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Unit 2.4 Node vs. Mesh - Solving Problems Since the first...

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1 Unit 2: Node and Mesh Circuit Analysis Unit 2.4 - Node Voltage Analysis vs. Mesh Current Analysis Solving Problems f Since the first exam, we have introduced two systematic techniques: Node Voltage Analysis allows you to assign voltage values to each essential node once a reference node is defined. Mesh Current Analysis allows you to assign current values to all mesh currents in the circuit. f Now that we have these two tools which one should I use? Issue #1: What circuit am I analyzing? f In terms of the number of equations you need to write out and solve, either node voltage analysis or mesh current analysis could be simpler to apply. f How should I evaluate this? You should spend about 60-90 seconds on each circuit and ask the following (called the Quick Inspection ): • If I use node voltage analysis how many equations do I have to solve? • If I use mesh current analysis, how many equations do I have to solve? Example Circuit #1 f If I use node voltage analysis, how many equations do I have to solve? f I am left with 3 nodes for which I need to write a KCL equations. This means I have 3 equations and 3 unknowns 5 A 6 Ω 13 Ω 3 Ω 20 Ω 7 Ω 4 Ω 12 A i y i x Example Circuit #1 Con’t f If I use mesh current analysis, how many equations do I have to solve? f I am left with 4 meshes for which I need to write a KVL equations This means I have 4 equations and 4 unknowns 5 A 6 Ω 13 Ω 3 Ω 20 Ω 7 Ω 4 Ω 12 A i y i x Example Circuit #2 f Which method would you use for this circuit?
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