LCT7-LoopAnalysis.pdf

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Microsoft PowerPoint - LCT7-LoopAnalysis.ppt
Circiut theory
Loop analysis
229487930.014.png
Loop Analysis
¡ Loop Analysis is The 2nd Systematic
Technique To Determine All Currents
And Voltages In A Circuit
¢ IT Is the DUAL To Node Analysis
¡ It First Determines All Currents In A Circuit And
Then It Uses Ohm’s Law To Compute Voltages
¢ There Are Situations Where Node Analysis
Is Not An Efficient Technique And Where
The Number Of Equations Required By
Loop Analysis Is Significantly Smaller
229487930.015.png 229487930.016.png 229487930.017.png
Loop Analysis Illustration
V
+
V
−
V
+
V
2
−
V
¡
Need 3 Eqns to Find All
Node Potentials; 2 ® 4
+
-
R
I
R
+
-
18
Notice There is Only
ONE Current Flowing
Thru All Components
¢ A Single Loop Ckt
¢ Can Use Ohm’s Law to
Determine Voltages
R
¡
12
V
V
+
V
−
GND
¡ Apply Node Analysis
¡ Observe
¢ Have 4 Non-Ref Nodes
¡
Apply KVL for Clockwise
Loop Starting at GND
¢ One SuperNode
¢ One Node Connected to
GND Thru a V-src
−
12
[
V
]
+
V
R
1
+
V
R
2
+
18
[
V
]
−
V
R
3
=
0
V
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Loop Analysis Illustration cont
V
+
V
−
V
+
V
2
−
V
¡
Note:
¢ Recalling that V=IR Allows
Writing the Ohm Eqn “by
Inspection” for A Single
Loop Ckt
+
-
R
KVL
R
+
-
18
V
R
I
12
V
V
+
V
−
GND
The Loop Generates a
SINGLE Eqn to Yield the
Loop CURRENT
¡ Now Use Ohm’s Law to
Express V’s In Terms of
the Loop Current
¡
¡ By KVL
−
12
[
V
]
+
R
1
I
+
R
2
I
+
18
[
V
]
+
R
I
=
0
3
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Loops, Meshes, Loop-
Currents
2
b
3
c
¡
A Loop Is A Closed
Path That Does Not
Go Twice Over Any
Node
a
I
I
1
2
1
7
4
I
3
e
f
6
5
d
A BASIC CIRCUIT
This Circuit Has 3
Loops
¡
¡ Each Component Is
Characterized By The
1. fabef
2. ebcde
¢
VOLTAGE ACROSS It
3. fabcdef
CURRENT THRU It
¢
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