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The Q of a band-pass filter depends ona.the center frequency and the bandwidthb.only the center frequencyc.only the bandwidthd.the critical frequencies

Question

The Q of a band-pass filter depends

a. the center frequency and the bandwidth
b. only the center frequency
c. only the bandwidth
d. the critical frequencies

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Solution

Final Answer

The correct answer is a. the center frequency and the bandwidth.

Explanation

The Q factor, or quality factor, of a band-pass filter is a measure of how selective the filter is regarding the frequencies it allows to pass. It is defined as the ratio of the center frequency (f₀) to the bandwidth (BW) of the filter:

Q=f0BW Q = \frac{f_0}{BW}

Where:

  • f0 f_0 is the center frequency of the filter,
  • BW BW is the bandwidth (the difference between the upper and lower cutoff frequencies).

This means that both the center frequency and the bandwidth are essential in determining the Q factor. The other options do not accurately capture the relationship between the Q factor and the characteristics of the band-pass filter.

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