when 2 perpendicular, sinusoidally varying voltages are applied to an electron beam in a CRT, the pattern traced by the beam on the screen of the CRT is a lissajous figure.
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Jules Antoine Lissajous died in 1880.
Jules Antoine Lissajous was born on March 4, 1822.
Jules Antoine Lissajous was born on March 4, 1822.
Lissajous figures are observed when two simple harmonic motions are perpendicular to each other. These figures can be generated by plotting the motion of a point on a plane as it moves according to the two harmonic motions. They are commonly seen in the study of oscillations and wave phenomena.
There is quite a bit info on Lissajous curves(that's spelled right), check the link below.
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lissajous
The formula for calculating the frequency of a Lissajous figure is f = (n2-n1) * (f1-f2) / (2 * (n1+n2)), where f is the frequency of the Lissajous figure, n1 and n2 are the integer ratios of the frequencies f1 and f2 on the x and y axes respectively.
A: To get the phase angle
a pattern that is produced by adding or subtracting signals in or out of phases is called lissagious pattern.It is the type of pattern that is produced on the screen of an oscilloscope.by ADDING OR SUBTRACTING SIGNALS IN-OUT OF PHASES CAUSES A LISSAJOUS PATTERN. This is caused by comparing phases any magnitude if equal and set out of 90 degrees will be a circle on a Lissajous patter.
If you must use an oscilloscope, then using Lissajous Figures will give you exact multiples of a given frequency. Naturally, you must have a known reference frequency at hand.These days a Frequency Counter will give adequate resolution.
in 1875 lissajious demonstrated that when a particle is acted upon simultaniously by two simple haromonic motions at right angles to each other ,the resultant path traced at right angles to each other, the resultant path traced out by the particles is a curve . the curves obtained by lissajious figures. the nature of figures depends upon the following factors: (i) amplitudes of the vibrations, (ii) frequencies of the two vibrations, and (iii) phase difference between the vibrations. here we shall discuss the analytical treatment of the lissajous figures for different values of phase differences when frequencies of two rectangular vibrations are in the ratio 1:1 and 2:1 respectively.