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Solving Circuit Mesh Currents Using Mathematica: A Step-by-Step Guide

This guide provides a step-by-step approach to determining mesh currents in electrical circuits using Mathematica. In Step 1, you'll learn how to calculate the number of mesh currents and the corresponding equations needed. Step 2 focuses on applying Kirchhoff's Voltage Law (KVL) around each mesh and solving the equations. The provided example illustrates how to handle essential branches and nodes. Use the given Mathematica format to efficiently solve and evaluate your circuit equations, even when dealing with supermeshes and current sources.

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Solving Circuit Mesh Currents Using Mathematica: A Step-by-Step Guide

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  1. Definitions

  2. Mesh

  3. Essential Branch

  4. Example 4.4

  5. Step 1: Determine # of mesh currents be=5 ne=3 # of equations: be-(ne-1)=5-(3-1)=3

  6. Step 2: Apply KVL around each mesh

  7. Solve 3 EQ and 3 Unknowns Using Mathematica

  8. Get Mathematica Through SSU

  9. Example 4.5

  10. Step 1 # of essential branch: 6 # of essential nodes: 4 # of equations: 6-(4-1)=3

  11. Step 2 See in the handout.

  12. Use Mathematica to Solve Equations Format: Solve[{equations separated by a comma},{list of unknowns}] To solve an equation: Evaluation→Evaluate Cells

  13. Figure 4.25 A branch includes a current source!

  14. Solve Using Mathematica

  15. Supermesh Mentally remove the current source from the circuit by avoiding the branch when writing the mesh current equations.

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