Show that the changes oscillate with a frequency given by `omega = 1/sqrt (LC) when a charged capacitor of capacitance C is connected to an inductor of inductance L.

A capacitor of capacitance C charged by an amount Q is connected in parallel with an uncharged capacitor of capacitance 2C. The final charges on the capacitors are

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.

Calculate the resonant frequency and Q-factor of a series L-C-R circuit containing a pure inductor of inductance 3H, capacitor of capacitance 27muF and resistor of resistance 7.4Omega

A series LRC circuit comprising of an inductor of inductance 3H, a resistor of resistance 7.4Omega and a capacitor of capacitance 27muF . When connected to an a.c source, the circuit resonates at a particular frequency. Calculate angular resonant frequency and quality factor of the resonant circuit.

If C and L denote the capacitance and inductance, then the units of LC are :

A series combination of resistor ( R ), capacitor ( C ) is connected to an .C. source of angular frequency omega . Keeping the voltage same, if the frequency is charged to (omega)/(3) , the current becomes half of the original current. Then the ratio of the capacitive reactance and resistance at the former frequency is