All questions
AP Physics C: E&M
13.6 Circuits with Capacitors and Inductors (LC Circuits)
13.4 Inductance
AdvancedMCQMathematicalProportional AnalysisConceptual19.2k
A single rectangular circuit loop oriented horizontally. The left vertical branch contains a parallel-plate capacitor represented by two equal-length parallel horizontal lines separated by a narrow gap, with a label \(C\) positioned to the left of the gap. The top plate is marked with a plus sign and the bottom plate with a minus sign. The right vertical branch contains an inductor drawn as four adjacent semicircular loops curved toward the right, with a label \(L\) positioned to the right of the coils. The top and bottom horizontal branches consist of solid straight lines connecting the capacitor and inductor to form a single closed conductive loop. No other labels, lines, text, or axes appear.
Schematic of an ideal LC circuit.
An ideal circuit consists of an inductor of inductance \(L\) connected in a closed loop with a capacitor of capacitance \(C\). At time \(t = 0\), the capacitor holds an initial charge \(Q_0\) and the current in the circuit is zero. The circuit is analyzed for progressively smaller values of inductance while the initial charge \(Q_0\) and capacitance \(C\) are held constant. In the limit as \(L \to 0^+\), what happens to the maximum discharge rate of the capacitor, \(\left|\dfrac{dq}{dt}\right|_{\max}\), and the maximum energy stored in the magnetic field of the inductor, \(U_{L,\max}\)?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5