Step 1: Understanding the Concept:
The Quality factor ($Q$) measures the sharpness of resonance, while bandwidth ($BW$) is the range of frequencies over which the circuit operates effectively.
Step 2: Key Formula or Approach:
The relationship is defined by:
\[ Q = \frac{f_0}{BW} \]
where $f_0$ is the resonant frequency.
Step 3: Detailed Explanation:
A high $Q$ factor indicates a very narrow bandwidth, making the circuit highly selective (good for tuning).
Conversely, a low $Q$ factor indicates a wide bandwidth, meaning the circuit responds to a broader range of frequencies.
Step 4: Final Answer:
$Q$ is the ratio of resonant frequency to bandwidth.