Describe the physical and electrical properties of a circuit containing a combination of capacitors and a single inductor.

In circuits containing only a charged capacitor and an inductor (LC circuits), the maximum current in the inductor can be determined using conservation of energy within the circuit.

In LC circuits, the time dependence of the charge stored in the capacitor can be modeled as simple harmonic motion. \[\dfrac{d^2 q}{dt^2} = -\dfrac{1}{LC} q\]

The angular frequency of an oscillating LC circuit can be derived from the differential equation that describes an LC circuit. $$ =