What are measurement from a Lissajous figure?

Lissajous figures are used for the measurement of frequency and phase difference. The patterns used to measure phase and frequency with a cathode ray oscilloscope are called Lissajous pattern.

Why the Lissajous figure is very useful?

Lissajous figure, also called Bowditch Curve, pattern produced by the intersection of two sinusoidal curves the axes of which are at right angles to each other. In general, the curves can be used to analyze the properties of any pair of simple harmonic motions that are at right angles to each other.

How Lissajous pattern is useful for determining the unknown frequency?

To determine the frequency from any Lissajous figure, count the number of horizontal loops in the pattern, divide it by the number of vertical loops and multiply this quantity by fh (known or standard frequency). The unknown frequency fv is therefore 1/3 fh.

What are Lissajous figures how it can be used to measure phase difference?

The Lissajous pattern indicates the phase difference by the shape of the X-Y plot. A straight line indicates a 0º or 180º phase difference. The angle of the line depends on the difference in amplitude between the two signals, a line at 45º to the horizontal means the amplitudes are equal.

How do you measure frequency using Lissajous figures?

To determine the frequency from any Lissajous figure, count the number of horizontal loops in the pattern, divide it by the number of vertical loops and multiply this quantity by fh (known or standard frequency).

What is a oscilloscope device?

An oscilloscope, formerly known as an oscillograph, is an instrument that graphically displays electrical signals and shows how those signals change over time.

What is the importance of oscilloscope in physics?

Significance. The oscilloscope is useful because it allows electrical signals, especially time varying ones, to be observed. The signals may be slow moving or rapid. The oscilloscope has amplification and delay features that allow part or all of the signal to be observed.

What is a function generator used for?

What is a function generator used for? A function generator is a piece of electronic test instrument used to generate and deliver standard waveforms, typically sine and square waves, to a device under test. It can be used to test a design or confirm that a piece of electronic equipment is working as intended.

What is a Lissajous figure?

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.

How to display Lissajous figure in Cro?

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.

How are Lissajous figures used to measure frequency?

Before the days of digital frequency meters and phase-locked loops, Lissajous figures were used to determine the frequencies of sounds or radio signals. A signal of known frequency was applied to the horizontal axis of an oscilloscope, and the signal to be measured was applied to the vertical axis.

How do you make a Lissajous pattern?

Lissajous patterns are derived – in the old cathode ray – tubes, by feeding one sine wave signal onto the x plates, and another onto the y-plates. The relationship between the two signals is shown by the type of display: if the two signals are of the same frequency, the picture will be a perfect circle.