EE101_Lecture04 - voltages. If the reference node is chosen...

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Lecture 4 Node/Loop Analysis
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Although they are very important concepts, series/parallel equivalents and the current/voltage division principles are not sufficient to solve all circuits.
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Node Voltage Analysis
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Node Voltage Analysis
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Example 2.6
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Exercise 2.6
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Exercise 2.8
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Exercise 2.8
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Exercise 2.9
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Exercise 2.9
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Supernodes
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Circuits with Voltage Sources We obtain dependent equations if we use all of the nodes in a network to write KCL equations.
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Use KVL for a second independent equation:
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Exercise 2.11
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KVL: KCL for supernode at 10V source: KCL for node 3: KCL for reference node:
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Node-Voltage Analysis with a Dependent Source First, we write KCL equations at each node, including the current of the controlled source just as if it were an ordinary current source.
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Example 2.9
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Next, we find an expression for the controlling variable i x in terms of the node voltages. Example 2.9
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Substitution yields: Example 2.9
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Node-Voltage Analysis 1. Select a reference node and assign variables for the unknown node
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