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AP Physics C: E&M
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current Circuits
BeginnerMCQMathematical24.3k
Two-loop circuit schematic with shared central branch.
Two-loop circuit schematic with shared central branch.
A circuit consists of two loops that share a central branch. The left branch contains an ideal battery of emf \(\mathcal{E}\) and a resistor of resistance \(R\). The right branch contains an identical ideal battery of emf \(\mathcal{E}\) and a resistor of resistance \(R\), with both batteries oriented to drive current toward the upper junction. The central branch contains a single resistor of resistance \(R\). What is the magnitude of the potential difference across the central resistor?

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