Difference between revisions of "Dictionary:Q(Quality)"

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<center><math>A(t) = A_0\mathrm{e}^{-ht} \cos \omega t \ </math></center>
<center><math>A(t) = A_0\mathrm{e}^{-ht} \cos \omega t \ </math></center>
See Figure [[Dictionary:Fig_A-2|A-2]].
[[File:Sega2.jpg|center|thumb|600px|[[Dictionary:Absorption|Absorption terminology]]. Sometimes this terminology is used for attenuation because of factors other than absorption. ''E'' = energy, <math>\Delta E</math> = energy lost in one cycle, <math>\lambda</math> = wavelength, ''f'' = frequency, ''x'' = distance, ''t'' = time, <math>\frac{A}{A_{0}} = \frac{\text {amplitude}}{\text {initial amplitude}}</math>, <math>\frac{A_{1}}{A_{2}} = \frac{\text {amplitude}}{\text {amplitude one cycle later}}</math>.<ref>Sheriff, R.E., 1989, ''Geophysical methods'', pg. 330: Prentice Hall Inc.</ref>]]
'''2'''. The ratio of the reactance of a circuit to the resistance.  
'''2'''. The ratio of the reactance of a circuit to the resistance.  
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== External links ==

Revision as of 13:31, 30 December 2014

1. Quality factor, the ratio of 2π times the peak energy to the energy dissipated in a cycle; the ratio of 2π times the power stored to the power dissipated. The seismic Q of rocks is of the order of 50 to 300. Q is related to other measures of absorption (see below):

where V, f, λ, and T are, respectively, velocity, frequency, wavelength, and period.[1] The absorption coefficient α is the term for the exponential decrease of amplitude with distance because of absorption; the amplitude of plane harmonic waves is often written as

where x is the distance traveled. The logarithmic decrement δ is the natural log of the ratio of the amplitudes of two successive cycles. The last equation above relates Q to the sharpness of a resonance condition; is the resonance frequency and is the change in frequency that reduces the amplitude by . The damping factor h relates to the decrease in amplitude with time,

See Figure A-2.

2. The ratio of the reactance of a circuit to the resistance.

3. A term to describe the sharpness of a filter; the ratio of the midpoint frequency to the bandpass width (often at 3 dB).

4. A designation for Love waves (q.v.).

5. Symbol for the Koenigsberger ratio (q.v.).

6. See Q-type section.

See also


  1. Sheriff, R. E. and Geldart, L. P., 1995, Exploration Seismology, 2nd Ed., Cambridge Univ. Press.