Lissajous Figures with unequal frequency in the ratio 1:2 | Analytical method.
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Lissajous figure is the pattern
Lissajous figure is the pattern which is displayed on the screen, when sinusoidal signals are applied to both horizontal & vertical deflection plates of CRO. These patterns will vary based on the amplitudes, frequencies and phase differences of the sinusoidal signals, which are applied to both horizontal & vertical deflection plates of CRO.
The following figure shows an example of Lissajous figure.
Example Of Lissajous Figure
The above Lissajous figure is in elliptical shape and its major axis has some inclination angle with positive x-axis.
Measurements using Lissajous Figures
We can do the following two measurements from a Lissajous figure.
Frequency of the sinusoidal signal
Phase difference between two sinusoidal signals
Now, let us discuss about these two measurements one by one.
Measurement of Frequency
Lissajous figure will be displayed on the screen, when the sinusoidal signals are applied to both horizontal & vertical deflection plates of CRO. Hence, apply the sinusoidal signal, which has standard known frequency to the horizontal deflection plates of CRO. Similarly, apply the sinusoidal signal, whose frequency is unknown to the vertical deflection plates of CRO.
#LearningScience
#Lissajousfigures
#wavesandoptics
The following figure shows an example of Lissajous figure.
Example Of Lissajous Figure
The above Lissajous figure is in elliptical shape and its major axis has some inclination angle with positive x-axis.
Measurements using Lissajous Figures
We can do the following two measurements from a Lissajous figure.
Frequency of the sinusoidal signal
Phase difference between two sinusoidal signals
Now, let us discuss about these two measurements one by one.
Measurement of Frequency
Lissajous figure will be displayed on the screen, when the sinusoidal signals are applied to both horizontal & vertical deflection plates of CRO. Hence, apply the sinusoidal signal, which has standard known frequency to the horizontal deflection plates of CRO. Similarly, apply the sinusoidal signal, whose frequency is unknown to the vertical deflection plates of CRO.
#LearningScience
#Lissajousfigures
#wavesandoptics
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