A series combination of a 100 Ω resistor, 1 H inductor and 6.25 μF capacitor is connected to an AC source. The quality factor of the circuit is ______.
Physics · Circular Motion
JEE Mains 8 April 2023 Shift 2 Evening Shift

Question

A series combination of a 100 Ω resistor, 1 H inductor and 6.25 μF capacitor is connected to an AC source. The quality factor of the circuit is ______.

G1 Physics · Accepted Answer

For a series LCR circuit, quality factor: Q = ω₀L/R Also, ω₀ = 1/√(LC) Therefore, Q = (1/R)√(L/C) Given: R = 100 Ω L = 1 H C = 6.25 μF = 6.25×10⁻⁶ F So, Q = (1/100)√[1/(6.25×10⁻⁶)] = (1/100)×400 = 4 Final value: 4