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Q factor



         


Q factor is a measure of the "quality" of a resonant system. Resonant systems respond to frequencies close to the natural frequency much more strongly than they respond to other frequencies. On a graph of response versus frequency, the bandwidth is defined as the 3 dB change in level besides the center frequency. The definition of the bandwidth BW as the "full width at half maximum" or FWHM is wrong.

The Q factor is defined as the resonant frequency (center frequency) f0 divided by the bandwidth BW:

<math>

Q = \frac{f_0}{f_2 - f_1} = \frac{f_0}{BW} <math>

Bandwidth BW = f2 - f1, where f2 is the upper and f1 the lower cutoff frequency.

In a tuned radio frequency receiver (TRF) the Q factor is:

<math>

Q = \frac{1}{R} \sqrt{\frac{L}{C}} <math>

In optics, the optical Q factor of a resonant cavity is the ratio of energy stored to energy dissipated in the cavity. If the Q factor of a laser's cavity is abruptly changed, the laser can be induced to emit a pulse of light; this technique is known as Q-switching.

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Other uses

In marketing and pop culture commentary, Q factor is sometimes used as a casual synonym for Q Score.

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