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AP Physics C: E&M
13.5 Circuits with Resistors and Inductors (LR Circuits)
AdvancedMCQMathematical23.2k
A schematic diagram of an electric circuit drawn with straight black lines forming two adjacent rectangular loops. On the far left vertical wire of the left loop is a DC battery labeled \(V_0\) with its longer positive terminal on top. On the top horizontal wire of the left loop is a switch labeled \(S\) shown in an open position and a resistor labeled \(R_1 = R\) in series. A shared vertical wire separates the left and right loops, containing a resistor labeled \(R_2 = 2R\). On the far right vertical wire of the right loop, a resistor labeled \(R_3 = R\) is connected in series above an inductor coil labeled \(L\). No other labels, lines, text, or axes appear.
A two-loop LR circuit connected to a DC battery.
In the circuit shown, an ideal battery with potential difference \(V_0\) is connected to three resistors (\(R_1 = R\), \(R_2 = 2R\), \(R_3 = R\)), an ideal inductor \(L\), and a switch \(S\). The switch \(S\) has been closed for a long time. At time \(t = 0\), switch \(S\) is opened. Which of the following expressions represents the magnitude of the current \(I(t)\) through resistor \(R_2\) as a function of time \(t\) for \(t \ge 0\)?

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