PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current
Problem
A series RLC circuit of resistance R, inductive reactance XL and capacitive reactance XC is driven by an a.c. source of angular frequency ω.
(i) Starting with the expression for the impedance Z, show that at the resonant frequency the impedance reduces to R.
(ii) Hence prove that the current amplitude in the circuit is maximum at resonance.
(iii) Briefly comment on the physical significance of this result for practical a.c. circuits.