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Learn how loop analysis is used to determine currents and voltages efficiently in circuits, complementary to node analysis. Solve circuits using loop analysis with fewer equations in this comprehensive guide.
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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
This is one circuit. we recap first the node analysis approach and then we solve using loop analysis In the following we shall solve using loop analysis two circuits that had previously been solved using node analysis
LEARNING EXAMPLE FIND THE VOLTAGE Vo AT SUPER NODE CONTROLLING VARIABLE SOLVE EQUATIONS NOW VARIABLE OF INTEREST RECAP OF NODE ANALYSIS
Write loop equations Controlling variable: Variable of Interest START SELECTION USING MESHES SELECT A GENERAL LOOP TO AVOID SHARING A CURRENT SOURCE USING LOOP ANALYSIS DETERMINE Vo
VARIABLE OF INTEREST LEARNING EXAMPLE RECAP OF NODE ANALYSIS Find the current Io 7 eqs in 7 variables
Write loop/mesh equations Select mesh currents Variable of interest: Find the current Io using mesh analysis 8 eqs in 8 unknowns