LC Circuits Practice Problems

In a circuit, an inductor is connected in parallel with two capacitors. The capacitors are used one at a time. Given that the inductance, L = 3.20 mH, and the capacitances are C₁ = 0.20 nF and C₂ = 0.35 nF, calculate the oscillation frequencies for each configuration.

You are provided with a 0.5 F capacitor, a long copper wire of radius 20 μm, and a hollow ceramic cylinder of radius 3.2 mm. What length of an inductor made from these materials will form a 0.20 Hz oscillator with the capacitor when the inductor has 3 layers of turns closely packed together?

Oscillating circuits are helpful as detectors of oscillating signals. A detector that operates based on an LC circuit uses a 20 mH inductor. What is the capacitance value of the capacitor that needs to be integrated into this circuit to detect a 540 Hz signal?

A 15 mH inductor and a 0.06 nF capacitor are assembled into an LC circuit. At t = 0s, the capacitor is charged to a peak voltage of 20 V. Calculate the current in the inductor when the capacitor is fully discharged.

An oscillating electric circuit is made from a capacitor of capacitance 150 nF and an induction coil of inductance 1.5 mH. The initial voltage on the capacitor is 9.0 V. Calculate the peak current that flows in the inductor during oscillation.