What is the half-power bandwidth of a resonant circuit that has a resonant frequency of 3.7 MHz and a Q of 118?

To find the half-power bandwidth of a resonant circuit, you use the relationship between bandwidth, resonant frequency, and the quality factor (Q). The formula is bandwidth equals resonant frequency divided by Q. First, convert the resonant frequency from megahertz to kilohertz so your answer matches the units in the options. 3.7 MHz is equal to 3700 kHz. Next, divide 3700 kHz by the Q of 118. This gives approximately 31.355 kHz, which rounds to 31.4 kHz. Therefore, the half-power bandwidth is 31.4 kHz.