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The 60 Hz notch filter will have the greatest effect on a waveform having a duration of:

- 16 ms
- 10 ms
- 25 ms
- 50 ms

Answer :

Final answer:

The 60 Hz notch filter would have the greatest effect on the waveform having a duration of 16 ms, as shorter duration waveforms have a wider frequency spectrum that is more susceptible to attenuation by the filter.

Explanation:

The question revolves around the effect of a 60 Hz notch filter on waveforms of varying durations. A notch filter is designed to reduce the amplitude of certain frequencies and has an inverse relationship between accuracy in time and frequency domains, meaning that a tighter frequency filter leads to more temporal distortion. In this case, waveforms will experience "spreading" due to the filtering; this is understood through the impulse response function, which shows that filtering introduces temporal smearing across the waveform.

Out of the provided durations, the waveform with a duration of 16 ms would be most affected by the 60 Hz notch filter. Shorter pulses, such as a 16 ms pulse, exhibit a wider frequency spectrum, including the 60 Hz frequency that the notch filter is designed to attenuate. This means the 60 Hz components of a 16 ms pulse would be significantly reduced, while the effect on longer duration waveforms would be less because their frequency content is spread over a narrower band and less likely to include a strong 60 Hz component.

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