As branches are added to a parallel circuit the resistance decreases.

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Prepare for the MSSC Maintenance Awareness Test. Study with flashcards and multiple choice questions. Get ready for your exam with hints and detailed explanations!

Multiple Choice

As branches are added to a parallel circuit the resistance decreases.

Explanation:
In parallel circuits, adding more branches provides additional paths for current to flow. For a fixed supply voltage, more paths mean more total current, and since V = IR, increasing current with the same voltage must come from a smaller overall resistance. This is captured by 1/R_eq = sum(1/R_i): each new branch adds another conductance term, pulling the equivalent resistance down. If the branches are identical, R_eq becomes R/n, so adding branches continuously lowers the total resistance. For example, three 10-ohm branches give about 3.3 ohms instead of 10 ohms. The takeaway is that parallel addition reduces resistance.

In parallel circuits, adding more branches provides additional paths for current to flow. For a fixed supply voltage, more paths mean more total current, and since V = IR, increasing current with the same voltage must come from a smaller overall resistance. This is captured by 1/R_eq = sum(1/R_i): each new branch adds another conductance term, pulling the equivalent resistance down. If the branches are identical, R_eq becomes R/n, so adding branches continuously lowers the total resistance. For example, three 10-ohm branches give about 3.3 ohms instead of 10 ohms. The takeaway is that parallel addition reduces resistance.

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