1. EE 1270 Introduction to Electric Circuits Suketu Naik 0 EE 1270: Introduction to Electric Circuits Lecture 5: Node Analysis Chapter 4 Techniques of Circuit Analysis: Sections 4.1,4.2

2. EE 1270 Introduction to Electric Circuits Suketu Naik 1 Node, Branch, Loop, Mesh Node (current sum) 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 starting node=last node; can contain many meshes

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

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

5. EE 1270 Introduction to Electric Circuits Suketu Naik 4 Node Voltage Method Find unknown voltages by summing the currents leaving each node Step2: Define Node Voltages Step1: Label Nodes Example 4.2

6. EE 1270 Introduction to Electric Circuits Suketu Naik 5 Node Voltage Method Step3: Write Current Leaving Each Branch Step4: Solve Simultaneous Equations in Standard Form Passive Sign Convention

7. EE 1270 Introduction to Electric Circuits Suketu Naik 6 AP4.1a: Find v 1, v 2, i 1 Simultaneous Equations: Passive Sign Convention Solution v 1 = v 2 = i 1 =

8. EE 1270 Introduction to Electric Circuits Suketu Naik 7 AP4.2: Find v Simultaneous Equations: Passive Sign Convention Solution v= +v-+v-

9. EE 1270 Introduction to Electric Circuits Suketu Naik 8 More Examples Simultaneous Equations: