Series–parallel topology language — complete the statement: “Series components in a series–parallel circuit may be in series with other ______ components, or with other ______ components.”
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Aindividual, combinations of
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Bseries, parallel
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Cparallel, series
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Dshunt, parallel
Answer
Correct Answer: series, parallel
Explanation
Introduction / Context:Complex networks are built by nesting series and parallel groupings. A precise vocabulary helps when describing how subcircuits are connected. This fill-in statement checks whether you can correctly identify that a series element can continue in series or meet a subcircuit that is arranged in parallel at the next stage of the topology.
Given Data / Assumptions:
- Standard definitions: series elements share the same current path; parallel elements share the same node pair (voltage).
- Networks are constructed by combining blocks recursively.
- We are focusing on terminology, not a specific numerical example.
Concept / Approach:A series–parallel circuit is formed by connecting components and sub-networks in either series or parallel at each stage. Therefore, a set of series elements may continue in series with other series elements, or that series path may be in series with a block that itself is a parallel combination. The correct completion is “series, parallel.”
Step-by-Step Solution:
Recall series: one current path; drops add; resistances add.Recall parallel: same node pair; currents add by KCL; conductances add.Recognize nesting: a series chain can precede or follow a parallel block.Fill the blanks: series components may be in series with other series components, or with other parallel components.Verification / Alternative check:Look at a practical RC filter: a series resistor feeding a shunt RC (a parallel block). The series resistor is in series with a parallel network (capacitor || load), matching the statement.
Why Other Options Are Wrong:
- individual, combinations of: Vague and not a recognized pair of topological terms.
- parallel, series: Reverses the intended order; the first blank must reflect what series components can be with next.
- shunt, parallel: “Shunt” is another word for parallel, but the pair does not complete the sentence logically.
Common Pitfalls:Confusing “in series with a parallel combination” versus “in parallel with a series combination.” The prepositions matter for accurate descriptions.
Final Answer:series, parallel — a series path may continue in series or encounter a parallel block.