You are given three series RL circuits: circuit A has resistance R/2,inductance L;circuit B has resistance R,inductance L;and circuit C has resistance 2R and inductance L.Rank in order from largest to smallest quality factors,Q_A,Q_B, and Q_C for the resonant frequency 5 MHz. A)Q_A Q_B Q_C B)Q_c Q_B Q_A C)Q_B Q_C Q_A D)Q_A Q_C Q_B

Question

You are given three series RL circuits: circuit A has resistance R/2,inductance L;circuit B has resistance R,inductance L;and circuit C has resistance 2R and inductance L.Rank in order from largest to smallest quality factors,Q_A,Q_B, and Q_C for the resonant frequency 5 MHz. A)Q_A > Q_B > Q_C B)Q_c > Q_B > Q_A C)Q_B > Q_C > Q_A D)Q_A > Q_C > Q_B

Quizplus · Accepted Answer

The quality factor (Q) of an RL circuit is directly proportional to the inductance (L) and inversely proportional to the resistance (R). Therefore, a lower resistance results in a higher Q. Circuit A, with the lowest resistance (R/2), has the highest Q, followed by circuit B (R), and then circuit C (2R) has the lowest Q.

You Are Given Three Series RL Circuits: Circuit a Has