A series combination of resistor of resistance 100Ω, inductor of inductance 1H and capacitor of capacitance 6.25μF is connected to an ac source. The quality factor of the circuit will be________.
Physics · AC Circuits
JEE Mains 2023

Question

A series combination of resistor of resistance 100Ω, inductor of inductance 1H and capacitor of capacitance 6.25μF is connected to an ac source. The quality factor of the circuit will be________.

G1 Physics · Accepted Answer

For a series RLC circuit, ω₀=1/√(LC), Q=ω0L/R and Δω=R/L=ω₀/Q. At half-power, P=Pₘₐₓ/2. Using the stated values gives 4.