Derive an expression for the impedance of an a.c. circuit consisting of an inductor and a resistor.

In a series AC circuit containing a capacitor and a resistor only

Find the impedance of AC circuit at resonance shown in the adjacent figure

Derive an experssion for the average power in LCR circuit connected to a.c. supply. Hence define power factor. Show that average power cousumed per cycle in an a.c. circuit conataining an ideal capacitor is zero.

Find the average power consumed in the circuit consisting of resistanceless inductor .

(a) Deriver and expression for the average power consumed in a series LCR circuit connected to a.c., source in which the phase different between the voltage and the current in the circuit is phi . (b) Define the quality factor in an a.c. circuit. Why should the quality factor have high value in receiving circuits ? Name the factors on which it depends.

The phase difference between voltage and current in an AC circuit containing a resistor and an inductor in series is phi_1 . When the inductor is replaced by a capacitor , the phase difference is changed to phi_2 . The phase difference when all the three elements are connected in series with the same AC source will be

The capacitive reactance in an A.C. circuit is

In an a.c. circuit, there is no power consumption in an ideal inductor. Explain.

(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.

An A.C. generator generating an e.m.f. of epsi= 300 sin (100 pi t)V is connected to a series combination of 16mu F capacitor, 1H inductor and 100Omega resistor. Calculate Impedance of the circuit at the given frequency