ECE 1270 Introduction to Electric Circuits 0 Lecture

Node, Branch, Loop, Mesh Node (current sum) 1 Mesh (voltage sum) Branch Node: A

Nodes: More Examples 2 Remember that node is not a just a dot; it

Nodes in an Actual Circuit 3 Can you identify nodes in the above circuit?

Node Voltage Method 4 Find unknown voltages by summing the currents leaving each node

Node Voltage Method 5 Step 3: Write Current Leaving Each Branch Passive Sign Convention

AP 4. 1 a: Find v 1, v 2, i 1 6 Simultaneous Equations:

AP 4. 2: Find v 7 + v Simultaneous Equations: Passive Sign Convention Solution

P 4. 13 8 Simultaneous Equations: Passive Sign Convention Solution System of Linear Equations:

Lab 4 Circuit 9 Lab 4: Find Vx using Node Voltage Method ECE 1270

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ECE 1270: Introduction to Electric Circuits 0 Lecture 5: Node Analysis Chapter 4 Techniques of Circuit Analysis: Sections 4. 1, 4. 2 ECE 1270 Introduction to Electric Circuits Suketu Naik

Node, Branch, Loop, Mesh Node (current sum) 1 Mesh (voltage sum) Branch Node: A point where two or more circuit elements join Mesh: A loop that does not enclose any other loops Branch: A circuit path that contains two nodes Loop: A path with many meshes. Example: V 1 -R 5 -R 6 -R 4 -V 2 ECE 1270 Introduction to Electric Circuits Suketu Naik

Nodes: More Examples 2 Remember that node is not a just a dot; it represents common connection between different circuit elements ECE 1270 Introduction to Electric Circuits Suketu Naik

Nodes in an Actual Circuit 3 Can you identify nodes in the above circuit? ECE 1270 Introduction to Electric Circuits Suketu Naik

Node Voltage Method 4 Find unknown voltages by summing the currents leaving each node Example 4. 2 Step 1: Label Nodes Step 2: Define Node Voltages ECE 1270 Introduction to Electric Circuits Suketu Naik

Node Voltage Method 5 Step 3: Write Current Leaving Each Branch Passive Sign Convention Step 4: Solve Simultaneous Equations in Standard Form ECE 1270 Introduction to Electric Circuits Suketu Naik

AP 4. 1 a: Find v 1, v 2, i 1 6 Simultaneous Equations: Passive Sign Convention Solution v 1= v 2= i 1= System of Linear Equations: learn how to solve it using your calculator ECE 1270 Introduction to Electric Circuits Suketu Naik

AP 4. 2: Find v 7 + v Simultaneous Equations: Passive Sign Convention Solution v= System of Linear Equations: learn how to solve it using your calculator ECE 1270 Introduction to Electric Circuits Suketu Naik

P 4. 13 8 Simultaneous Equations: Passive Sign Convention Solution System of Linear Equations: learn how to solve it using your calculator ECE 1270 Introduction to Electric Circuits Suketu Naik

Lab 4 Circuit 9 Lab 4: Find Vx using Node Voltage Method ECE 1270 Introduction to Electric Circuits Suketu Naik