Power in an ac circuit | Resonant frequency

Power In AC Circuit|Resonant Frequency|Questions

In resonant circuit, at resonant frequency

The sharpness of resonance or Q value of resonant circuit with resonant frequency f_(r) and half power frequency f_(1) and f_(2) is

In a series LCR circuit, at resonant frequency.

Assertion : In series L-C-R, AC circuit, current and voltage are in same phase at resonance. Reason : In series L-C-R, AC circuit, resonant frequency does not depend on the value of resistance. Hence, current at resonance does not depend on resistance.

In a series LCR circuit, the resonance frequency is 800 Hz. The half power points are obtained at frequencies 745 and 855 Hz. Calcualte the Q factor of the circuit and the band width.

Does it imply that power dissipated in an a.c. circuit is zero at resonance ?

When the frequency of the AC source in an LCR circuit equals the resonant frequency, the reactance of the circuit is zero. Does it mean that there is no current through the inductor or the capacitor?

In rejector circuit, above resonant frequency the circuit is

In a series LCR circuit resonance of frequency is the half of the frequency of source.The nature of the circuit is