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Node-Voltage Method

Node-Voltage Method. Identify the nodes There are 3 “essential” nodes. Node 0 is the “ground” or “reference” node where the voltage is equal to zero. Therefore there will be 2, or (n e – 1) node-voltage equations. Node-Voltage Method (continued). Identify the node voltages

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Node-Voltage Method

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  1. Node-Voltage Method • Identify the nodes • There are 3 “essential” nodes. • Node 0 is the “ground” or “reference” node where the voltage is equal to zero. • Therefore there will be 2, or (ne – 1) node-voltage equations. ECE 201 Circuit Theory I

  2. Node-Voltage Method (continued) • Identify the node voltages • The node voltage is the voltage rise from the reference node (0) to a non-reference node (1 or 2). • Label the voltages as v1 and v2. ECE 201 Circuit Theory I

  3. Node-Voltage Method (continued) • Write KCL at each non-reference node • Consider the current to be positive if it is leaving the node. • Accept the given directions of any current sources. ECE 201 Circuit Theory I

  4. Node-Voltage Method (continued) ECE 201 Circuit Theory I

  5. Node-Voltage Method (continued) • Solving for the voltages yields, V1 = 9.09 volts V2 = 10.91 volts With polarities as assigned ECE 201 Circuit Theory I

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