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Superposition Theorem Superposition theorem is one of those strokes of genius that takes a comp lex subject and simplifies it in a way that makes perfect sense. A theorem like Millman's certainly works well, but it is not quite obvious why it works so well. Superposition, on the other hand, is obvious. The strategy used in the Superposition Theorem is to eliminate all but one source of power within a network at a time, using series/parallel analysis to determine voltage drops (and/or currents) within the modified network for each power source separately. Then, once voltage drops and/or currents have been determined for each power source working separately , the values ar e all “superimpos ed” on top of each other (added algeb raically) to find the actual voltage drops/c urrents with all sources act ive. Let's look at our example circui t again and apply Superposition Theorem to it: Since we have two sources of power in this circuit, we will have to calculate two sets of values for voltage drops and/or currents, one for the circuit with only the 28 volt battery in effect. . . . . . and one for the circuit with only the 7 volt battery in effect: When re-drawing the circuit for series/parallel analysis with one source, all other voltage sources are replaced by wires (shorts), and all current sources with open circuits (breaks). Since we only have voltage sources (batteries) in our example circuit, we will replace every inactive source during analysis with a wire. Analyzi ng the circuit with only the 28 vol t battery , we obta in the following values for voltage and current: Superposition Theorem : DC NETWORK ANALYSIS http://www.allaboutcircuits.com/vol_1/chpt_10/7.html 1 of 4 12/ 22/2011 9:10 PM

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