What electrical component states that voltage remains the same in both branches of a parallel circuit?

In a parallel circuit, the defining characteristic is that all components share the same voltage across their terminals. This means that the voltage remains constant across each branch of the circuit, regardless of the individual resistances or impedances present.

A voltage source is specifically designed to provide a stable voltage. In a parallel configuration, when connected to a voltage source, each branch will exhibit the same voltage as the source. This property is fundamental to the operation of parallel circuits and explains why devices or components connected in parallel can operate independently while still experiencing the same voltage level.

In contrast, while resistors, capacitors, and inductors can have their own behavior and interactions within a circuit, they do not inherently define the voltage characteristics of a circuit as a voltage source does. Hence, the correct answer highlights the fundamental principle of parallel circuits dictated by the voltage source.