A resistor of resistance 30 Ω and an inductor of inductance 0.10 H are connected in…
PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current
Problem
A resistor of resistance 30 Ω and an inductor of inductance 0.10 H are connected in series with a variable capacitor across a 220 V (r.m.s), 50 Hz AC source.
(i) Show that the power factor of the circuit becomes unity when the magnitudes of inductive reactance and capacitive reactance are equal.
(ii) Calculate the value of the capacitance that must be introduced to achieve the condition obtained in part (i).
(iii) For the capacitance found in part (ii), determine the r.m.s current in the circuit and the average power consumed from the source.