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AP Physics C: E&M
13.5 Circuits with Resistors and Inductors (LR Circuits)
13.4 Inductance
IntermediateMCQMathematicalConceptual20.4k
Circuit schematic with a battery, switch, two resistors, and an inductor.
Circuit schematic with a battery, switch, two resistors, and an inductor.
An ideal battery of electromotive force \(\mathcal{E}\) and a switch \(S\) are connected in parallel with two branches, as shown in the circuit diagram. One branch contains a resistor of resistance \(2R\), and the other branch contains an ideal inductor of inductance \(L\) connected in series with a resistor of resistance \(R\). The switch has been closed for a long time until steady-state conditions are reached, and is then opened at time \(t = 0\). Which of the following correctly ranks the magnitudes of the potential differences across the inductor \((\Delta V_L)\), the resistor of resistance \(R\) \((\Delta V_R)\), and the resistor of resistance \(2R\) \((\Delta V_{2R})\) immediately after the switch is opened at \(t = 0^+\)?

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