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A band-pass filter response hasa.None of theseb.one cut-off frequenciesc.two cut-off frequenciesd.wide bandwidth

Question

A band-pass filter response has

  • a. None of these
  • b. one cut-off frequency
  • c. two cut-off frequencies
  • d. wide bandwidth
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Solution

Answering the Question

A band-pass filter is designed to allow signals within a certain frequency range to pass while attenuating frequencies outside that range. Understanding the characteristics of band-pass filters can help clarify the options provided:

  1. Definition of Band-Pass Filter: A band-pass filter allows frequencies within a specified range—between a lower cut-off frequency and an upper cut-off frequency—while rejecting frequencies outside this range.

  2. Cut-Off Frequencies: By definition, a band-pass filter has two cut-off frequencies: one that marks the lower limit of the passband and another that marks the upper limit. These cut-off frequencies define the bandwidth of the filter.

  3. Wide Bandwidth: The term "wide bandwidth" is subjective and not inherently true for all band-pass filters. Some band-pass filters may have narrow bandwidths depending on their design.

Final Conclusion

Based on the definition and characteristics of a band-pass filter, the correct answer would be: c. two cut-off frequencies.

This choice accurately reflects that a band-pass filter specifically has two defined cut-off points.

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