Video bandwidth in RF detectors refers to the range of frequencies that can be accurately displayed on a spectrum analyzer, impacting the clarity and detail of the RF spectrum visualization. It is crucial for analyzing signals, as a wider video bandwidth allows for better resolution and faster response to changes in the signal. Understanding the relationship between video bandwidth and sweep time is essential for effective spectrum analysis. The discussion emphasizes the importance of these concepts in accurately interpreting RF signals. Overall, video bandwidth plays a significant role in the performance of RF detection and analysis.