1. LOOP ANALYSIS
The second systematic technique to determine all currents and voltages in a circuit
IT IS DUAL TO NODE ANALYSIS - IT FIRST DETERMINES ALL CURRENTS IN A CIRCUIT
AND THEN IT USES OHM’S LAW TO COMPUTE NECESSARY VOLTAGES
THERE ARE SITUATION WHERE NODE ANALYSIS IS NOT AN EFFICIENT TECHNIQUE
AND WHERE THE NUMBER OF EQUATIONS REQUIRED BY THIS NEW METHOD IS
SIGNIFICANTLY SMALLER

2. In the following we shall solve using loop
analysis two circuits that had previously been
solved using node analysis
This is one circuit.
we recap first the node analysis
approach and then we solve using
loop analysis

3. LEARNING EXAMPLE RECAP OF NODE ANALYSIS FIND THE VOLTAGE Vo
AT SUPER NODE
SOLVE EQUATIONS NOW
CONTROLLING VARIABLE
VARIABLE OF INTEREST

4. USING LOOP ANALYSIS
DETERMINE Vo
Write loop equations
Controlling variable:
SELECT A GENERAL LOOP TO AVOID
SHARING A CURRENT SOURCE
START SELECTION USING MESHES
Variable of Interest

5. LEARNING EXAMPLE RECAP OF NODE ANALYSIS Find the current Io
7 eqs in 7 variables
VARIABLE OF INTEREST

6. Write loop/mesh equations
Find the current Io using mesh analysis
Write loop/mesh equations
Select mesh currents
8 eqs in 8 unknowns
Variable of interest: