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

If $L$ and $C$ are inductance and capacitance respectively, then the dimensional formula of $(LC)^{-\frac{1}{2}}$ is

In an oscillating $LC$-circuit,$L = 3 \ mH$ and $C = 2.7 \ \mu F$. At $t = 0$,the charge on the capacitor is zero and the current is $2 \ A$. The maximum charge that will appear on the capacitor will be

Consider an $LC$ circuit,with inductance $L = 0.1 \ H$ and capacitance $C = 10^{-3} \ F$,kept on a plane. The area of the circuit is $1 \ m^2$. It is placed in a constant magnetic field of strength $B_0$ which is perpendicular to the plane of the circuit. At time $t = 0$,the magnetic field strength starts increasing linearly as $B = B_0 + \beta t$ with $\beta = 0.04 \ T \ s^{-1}$. The maximum magnitude of the current in the circuit is . . . . $mA$.

What is meant by $LC$ circuit? What are $LC$ oscillations?

In an oscillating $LC$ circuit, the maximum charge on the capacitor is $Q$. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor becomes