An oscillating circuit consisting of a capacitor with capacitance `C` and a coil of inductance `L` maintans free undamped oscillations with voltage amplitude across the capacitor equal to `V_(m)`. For an arbitrary moment of time find the relation between the current `I` in the circuit and the voltage `V` acroos the capacitor. Solve this problem usdini `Omega`'s law and then the energy conservation law.

A circuit consists of a capacitor with capacitance C and a coil with active resistance R and inductance L connected in parallel. Find the impedane of the circuit at frequency omega of alternating voltage.

An oscillating circuit consist of a capacitor with capacitance C=4.0 mu F and a coil with inductance L=2.0 mu H and active resistance R=10 Omega . Find the ration of the energy of the coil's magnetic field to that of the capacitor's electric field at the moment when the current has the maximum value .

An oscillating circuit consists of a capacitor with capacitance C , a coil of inductance L with negligible resistance, and aswitch. With the switch disconnected , the capacitor was charged to a voltage V_(m) and then at the moment t=0 the switch was closed . Find : (a) the current (I(t)) in the circuit as a function of time, (b) the emf of self- inductance in the coil at the moments when the electric energy of the capacitor is equal to that of the current in the coil.

An oscillating circuit consists of a capacitor with capacitance C=1.2 nF and a coil with inductance L=6.0 mu H and active resistance R=0.50 Omega . What mean power should be fed to the circuit to maintain undamped harmonic oscillations with volage amplitude acroos the capacitor being equal to V_(m) =10 V ?

A circuit with capacitance C and inductance L generates free damped oscillations with current varying with time as I=I_(m)e^(-betat) sin omegat . Find the voltage across the capacitor as a function of time, and in particular, at the moment t=0 .

A certain oscillating circuit consits of a capacitor with capacitance C , a coil with inductance L and active resistance R , and a switch . When the swith was disconnected, the capacitor was charged, then the switch was closed and oscillations set in. Find the ratio of the voltage across the capacitor to its peak value at the moment immediatel after closing the switch.

A circuit consisting of a capacitor with capacitance C and a resistance R connected in series was connected at the moment t=0 to a source of ac voltage V=V_(m) cos omegat . Find the current in the circuit as a function of time t .

An oscillating circuit consisting of a capacitor with capacitance C=10 muF, a coil with inductance L=6.0muH and active resistance R=10Omega. The mean power that should be fed to the circuiit to maintain undamped harmonic oscillations with an external driving power with 50Hz and a V_(m) of 280 V is