Parallel circuits — in any ideal parallel network connecting components across the same two nodes, the voltage across every branch/component is equal (common node-to-node potential). Is this statement correct?

Introduction / Context:
In basic circuit theory, series and parallel connections determine how voltage and current distribute among components. This item checks your understanding of the defining property of a parallel connection: all branches share the same node pair, and therefore the same voltage appears across every branch.

Given Data / Assumptions:

• Ideal lumped circuit with a DC or AC source.
• Components connected in parallel share the same two nodes.
• Wiring resistance and source impedance are neglected unless stated.

Concept / Approach:
By definition, a parallel connection places each component between the same two nodes. Voltage is a difference in electric potential between two points. If all components share the very same two points, the voltage difference across each must be identical, regardless of their individual resistances, reactances, or current draw.

Step-by-Step Solution:

Verification / Alternative check:
If two ideal voltmeters are placed across any two branches in a parallel network, both read the same value because they sense the same node pair. This holds for DC and sinusoidal steady-state AC (phasor magnitude equality across branches when referenced to the same nodes).

Why Other Options Are Wrong:

• Incorrect: Contradicts the definition of a parallel connection.
• Only for identical resistors: Voltage equality does not depend on component values; it is a node property.
• Only for AC sources: The property holds for DC and AC alike.

Common Pitfalls:
Confusing series (common current) with parallel (common voltage); ignoring small wiring drops in non-ideal layouts and thinking voltages differ substantially.

Final Answer:
Correct — in an ideal parallel connection, all branch voltages are equal.