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AP Physics C: E&M
13.5 Circuits with Resistors and Inductors (LR Circuits)
BeginnerMCQMathematicalConceptual14.9k
Circuit schematic containing a battery, open switch, resistor, and inductor in series.
Circuit schematic containing a battery, open switch, resistor, and inductor in series.
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?

RowCurrent 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\(0\)\(\dfrac{R}{L}\)

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