Consider a series LCR circuit whose inductance and resistance remain unchanged while…
PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current
Problem
Consider a series LCR circuit whose inductance and resistance remain unchanged while its capacitance is doubled.
(i) Show that the new resonant angular frequency becomes ω0′=ω0/2, where ω0 is the original resonant angular frequency.
(ii) Derive an expression for the ratio of the new bandwidth Δω′ to the original bandwidth Δω.
(iii) Hence determine whether doubling the capacitance makes the resonance sharper or broader, giving algebraic justification based on your result in part (ii).