{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

BG_4991_Chapter3

# BG_4991_Chapter3 - Chapter 3 Resistive Network Analysis...

This preview shows pages 1–14. Sign up to view the full content.

Grossman/Melkonian Chapter 3 Resistive Network Analysis

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

View Full Document
Grossman/Melkonian COMBINING INDEPENDENT SOURCES: Voltage sources in series add algebraically: + - + - + - R 1 R 2 R 3 10V 2V -6V + - R 1 R 2 R 3 18V Equivalent I I
Grossman/Melkonian COMBINING INDEPENDENT SOURCES: Current sources in parallel add algebraically: 3mA 5mA -4mA 1mA R 1 R 2 5mA R 1 R 2 Equivalent V 1 V 1

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

View Full Document
Grossman/Melkonian NODE VOLTAGE ANALYSIS: Section 3.2 The Node Voltage Method is based on defining the voltage at each node as an independent variable. A reference node is selected and all other node voltages are referenced to this node. The Node Voltage Method defines each branch current in terms of one or more node voltages. This is done by using Ohm’s Law and KCL. Since branch currents are defined in terms of node voltages, currents do not explicitly enter into the equations.
Grossman/Melkonian NODE VOLTAGE ANALYSIS: V A As mention previously, node voltage equations are written from KCL equations. V C V B V Ref + R 1 - + R 3 - R 2 + - i 3 i 1 i 2 KCL at Node B: i 1 - i 2 - i 3 = 0 Applying Ohm’s Law: V A - V B R 1 V B - V C R 3 V B - V Ref R 2 - - i 1 i 2 i 3

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

View Full Document
Grossman/Melkonian NODE VOLTAGE ANALYSIS: 1. Select and label a reference node. All other nodes are referenced to this node. 2. Label all N-1 remaining node(s). 3 Apply KCL to each node (N-1 node(s)). Writing equations in terms of node voltages. 4. Solve N-1 equations for V’s. 5. Calculate I’s using V, I, and R relationships. Node Voltage Procedure:
Grossman/Melkonian NODE VOLTAGE ANALYSIS – CURRENT SOURCES: Example 1: Use Node Voltage Analysis to determine V 4 , V 6 , i 1 , and i 2 . 2A 3A 4 6 i 1 i 2 + - - +

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

View Full Document
Grossman/Melkonian 2A 3A 4 6 i 1 i 2 V Ref NODE VOLTAGE ANALYSIS – CURRENT SOURCES: Example 1 cont.: 1. Identify and label a reference node. All other nodes will be referenced to this node. 2. Label all N-1 remaining node(s). V A - - + +
Grossman/Melkonian Example 1 cont.: NODE VOLTAGE ANALYSIS – CURRENT SOURCES: 3. Apply KCL to each N-1 node. Writing equation in terms of node voltage. 2A 3A 4 6 i 1 i 2 V Ref V A -2A + V A - 0 4 V A - 0 6 + + 3A = 0 - - + +

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

View Full Document
Grossman/Melkonian NODE VOLTAGE ANALYSIS – CURRENT SOURCES: Example 1 cont.: 2A 3A 4 6 i 1 i 2 V Ref V A 4. Solve equation for V A . V A = -2.4V - - + +
Grossman/Melkonian NODE VOLTAGE ANALYSIS – CURRENT SOURCES: 2A 3A 4 6 i 1 i 2 V Ref V A 5. Solve for i 1 and i 2 . Example 1 cont.: Using Ohm’s Law and the calculated value for V A : i 1 = V A / 4 = -2.4V / 4 i 1 = -0.6A i 2 = V A / 6 = -2.4V / 6 i 2 = -0.4A - - + +

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

View Full Document
Grossman/Melkonian 2A 3A 4 6 i 1 i 2 V Ref V A Referring to the circuit in example 1, calculate V A by transforming the circuit to an equivalent circuit with one current source and one resistor: Original Circuit Combining Independent Sources: - - + + NODE VOLTAGE ANALYSIS – CURRENT SOURCES:
Grossman/Melkonian Since the current sources are in parallel, they can be combined into a single equivalent current source: 1A 2.4 i T V A - + V A = i T 2.4 = -1A 2.4 V A = -2.4V Note: i T is equal to the sum of i 1 and i 2 of original circuit.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 87

BG_4991_Chapter3 - Chapter 3 Resistive Network Analysis...

This preview shows document pages 1 - 14. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online