EE 302 - Lecutre Slides - Unit_3[1][1].2___Mesh_Current_Analysis

EE 302 - Lecutre Slides - Unit_3[1][1].2___Mesh_Current_Analysis

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1 Unit 3: Node and Mesh Circuit Analysis Unit 3.2 - Mesh Current Analysis

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2 Learning Objectives Review on definitions of branches, nodes, meshes and loops What are planar and non-planar circuits? What is the mesh current analysis ? How do you write the mesh current equations ?
3 Definition Review Branch : a path that connects two nodes. Essential branch : a branch that connects two essential nodes. Loop : any closed connection of branches. Mesh : a loop that does not contain other loops.

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4 Example 1 A R3 R1 R2 2 V + - R4 Mesh 1 Mesh 2 Mesh 3 Outer Loop is not a Mesh Why?
5 Mesh Current Analysis How many essential nodes (n e )? 4 How many essential branches (b e )? 6 Number of mesh currents? -3 In general, number of mesh currents = b e - (n e -1) In our case, number mesh currents = 6 - (4 - 1) = 3

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6 Mesh Current Method Mesh current method provides another systematic tool to solve circuit problems. Only applicable to planar circuits . Use mesh currents as the independent variables and write KVL equations around each mesh.
7 What is a planar circuit? One that can be drawn on a plane.

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8 Mesh Current Method Because of the passive sign convention, the direction of the mesh current flow automatically defines the polarity of the branch voltages . Mesh currents are not necessarily the same as branch currents . Mesh currents automatically satisfy KCL since a given mesh current both enters and leaves a node.
9 Mesh Current Analysis Methodology 1. Identify all of the meshes in the circuit. 2. Define the current

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EE 302 - Lecutre Slides - Unit_3[1][1].2___Mesh_Current_Analysis

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