IntroSuperpositionpp2

# IntroSuperpositionpp2 - ADDITIONAL ANALYSIS TECHNIQUES...

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ADDITIONAL ANALYSIS TECHNIQUES LEARNING GOALS REVIEW LINEARITY The property has two equivalent definitions. We show an 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 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 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 Tu y + = + = AN ALTERNATIVE, AND EQUIVALENT, DEFINITION OF LINEARITY SPLITS THE SUPERPOSITION PRINCIPLE IN TWO.
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