Parallel circuits — voltage distribution: In an ideal parallel network fed by a single source, the voltage across each branch is the same as the source voltage. Decide whether this statement is correct.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
One of the defining properties of parallel circuits is the equality of voltage across all branches that are directly connected to the same pair of nodes. This rule allows engineers to compute branch currents independently via Ohm’s law once the branch elements are known.


Given Data / Assumptions:

  • Ideal parallel connection between two nodes.
  • Single source maintaining node-to-node potential.
  • Negligible wiring and contact resistances for the basic model.


Concept / Approach:
By definition, components in parallel share the same pair of nodes, so the potential difference across each component equals the node-to-node voltage enforced by the source. Current splits according to branch impedances, but the voltage across each branch remains the same in the ideal case.


Step-by-Step Solution:

1) Identify the two common nodes across which all branches connect. 2) The source fixes the node potential difference V. 3) Each branch, being across the same nodes, sees the same V. 4) Branch currents then follow I_k = V / R_k for resistive branches.


Verification / Alternative check:
Practical circuits with nonzero wiring resistance still approximate equal branch voltages closely when wiring drops are small relative to load drops. Measurements in lab confirm nearly equal branch voltages in well-wired setups.


Why Other Options Are Wrong:

  • Incorrect: Contradicts the definition of parallel connection.
  • Only true for DC sources: Also holds for AC if components are directly in parallel.
  • Only true if resistances are equal: Equality of voltage does not require equal resistances.
  • Only true when wires have zero resistance: Small but finite wire drops are usually negligible; the ideal rule remains conceptually correct.


Common Pitfalls:
Confusing current sharing (which differs by branch impedance) with voltage sharing; assuming different branch voltages unless resistances match. In parallel, voltage is the same; current divides.


Final Answer:
Correct

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