charge associated with an electron is rather small. This, of course, has
                                 to do with the size of the unit we use to measure charge, the coulomb (C), named after Charles Coulomb.
                                 However, the definition of the coulomb leads to an appropriate unit when we define electric current,




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