IntroSuperposition7Ed - ADDITIONALANALYSISTECHNIQUES...

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ADDITIONAL ANALYSIS TECHNIQUES LEARNING GOALS REVIEW LINEARITY The property has two equivalent definitions.  We show and application of homogeneity APPLY SUPERPOSITION We discuss some implications of the superposition property in linear circuits DEVELOP THEVENIN’S AND NORTON’S THEOREMS These are two very powerful analysis tools that allow us to focus on parts of a circuit and hide away unnecessary complexities  MAXIMUM POWER TRANSFER This is a very useful application of Thevenin’s and Norton’s theorems
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The   techniques developed in chapter 2; i.e., combination series/parallel,  voltage divider and current divider are special techniques that are more  efficient than the general methods, but have a limited applicability.  It is to our advantage to keep them in our repertoire and use them when  they are more efficient. In this section we develop additional techniques that simplify the analysis of some circuits.  In fact these techniques expand on concepts that we have  already introduced: linearity and circuit equivalence THE METHODS OF NODE AND LOOP ANALYSIS PROVIDE POWERFUL TOOLS TO DETERMINE THE BEHAVIOR OF EVERY COMPONENT IN A CIRCUIT
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SOME EQUIVALENT CIRCUITS ALREADY USED
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LINEARITY THE MODELS USED ARE ALL LINEAR. MATHEMATICALLY THIS IMPLIES THAT THEY SATISFY THE PRINCIPLE OF SUPERPOSITION 2 1 2 1 2 2 1 1 2 2 1 1 , , ) ( α   scalars   possible   all   and   pairs input     possible   all for  IFF   LINEAR   IS MODEL    THE u u Tu Tu u u T
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This note was uploaded on 03/01/2012 for the course EEL 3041 taught by Professor Haroldklee during the Spring '12 term at University of Central Florida.

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IntroSuperposition7Ed - ADDITIONALANALYSISTECHNIQUES...

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