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 LOOP ANALYSIS

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

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

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

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

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