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AP Physics 2
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
11.3 Resistance, Resistivity, and Ohm’s Law
AdvancedMCQMathematicalProportional AnalysisConceptual12.8k
DC circuit network with internal resistance and external parallel branches.
DC circuit network with internal resistance and external parallel branches.
A battery with electromotive force (emf) \(\mathcal{E}\) and internal resistance \(r = R\) is connected in a circuit with four external resistors, as shown in the schematic diagram. The circuit contains an external resistor of resistance \(R\) connected in series with a parallel network. The parallel network consists of two branches: Branch A contains a single resistor of resistance \(2R\), and Branch B contains two resistors connected in series, each with resistance \(2R\). What is the electric current flowing through Branch B, in terms of \(\mathcal{E}\) and \(R\)?

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