Reactance and Impedance

(i) An alternating emf of 200 V, 50 Hz is applied to an L-R ciruit, having a resistance R of 10 Ω and an  inductance L of 0.05H connected in series. Calculate : 

(1) Impedance

(2) Current flowing in the circuit 

(ii) Draw a labelled graph showing the variation of inductive reactance (`X_L`) verses frequency (`f`) .

A light bulb and a solenoid are connected in series across an ac source of voltage. Explain, how the glow of the light bulb will be affected when an iron rod is inserted in the solenoid.

A light bulb is rated at 125 W for a 250 V a.c. supply. Calculate the resistance of the bulb.

An inductor L of inductance X_L is connected in series with a bulb B and an ac source. How would brightness of the bulb change when (i) number of turn in the inductor is reduced, (ii) an iron rod is inserted in the inductor and (iii) a capacitor of reactance X_C = X_L is inserted in series in the circuit? Justify your answer in each case.

A series combination of an inductor (L), capacitor (C) and a resistor (R) is connected across an ac source of emf of peak value E₀, and angular frequency (ω). Plot a graph to show variation of impedance of the circuit with angular frequency (ω).

What is the reactance of a capacitor connected to a constant DC source?

An AC source is connected to a capacitor. Will the rms current increase, decrease or remain constant if a dielectric slab is inserted into the capacitor?