The resonant frequency of an $LC$ circuit is $f_0$. If a dielectric slab of constant $K = 16$ is inserted completely between the plates of the capacitor,then the new resonant frequency is:

$A$ $4 \mu F$ capacitor is charged to $10 \ V$. The battery is then disconnected and a pure $10 \ mH$ coil is connected across the capacitor so that $LC$ oscillations are set up. The maximum current in the coil is (in $A$)

An $LC$ circuit contains a $20 \, mH$ inductor and a $50 \, \mu F$ capacitor with an initial charge of $10 \, mC$. The resistance of the circuit is negligible. Let the instant the circuit is closed be $t = 0$. At what time is the energy stored completely magnetic? $t = \dots \, ms$

If maximum energy is stored in a capacitor at $t=0$,then the time after which the current in the circuit will be maximum is:

$LC$-oscillations are similar and analogous to the mechanical oscillations of a block attached to a spring. The electrical equivalent of the force constant of the spring is

$A$ series resonant $AC$ circuit contains a capacitance $10^{-6} \,F$ and an inductor of $10^{-4} \,H$. The frequency of electrical oscillations will be