LC Oscillations

We connect a charge capacitor to an inductor the electric current and charge on the capacitor in the circuit undergoes LC oscillations.

What is the working of LC oscillator?

What is LC oscillation?

How oscillations are produced using inductor and capacitor?

Find the angular frequency of free oscillations of a circuit containing a charged $30 \mathrm{\mu }\mathrm{F}$ capacitor connected to a $27 \mathrm{m}\mathrm{H}$ inductor.

An inductor and two capacitors are connected in the circuit as shown in figure. Initially capacitor $\mathrm{A}$ has no charge and capacitor $\mathrm{B}$ has $\mathrm{C}\mathrm{V}$ charge. Assume that the circuit has no resistance at all. At $\mathrm{t}=0,$ switch $\mathrm{S}$ is closed, then given $\left[ \mathrm{L}\mathrm{C}=\frac{2}{{\mathrm{\pi }}^2\times {10}^4}{\mathrm{s}}^2 \& \mathrm{C}\mathrm{V}=100 \mathrm{m}\mathrm{C}\right]$

A $1.5 \mathrm{\mu }\mathrm{F}$ capacitor is charged to $60 \mathrm{V}$. The charging battery is then disconnected and a $15 \mathrm{m}\mathrm{H}$ coil is connected in series with the capacitor so that $\mathrm{LC}$ oscillations occur. Assuming that the circuit contains no resistance, the maximum current in this coil shall be close to

In AC circuit in which inductance and capacitance are joined in series. Current is found to be maximum when the value of inductance is $0.5 \mathrm{H}$ and the value of capacitance is $8\mathrm{ }\mu \mathrm{F}$. The angular frequency of applied alternating voltage will be