alleryStart learning →Are Kirchhoff's rules limited to circuits that resist series and parallel reduction?
AYes, they fail on a simple series loop
BYes, they need at least two emf sources
CNo, but they need equal branch currents
DNo, they hold for any circuit at all
Answer & Solution
Correct answer: D. No, they hold for any circuit at all
1. The two rules restate conservation of charge and conservation of energy, which hold everywhere.
2. So they apply to any circuit, simple or complex, however many sources it carries.
3. The series and parallel rules can themselves be derived from them as special cases.
4. Series and parallel shortcuts are preferred on simple circuits only because they involve less algebra.
5. Saying the rules need equal branch currents would rule out precisely the unbalanced circuits they were made for.
_Source: OpenStax College Physics (CC BY 4.0), Ch 21 "Circuits and DC Instruments", section 21.3 Kirchhoff's Rules_
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