Definitions

Mesh

Essential Branch

Example 4.4

Step 1: Determine # of mesh currents

be=5ne=3# of equations: be-(ne-1)=5-(3-1)=3

Step 2: Apply KVL around each mesh

Solve 3 EQ and 3 Unknowns Using Mathematica

Get Mathematica Through SSU

Example 4.5

Step 1

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

Step 2

See in the handout.

Use Mathematica to Solve Equations

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

Figure 4.25

A branch includes a current source!

Solve Using Mathematica

Supermesh

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