A series LCR circuit is connected to an ac source of variable frequency. When the frequency is increased continuously, starting from a small value, the power factor

In a series LCR circuit, operated with an ac of angular frequency omega , the total impedance is

For an LCR series circuit with an aac source of angular frequency omega .

For an LCR circuit connected to the AC source match the following

(a) In a series LCR circuit connected across an AC source of variable frequency, obtain the expression for its impedance and draw a plot showing its variation with frequency of the AC source. (b) What is the phase difference between the voltages across inductor and the capacitor at resonance in the LCR circuit ? (c ) When and inductor is connected to a 200 V DC voltage, a current of 1Aflows trough it. when the same inductor is connected to a 200 V, 50 Hz AC source, only 0.5 A current flows. Explain, why ? Also, calculate the self inductance of the inductor.

A series LR circuit is connected to an ac source of frequency omega and the inductive reactance is equal to 2R. A capacitance of capacitive reactance equal to R is added in series with L and R. The ratio of the new power factor to the old one is

A variable frequency AC source is connected to a capacitor. Then on increasing the frequency

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