14.5 Oscillations in an lc circuit  (Page 3/4)

Do Kirchhoff’s rules apply to circuits that contain inductors and capacitors?

Can a circuit element have both capacitance and inductance?

In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?

A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.

The self-inductance and capacitance of an LC circuit are 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?

What is the self-inductance of an LC circuit that oscillates at 60 Hz when the capacitance is $10\mu \text{F}$ ?

In an oscillating LC circuit, the maximum charge on the capacitor is $2.0\times {10}^{\mathrm{-6}}\text{C}$ and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?

The self-inductance and capacitance of an oscillating LC circuit are $L=20\text{mH and}C=1.0\mu \text{F},$ respectively. (a) What is the frequency of the oscillations? (b) If the maximum potential difference between the plates of the capacitor is 50 V, what is the maximum current in the circuit?

In an oscillating LC circuit, the maximum charge on the capacitor is $q_m$ . Determine the charge on the capacitor and the current through the inductor when energy is shared equally between the electric and magnetic fields. Express your answer in terms of $q_m$ , L , and C .

In the circuit shown below, ${\text{S}}_1$ is opened and ${\text{S}}_2$ is closed simultaneously. Determine (a) the frequency of the resulting oscillations, (b) the maximum charge on the capacitor, (c) the maximum current through the inductor, and (d) the electromagnetic energy of the oscillating circuit.

An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a variable capacitor. If the natural frequency of the circuit is to be adjustable over the range 540 to 1600 kHz (the AM broadcast band), what range of capacitance is required?