A 100 V , AC source of frequency 500 H z is connected to an L C R circuit with L = 8.1 m H , C = 12.5 μ F , R = 10 Ω all connected in series as shown in the figure. What is the quality factor of the circuit?

Question

A 100 V , AC source of frequency 500 H z is connected to an L C R circuit with L = 8.1 m H , C = 12.5 μ F , R = 10 Ω all connected in series as shown in the figure. What is the quality factor of the circuit?, 2.02, 2.54, 50.54, 200.54

MARKS App · Accepted Answer

Q = 1 R L C ⇒ Q = 1 10 8.1 × 1 0 - 3 12.5 × 1 0 - 6 ⇒ Q = 1 10 81 × 1 0 3 125 ⇒ Q = 81 × 10 25 × 5 ⇒ Q = 9 × 2 5 = 2.54

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