A series LCR circuit is driven by an AC source of fixed amplitude
PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current
Problem
A series LCR circuit is driven by an AC source of fixed amplitude. Let ω be the angular frequency of the source and ω0 the resonant angular frequency of the circuit.
(a) Show that for ω>ω0 the circuit behaves predominantly inductively, whereas for ω<ω0 it behaves predominantly capacitively.
(b) Derive an expression for the difference ∣XL−XC∣ in terms of ω, ω0, L and C.
(c) Using your expression, discuss how the current amplitude varies as the frequency is tuned slightly above and slightly below resonance, commenting on the role played by the resistance R.