Transcript Lecture 1

Lecture 9
•Review:
•Mesh analysis
•Constrained loops
•Additional mesh analysis examples
•Related educational modules:
–Sections 1.6.2
Review: Mesh Analysis
1. Choose mesh loops and identify mesh currents
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Kill sources
Identify enclosed, non-overlapping areas in circuit
Circuit elements bounding these areas form mesh loops
Mesh currents flow around the mesh loops
2. Replace sources, identify constrained loops
3. Apply KVL around mesh loops
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Use Ohm’s Law to write KVL in terms of mesh currents
4. Solve equations to determine the mesh currents
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Use mesh current to determine desired parameters
Constrained Loops
• Constrained loops go through current sources
• They identify known currents in the circuit
• Constrained loops are somewhat arbitrary, but:
• Each current source creates a constrained loop
• The direction and magnitude of the constrained loop
must be consistent with the source through which it
passes
Mesh Analysis – Example 1
• Use mesh analysis to determine the current i4
Example 1 – continued
Example 1 – alternate constraint loops
Example 1 – more alternate constraint loops
Mesh analysis – example 2
• Determine i10, the current through the 10 resistor
Example 2 – alternate approach
Mesh analysis – example 3
• Use mesh analysis to determine the current i
Example 3 – continued
Mesh analysis – example 4
• Use mesh analysis to determine the current i10
Example 4 – continued