Series vs. parallel — current paths: Do parallel circuits provide only one path for current flow, or do they provide multiple independent paths between two common nodes? Select the correct characterization.

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
Correctly distinguishing series from parallel connections is foundational in circuit theory and in quick diagnostics. Confusing these can lead to wrong equivalent resistance, wrong current predictions, and poor design choices.


Given Data / Assumptions:

  • Parallel circuit definition: elements share the same two nodes.
  • Series circuit definition: elements share a single path sequentially.
  • Ideal components and wiring assumed for the concept check.


Concept / Approach:
Parallel circuits furnish multiple paths for current between the same node pair, while series circuits provide only one path. Therefore, saying that parallel circuits have only one current path is a misstatement of the definitions and contradicts how current divides among branches in parallel networks.


Step-by-Step Solution:

1) Recall definitions of series (single path) and parallel (shared nodes) connections. 2) In parallel, each branch is an alternative path for current from node A to node B. 3) Current divides according to branch impedances; hence multiple paths exist. 4) Conclude the original statement is incorrect for parallel networks.


Verification / Alternative check:
Measure currents in two-branch parallel networks: both branches carry current simultaneously; summing branch currents yields the source current, confirming multiple paths in practice.


Why Other Options Are Wrong:

  • Correct: Not correct; it describes series, not parallel.
  • True only for two branches: Even two branches are multiple paths.
  • True when all resistors are equal: Equality does not change path count.
  • True for superconducting wires only: Superconductivity does not change topology.


Common Pitfalls:
Memorizing examples rather than definitions; mixing up current division (parallel) with voltage division (series).


Final Answer:
Incorrect

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