What is the Q of a parallel RLC circuit, if it is resonant at 7.125 MHz, L is 12.6 microhenrys and R is 22 kilohms?

The quality factor (Q) of a parallel RLC circuit is determined by the formula Q = R / X_L. Remember that parallel circuits behave oppositely to series circuits when calculating Q, so placing R in the numerator is essential. Step one is to calculate the inductive reactance using X_L = 2 * π * f * L. For f = 7.125 MHz and L = 12.6 µH, X_L = 2 * 3.1416 * 7.125 * 12.6 ≈ 564.1 ohms. Step two is to convert the resistance to ohms (22 kilohms = 22,000 ohms) and divide it by the reactance. Q = 22,000 / 564.1 ≈ 39.