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Node-Voltage Method

# Node-Voltage Method - to be positive if it is leaving the...

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ECE 201 Circuit Theory I 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 (n e – 1) node- voltage equations. Vbattery 10 V R1 1 Ohm R2 5 Ohm R3 2 Ohm R4 10 Ohm I 2 A

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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 v 1 and v 2 . Vbattery 10 V R1 1 Ohm R2 5 Ohm R3 2 Ohm R4 10 Ohm I 2 A GND 1 2 0
ECE 201 Circuit Theory I 3 Node-Voltage Method (continued) Write KCL at each non-reference node Consider the current

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Unformatted text preview: to be positive if it is leaving the node. • Accept the given directions of any current sources. Vbattery 10 V R1 1 Ohm R2 5 Ohm R3 2 Ohm R4 10 Ohm I 2 A GND 1 2 v1 +-v2 +-ECE 201 Circuit Theory I 4 Node-Voltage Method (continued) Vbattery 10 V R1 1 Ohm R2 5 Ohm R3 2 Ohm R4 10 Ohm I 2 A GND 1 2 v1 +-v2 +-1 1 1 2 2 1 2 1 10 1 5 2 2 2 2 10 Node v v v v Node v v v--+ + =-+-= ECE 201 Circuit Theory I 5 Node-Voltage Method (continued) • Solving for the voltages yields, V 1 = 9.09 volts V 2 = 10.91 volts With polarities as assigned Vbattery 10 V R1 1 Ohm R2 5 Ohm R3 2 Ohm R4 10 Ohm I 2 A GND 1 2 v1 +-v2 +-...
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Node-Voltage Method - to be positive if it is leaving the...

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