Using the Principle of Superposition, the total current in a circuit is equal to what?

Using the Principle of Superposition, the total current in a circuit is equal to what?

• A. equal to
• B. half of
• C. less than
• D. more than

Answer: (A)

In linear circuits, currents respond proportionally to sources, so you can treat each independent source separately and then add the results. This is the essence of superposition: the total current is the algebraic sum of the currents produced by each independent source acting alone. To apply it, deactivate all independent sources except one (short the voltage sources, open the current sources), find the current in the branch due to that single source, repeat for every independent source, and then add all the currents with their proper directions. Dependent sources stay active during the analysis, and their effects are included in the final sum. Because the contributions can flow in opposite directions, the total current is the sum of those contributions, not fixed as half or more or less than any one part. So the total current equals the sum of the currents from each independent source.

In linear circuits, currents respond proportionally to sources, so you can treat each independent source separately and then add the results. This is the essence of superposition: the total current is the algebraic sum of the currents produced by each independent source acting alone. To apply it, deactivate all independent sources except one (short the voltage sources, open the current sources), find the current in the branch due to that single source, repeat for every independent source, and then add all the currents with their proper directions. Dependent sources stay active during the analysis, and their effects are included in the final sum. Because the contributions can flow in opposite directions, the total current is the sum of those contributions, not fixed as half or more or less than any one part. So the total current equals the sum of the currents from each independent source.