Total current in a series circuit — should you add individual branch currents to obtain the total current in a single-path series network?

Introduction / Context:
Students often confuse rules for series and parallel networks. In a single-path series circuit, current does not split; thus, “adding currents” has no meaning because there is only one current everywhere in the loop. Recognizing this prevents calculation errors and misinterpretation of ammeter readings.

Given Data / Assumptions:

• A single closed series path (no branches).
• Ideal components and wiring.
• Steady-state operation.

Concept / Approach:
By definition, series elements carry identical current. KCL at each internal node implies current entering equals current leaving; with no branching nodes, the same current traverses all components. Therefore, the total current drawn from the source is simply that one current value, obtained via I = V_source / R_total for resistive networks, not a sum of separate branch currents (as would be the case for parallel networks).

Step-by-Step Solution:

Verification / Alternative check:
Insert an ammeter at different series points; readings are identical, confirming that current is not distributed among branches but remains singular in magnitude and direction (for DC).

Why Other Options Are Wrong:

Common Pitfalls:
Confusing series and parallel behaviors; overlooking small leakage or measurement branches that can create unintended parallel paths.

Final Answer:
Incorrect — the same current flows through every series element