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.
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What are Lissajous figures PDF?
The Lissajous figures oscilloscope allows you to plot one sine wave along the x-axis against another sine wave along the y-axis. The result is the number of measurements. The Lissajous figure shows the phase difference between the two signals and the relationship between their frequencies.
What is Lissajous figures with examples?
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.
How Lissajous figures are produced?
A Lissajous figure is displayed on the screen when sinusoidal signals are applied to both horizontal & vertical deflection plates of CRO. Hence, apply the sinusoidal signals, which have same amplitude and frequency to both horizontal and vertical deflection plates of CRO.
What is Lissajous figure 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.
How do you read Lissajous figures?
The Lissajous pattern indicates the phase difference by the shape of the X-Y plot. A straight line indicates a 0ยบ or 180ยบ phase difference. The angle of the line depends on the difference in amplitude between the two signals, a line at 45ยบ to the horizontal means the amplitudes are equal.
How do you say Lissajous?
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 is the phase difference?
The phase difference is the difference in the phase angle of the two waves. Path difference is the difference in the path traversed by the two waves. The relation between phase difference and path difference is direct. They are directly proportional to each other.
What is a CRO in physics?
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.
What is Lissajous figure on which factor 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.
How are frequency and phase measured explain?
Relative Frequency Measurement Method: We can measure the unknown frequency fx by comparing it with a known frequency value, say fy. To measure the frequency using this method, the phase difference between the two waveforms must be zero. Connect unknown frequency signal at x-input and known frequency signal at y-input.
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 0ยฐ, the display consists of a straight line sloping upward from the left side of the screen to the right side.
How is phase angle measured in CRO?
In CRO we can measure the phase difference by X-Y mode operation. At a phase shift ฯ = 0ยฐ or 360ยฐ, the pattern indicated by CRO is a diagonal straight line making 45ยฐ with the X-axis. At a phase shift of ฯ = 90ยฐ, the pattern indicated by CRO is a clockwise rotating circle.
How far the Lissajous patterns are effective in frequency measurement?
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 the shape of Lissajous figure at angle of 90?
Case โ 3: When รธ=90 when the angle is รธ = 90 the Lissajous pattern is of the shape of circle.
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.
What is the use of Lissajous patterns of CRO?
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.
How do you pronounce Lissa?
Lissa’s full name is completely phonetic, however, the sheer size of it often makes people feel bewildered and they get confused and forget how to read. So, just to set the record straight, LISSA sounds like “Melissa” only without the “Me” part (hey- doesn’t that sound like a good tune name?!)
What are the uses of CRO?
The cathode ray oscillation is used to measure voltage and current and control the analog signal. It can measure frequency, waveform, and other characteristics of a particular signal. In radio stations, the CRO is used to observe signals and their properties.
What is Lissajous figure Mcq?
Cathode Ray Oscilloscope MCQ Question 6 Detailed Solution The Lissajous pattern is of the shape of an Ellipse having a major axis passing through the origin from the first quadrant to the third quadrant.
How is phase difference measured in CRO?
In CRO we can measure the phase difference by X-Y mode operation. At a phase shift ฯ = 0ยฐ or 360ยฐ, the pattern indicated by CRO is a diagonal straight line making 45ยฐ with the X-axis. At a phase shift of ฯ = 90ยฐ, the pattern indicated by CRO is a clockwise rotating circle.
What is called phase?
1 : a particular appearance or state in a regularly recurring cycle of changes phases of the moon. 2a : a distinguishable part in a course, development, or cycle the early phases of her career.
What is the phase angle ฯ?
The phase angle ฯ is the shift between AC current and voltage on the measured impedance (50kHz). The expression for the phase angle ฯ is: ฯ = arctg X/R. Reactance reflects the body cell mass, and the resistance reflects the water or fluid in the body.
What is the formula for phase shift?
We can write such functions with the formula (sometimes called the phase shift equation or the phase shift formula): f(x) = A * sin(Bx – C) + D ; or.