What is the Q of a parallel RLC circuit, if it is resonant at 3.625 MHz, L is 3 microhenrys and R is 2.2 kilohms?

To find the quality factor (Q) of a parallel RLC circuit, we use the formula Q = R / X_L, where R is the parallel resistance and X_L is the inductive reactance at the resonant frequency. First, calculate the inductive reactance using X_L = 2πfL. Plugging in the values, we get X_L = 2 × π × 3.625 × 10^6 Hz × 3 × 10^-6 H, which equals approximately 68.33 ohms. Next, divide the given resistance by the calculated reactance. Q = 2200 ohms / 68.33 ohms, resulting in a Q factor of approximately 32.2.