Definition check: A voltage divider (two or more resistors establishing a fraction of a source) is always which type of network in its simplest, canonical form?

Difficulty: Easy

Correct Answer: Series circuit

Explanation:


Introduction / Context:
A basic voltage divider is the standard way to derive a lower voltage from a higher DC source using resistors. In its canonical form, it comprises two resistors in series, with the output taken from the junction. Understanding this prevents confusion with other topologies that incorporate loading or feedback elements.


Given Data / Assumptions:

  • Unloaded divider unless otherwise stated.
  • Two or more resistors connected end-to-end.
  • Output is the node between two series elements.


Concept / Approach:
The defining trait of a voltage divider is a simple series chain that splits the voltage proportionally to resistance values. Loading by a subsequent stage forms a series-parallel system, but the divider itself remains a series element pair. Hence, the primary classification is “series circuit.”


Step-by-Step Solution:

Identify the divider: R_top and R_bottom in series across the source.Output is taken at the midpoint node, yielding V_out = V_in * (R_bottom / (R_top + R_bottom)).Classify the topology: series.Therefore, select “Series circuit.”


Verification / Alternative check:
Consider loading: adding a load in parallel with the lower resistor creates a series-parallel network, but the divider core remains a series pair. The question asks for “always” in the canonical sense.


Why Other Options Are Wrong:
Series-parallel and bridge circuits describe more complex connections. A pure parallel circuit would not divide voltage proportionally. A delta network is a three-branch form not required for a basic divider.


Common Pitfalls:
Confusing the loaded divider (series-parallel system) with the intrinsic divider definition.


Final Answer:
Series circuit

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