What is the half-power bandwidth of a resonant circuit that has a resonant frequency of 7.1 MHz and a Q of 150?

The relationship between the resonant frequency, the half-power bandwidth, and the Quality factor (Q) of a circuit is defined by the simple formula: Bandwidth = Resonant Frequency / Q. In this problem, the resonant frequency is 7.1 MHz (which is 7,100,000 Hz) and the Q is 150. Dividing 7,100,000 by 150 gives exactly 47,333.33 Hz. Converting this result back to kilohertz by dividing by 1,000 results in 47.33 kHz, which perfectly matches the correct option.