How many loops are there in this circuit? Express your answer as an integer.

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BlackTom AI · Accepted Answer

Begin by visualizing the circuit as a closed conducting path that starts at the battery, proceeds through a sequence of resistors, and returns to the battery.
The diagram shows the following elements connected end-to-end in a single uninterrupted path: the battery, a wire segment along the top, resistor R1, resistor R2, and resistor R3, and then a return path along the left side back to the battery.
Since all the components are arranged in one continuous loop with no branching paths that form separate closed circuits, there is only one distinct loop (mesh) in this diagram.
If you imagine cutting the circuit at any point and tracing the closed path back, you would complete exactly one circuit around that single loop. In other words, there are no parallel branches or secondary loops.
Common misconceptions might involve counting each component as a loop or misidentifying branches, but in this configuration there are no extra branches creating additional independent loops; the circuit remains a single closed path.
Thus, the circuit comprises a single loop. The lack of multiple parallel paths or sub-meshes confirms there is only one independent loop in this setup.

How many loops are there in this circuit? Express your answer as an integer.

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How many loops are there in this circuit? Express your answer as an integer.

View Explanation

Log in for full answers

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