Node-Voltage Method

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

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 2
ECE 201 Circuit Theory I 3 Node-Voltage Method (continued) Write KCL at each non-reference node Consider the current
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5
This is the end of the preview. Sign up to access the rest of the document.

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 +-...
View Full Document

This note was uploaded on 04/23/2008 for the course ECE 201 taught by Professor Helgeland during the Spring '08 term at UMass Dartmouth.

Page1 / 5

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

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online