The 60 Hz notch filter has the greatest effect on a waveform with which duration?

The 60 Hz notch filter has the greatest effect on a waveform with which duration?

• A. 16 ms
• B. 10 ms
• C. 25 ms
• D. 50 ms

Answer: (A)

The 60 Hz notch filter is designed to attenuate (reduce the amplitude of) frequencies around 60 Hz, which is commonly associated with electrical interference from power lines and equipment. The effectiveness of the notch filter on a waveform is closely related to the waveform's duration and the frequency content of the signal being analyzed. When considering the interaction between a notch filter and waveforms of varying durations, it’s essential to think about how the frequency domain characteristics translate to the time domain. The bandwidth of the notch filter is typically narrow, focusing specifically on the 60 Hz frequency. A waveform with a shorter duration (such as 16 ms) corresponds to a higher frequency content due to the relationship between frequency and time (frequencies are inversely proportional to the duration). Specifically, a waveform lasting 16 ms has a frequency of about 62.5 Hz. This is close to the 60 Hz range, meaning that the notch filter will have a significant impact on this waveform, effectively reducing its amplitude. In contrast, longer duration waveforms (like 50 ms) correspond to lower frequencies and are less sensitive to the notch filter because their frequency content is not as close to the 60 Hz interference. Thus, the 60 Hz notch

The 60 Hz notch filter is designed to attenuate (reduce the amplitude of) frequencies around 60 Hz, which is commonly associated with electrical interference from power lines and equipment. The effectiveness of the notch filter on a waveform is closely related to the waveform's duration and the frequency content of the signal being analyzed.

When considering the interaction between a notch filter and waveforms of varying durations, it’s essential to think about how the frequency domain characteristics translate to the time domain. The bandwidth of the notch filter is typically narrow, focusing specifically on the 60 Hz frequency.

A waveform with a shorter duration (such as 16 ms) corresponds to a higher frequency content due to the relationship between frequency and time (frequencies are inversely proportional to the duration). Specifically, a waveform lasting 16 ms has a frequency of about 62.5 Hz. This is close to the 60 Hz range, meaning that the notch filter will have a significant impact on this waveform, effectively reducing its amplitude.

In contrast, longer duration waveforms (like 50 ms) correspond to lower frequencies and are less sensitive to the notch filter because their frequency content is not as close to the 60 Hz interference. Thus, the 60 Hz notch