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Linear Circuits
BONNIE FERRI, PROFESSOR AND ASSOCIATE CHAIR
School of Electrical and Computer Engineering
Module 3
Lesson 3: Mesh Analysis
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Mesh Analysis
Objective:
• Introduce Mesh Analysis to solve circuit
problems
+
R3
R2
R6
R1
V0
‐
R5
V1
R4
IS
Builds Upon:
• Systema c applica on of KVL: ∑Vloop= 0
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Mesh Analysis
1.
2.
3.
Define mesh currents, one for each non‐
inclusive loop
Do KVL around each loop
Solve for mesh currents
is
I2
v1
+
‐
R1
I1
R3
I3
R2
+
‐
Ro
+
vo
-
v2
is
I2
v1
+
‐
R1
I1
R3
R2
I3
+
‐
Ro
+
vo
-
v2
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Mesh Analysis Example
10
4
5V
15v
Mesh Analysis Quiz
R2
R3
R1
V1
R4
R5
How many unknown mesh currents do
you need to find when using Mesh
I2 Analysis for this circuit?
I1
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Mesh Analysis Quiz
R1
I1
i1
3v
2i1
Which set of equations results from
Mesh Analysis of this circuit?
R2
I2
R4
Key Concepts
• Mesh analysis is a systematic application of KVL
• Number of unknown mesh currents = number
of equations needed
• Variables are mesh currents
• Avoid common mistakes:
• Polarity and current direction
• KVL for a loop with a current source
• Variables other than mesh currents
4