Series circuits and current: Does a series network function as a current divider? Consider a basic direct-current (DC) series circuit with two or more resistors connected end-to-end and powered by an ideal voltage source. Evaluate whether such a series connection 'divides' current among its components in the same sense that parallel networks divide current.

Introduction / Context:
Students often confuse the behaviors of series and parallel connections. This item probes whether a series circuit acts as a current divider, which is a foundational distinction in circuit analysis and troubleshooting.

Given Data / Assumptions:

• Ideal DC source with negligible internal resistance.
• Two or more passive elements (e.g., resistors) connected strictly in series.
• Steady-state DC (no transient analysis required).

Concept / Approach:

A current divider is a network that splits a total current into branches according to branch impedances. By definition, current division requires multiple parallel paths. In a pure series circuit, there is only a single path for charge flow; therefore, the same current must pass through every element.

Step-by-Step Solution:

Verification / Alternative check:

Compute a simple example: two series resistors R1 and R2 across V. The branch count is one. The current I = V / (R1 + R2) flows through both resistors identically. By contrast, for parallel resistors, I splits as I1 = V / R1 and I2 = V / R2, exhibiting true current division.

Why Other Options Are Wrong:

• “True” contradicts the requirement of multiple paths for current division.
• “Only if the source is AC and not DC” is irrelevant; topology, not waveform, governs division.
• “Only when all component values are equal” still yields identical current, not divided paths.
• “Reactive components” do not create parallel branches by themselves.

Common Pitfalls:

Confusing voltage division (series) with current division (parallel). Another pitfall is assuming component value differences in series change current in individual elements; they only change individual voltage drops.

Final Answer:

False