On the Determination of the Phase Angle between two Sinusoidal Variations of Equal Frequency by means of a Lissajou Figure

1943 ◽  
Vol 27 (276) ◽  
pp. 155-158
Author(s):  
Mary K. B. Harwood ◽  
R. G. Manley

Modern engineering employs the use of the cathode-ray oscillograph as a means to solve some of its problems. A Lissajou figure produced on the cathode-ray tube provides a convenient method of determining the phase difference between two sinusoidal variations of the same frequency. The figure is, in general, an ellipse and this note gives the mathematical basis of the method of determining the phase angle in terms of the axes of the ellipse and of the sides of the principal circumscribing rectangle (whose sides are parallel to the injection axes).

1979 ◽  
Vol 75 ◽  
pp. C21-C23 ◽  
Author(s):  
Thomas P. Mawhinney ◽  
Milton S. Feather ◽  
J.Ricardo Martinez ◽  
Guilio J. Barbero

2012 ◽  
Vol 424-425 ◽  
pp. 923-926
Author(s):  
Xiao Jian Hu ◽  
Wen Chen ◽  
Li Li ◽  
Jin Ping Zhou ◽  
Bao Shou Guo ◽  
...  

A simple and convenient method for the determination of μ g/l level in the real drinking water bromate overcome traditional methods of defects. Argentina by electrolyzing the smallest electrode interference and then focus on extra chlorine use microwave technology foundation evaporation and concentration, the proposed method is very sensitive to the determination of trace level of the sales of the drinking water. And a microwave oven, drinking water ten times the sample can be concentrated in 10 minutes can get and good recovery. Treatment of the silver electrode, the method of interference, and can effectively eliminate the Cl- This method is successfully applied to the detection in water sample level in the trace. It is the advantage of the operation is simple, fast, high sensitivity, accurate results. This method can be applied widely, suitable for trace analysis of water samples.


1993 ◽  
Vol 36 (1) ◽  
pp. 178-185 ◽  
Author(s):  
Janet E. Shanks ◽  
Richard H. Wilson ◽  
Nancy K. Cambron

Three methods for compensating multiple frequency acoustic admittance measurements for ear canal volume were studied in 26 men with normal middle ear transmission systems. Peak compensated static acoustic admittance (| y |) and phase angle (ø) were calculated from sweep frequency tympanograms (226–1243 Hz in 113 Hz increments). Of the procedures used to compensate for volume in rectangular form, the ear canal pressure used to estimate volume had the largest effect on the estimate of middle ear resonance. Median resonance was 800 Hz for admittance measurements compensated at 200 daPa versus 1100 Hz for measurements compensated at –350 daPa. The remaining two methods, compensation of susceptance only versus both susceptance and conductance and compensation using the minimum volume versus separate volumes at each frequency, did not affect estimates of middle ear resonance. Estimates of middle ear resonance from compensated phase angle measurements also were compared with estimates of resonance from admittance and phase difference curves. although resonance could not be estimated from the phase difference curve, resonance estimated from the admittance difference curve agreed with the estimate from compensated phase angle.


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