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AP Physics C: E&M
13.5 Circuits with Resistors and Inductors (LR Circuits)
AdvancedMCQMathematicalConceptual21k
Circuit with battery, switch, inductor branch, and resistive branch.
Circuit with battery, switch, inductor branch, and resistive branch.
In the circuit shown, an ideal battery of electromotive force \(\mathcal{E}\) is connected in series with a switch \(S\) across two parallel branches: Branch 1 contains an ideal inductor of inductance \(L\) in series with a resistor of resistance \(R_1\), and Branch 2 contains a resistor of resistance \(R_2\). The switch has been closed for a time \(t \gg \dfrac{L}{R_1}\), establishing a steady-state current. At time \(t = 0\), switch \(S\) is opened to disconnect the battery. In the limit as \(t \to 0^+\), which of the following correctly describes the current through resistor \(R_2\) and the magnitude of the potential difference \(|V_L|\) across the inductor?

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