$A$ transmitter transmits at a wavelength of $300\ m$. $A$ capacitor of capacitance $9.6\ \mu F$ is being used. The value of the inductance for the resonant circuit is approximately.

Show that in the free oscillations of an $LC$ circuit,the sum of energies stored in the capacitor and the inductor is constant in time.

What is an $LC$ circuit?

An oscillator circuit consists of an inductance of $0.5 \ mH$ and a capacitor of $20 \ \mu F$. The resonant frequency of the circuit is nearly......$Hz$

$A$ circuit consists of a coil with inductance $L$ and an uncharged capacitor of capacitance $C$. The coil is in a constant uniform magnetic field such that the flux through the coil is $\phi$. At time $t=0$,the magnetic field is abruptly switched $OFF$. Let $\omega_{0}=1 / \sqrt{L C}$ and ignore the resistance of the circuit. Then,

$A$ $60\,\mu F$ capacitor is charged to $100\,V$. This charged capacitor is connected across a $15\,mH$ coil,so that $LC$ oscillations occur. The maximum current in the coil is: