A single-loop circuit contains an ideal battery of emf \(\mathcal{E}\), an open switch \(S\), a resistor of resistance \(R\), and an inductor of inductance \(L\), as shown in the diagram. At time \(t = 0\), switch \(S\) is closed. Which row in the table correctly identifies the current in the circuit immediately after the switch is closed (at \(t = 0^+\)) and the inductive time constant \(\tau\) of the circuit? | Row | Current at \(t = 0^+\) | Inductive time constant \(\tau\) | | :--- | :--- | :--- | | Row A | \(\dfrac{\mathcal{E}}{R}\) | \(\dfrac{R}{L}\) | | Row B | \(\dfrac{\mathcal{E}}{R}\) | \(\dfrac{L}{R}\) | | Row C | \(0\) | \(\dfrac{L}{R}\) | | Row D | \(0\) | \(\dfrac{R}{L}\)

AP Physics C: E&M

13.5 Circuits with Resistors and Inductors (LR Circuits)

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