Definition of Lissajous figure : any of an infinite variety of curves formed by combining two mutually perpendicular simple harmonic motions, commonly exhibited by the oscilloscope, and used in studying frequency, amplitude, and phase relations of harmonic variables.
What are the uses of Lissajous figures in physics?
Lissajous Figures Uses The Lissajous figure is of high importance in physics in order to study the sinusoidal waves. The Lissajous figures are mainly used in analogue electronics to analyse the intersection of two or more sinusoidal wave constructing loops which are also known as Lissajous knots in general.
What are Lissajous figures in SHM?
If two S.H.M’s act in perpendicular directions, then their resultant motion is in the form of a straight line or a circle or a parabola etc. depending on the frequency ratio of the two S.H.M. and initial phase difference. These figures are called Lissajous figures.
What is the shape of Lissajous figure?
The above Lissajous figure is in elliptical shape and its major axis has some inclination angle with positive x-axis.
How do you draw a Lissajous figure?
What are Lissajous figures BYJU’s?
Solution: (b) Lissajous figure If two SHMs act in perpendicular directions, then their resultant motion is in the form of a straight line/a circle/a parabola etc, which is depend on the frequency ratio of the two SHMs and their initial phase difference. Therefore, these figures are Lissajous figures.
What are the Lissajous figures give two applications of its?
A Lissajous curve is used in experimental tests to determine if a device may be properly categorized as a memristor. It is also used to compare two different electrical signals: a known reference signal and a signal to be tested.
What are the uses of CRO?
INTRODUCTION: The cathode-ray oscilloscope (CRO) is a common laboratory instrument that provides accurate time and aplitude measurements of voltage signals over a wide range of frequencies. Its reliability, stability, and ease of operation make it suitable as a general purpose laboratory instrument.
How do you say Lissajous?
Which of the following is an example of a Lissajous figure?
Below are examples of Lissajous figures, all with δ = 0. The appearance of the figure is highly sensitive to the ratio a/b. For a ratio of 1, the figure is an ellipse, with special cases including circles (A = B, δ = π/2 radians) and lines (δ = 0). Another simple Lissajous figure is the parabola (a/b = 2, δ = π/2).
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 oscillation phase?
The phase of an oscillation or signal refers to a sinusoidal function such as the following: where , , and are constant parameters called the amplitude, frequency, and phase of the sinusoid. These signals are periodic with period , and they are identical except for a displacement of along the axis.
How are frequency and phase measured explain?
Frequency is commonly measured in Hertz, or cycles per second. Time is measured in seconds. So frequency x time = (cycles/sec) x sec = # of cycles. Thus two sine waves differing in frequency by 200 Hz get progressively out of phase with each other by 200 cycles every second.
What are the factors on which the shape of Lissajous figure depends?
Answer. Answer:The shape of Lissajous figures depends on frequency and phase relationship of 2 sine waves. 2 sine waves of same frequency and amplitude may produce a straight line an ellipse or a circle depending on their phase difference.
What conditions are necessary for lissajous patterns?
The simplest Lissajous patterns appear in the oscilloscope display when the frequencies of the signals are the same, i.e. their ratio is 1:1. When this condition is met and when the phase shift is 0°, the display consists of a straight line sloping upward from the left side of the screen to the right side.
What is Lissajous pattern in Hindi?
Answer: lissajous pattern Translation: • लिसाजू प्रतिरूप pattern स्वरूप आकृति
When the Lissajous pattern for two input voltages at same frequencies is a circle the phase difference between the two input voltages is?
Lissajous pattern with equal frequency voltages and zero phase shift. Thus when two equal voltages of equal frequency but with 90° phase displacement are applied to a CRO, the trace on the screen is a circle.
Which of the following measurements results in the formation of Lissajous patterns using CRO?
Detailed Solution. 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.
What is Lissajous figure Mcq?
A Lissajous figure is a pattern which is displayed on the screen when sinusoidal signals are applied to both horizontal & vertical deflection plates of CRO. These are used to measure the frequency of the given signals and phase difference between the signals.
What is the phase difference?
Phase difference is the difference in phase angle between two sinusoids or phasors. In a three-phase system, the phase difference between conductors is one-third of a cycle.
What are the main components of CRO?
Cathode Ray Oscilloscope (CRO) consists a set of blocks. Those are vertical amplifier, delay line, trigger circuit, time base generator, horizontal amplifier, Cathode Ray Tube (CRT) & power supply.
What is the shape of Lissajous figure at angle of 90?
Case – 3: When ø=90 when the angle is ø = 90 the Lissajous pattern is of the shape of circle.
How is phase difference measured in CRO?
- Cathode ray oscilloscope is used to determine the phase difference between two signals of the same frequency.
- The phase difference q between the two signals is given by.
- Sin θ = ± B/A.
- Where A is the maximum vertical deflection produced and B is Y intercept.
What is CRO principle?
The CRO working principle depends on the electron ray movement because of the electrostatic force. Once an electron ray hits a phosphor face, then it makes a bright spot on it. A Cathode Ray Oscilloscope applies the electrostatic energy on the electron ray from two vertical ways.
What are the types of CRO?
- Cathode ray tube (CRT)
- Horizontal Amplifier.
- Perpendicular Amplifier.
- Delay line.
- Time Base circuit.
- Power Supply circuit.
- Trigger Circuit.