Unknown Frequency using Lissajous Figures Calculator

✖Known Frequency is the input signals of various frequencies based on your specific application or measurement requirements. The oscilloscope then displays the waveform of the input signal.ⓘ Known Frequency [f_x]			+10% -10%
✖Horizontal Tangencies refers to a condition or situation in an oscilloscope where the waveform being displayed touches or is tangent to the horizontal axis.ⓘ Horizontal Tangencies [H]			+10% -10%
✖Vertical Tangencies refer to a situation in an oscilloscope or graph where the waveform being displayed touches or is tangent to the vertical axis.ⓘ Vertical Tangencies [v]			+10% -10%

✖Unknown Frequency refers to a signal whose frequency is not known or hasn't been determined yet. It could be a signal being analyzed or measured for its frequency characteristics.ⓘ Unknown Frequency using Lissajous Figures [f]

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Formula

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Unknown Frequency using Lissajous Figures

Formula

`"f" = "f"_{"x"}*"H"/"v"`

Example

`"16.36364Hz"="15Hz"*"12"/"11"`

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Unknown Frequency using Lissajous Figures Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unknown Frequency = Known Frequency*Horizontal Tangencies/Vertical Tangencies
f = f_x*H/v
This formula uses 4 Variables

Variables Used

Unknown Frequency - (Measured in Hertz) - Unknown Frequency refers to a signal whose frequency is not known or hasn't been determined yet. It could be a signal being analyzed or measured for its frequency characteristics.
Known Frequency - (Measured in Hertz) - Known Frequency is the input signals of various frequencies based on your specific application or measurement requirements. The oscilloscope then displays the waveform of the input signal.
Horizontal Tangencies - Horizontal Tangencies refers to a condition or situation in an oscilloscope where the waveform being displayed touches or is tangent to the horizontal axis.
Vertical Tangencies - Vertical Tangencies refer to a situation in an oscilloscope or graph where the waveform being displayed touches or is tangent to the vertical axis.

STEP 1: Convert Input(s) to Base Unit

Known Frequency: 15 Hertz --> 15 Hertz No Conversion Required
Horizontal Tangencies: 12 --> No Conversion Required
Vertical Tangencies: 11 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = f_x*H/v --> 15*12/11

Evaluating ... ...

f = 16.3636363636364

STEP 3: Convert Result to Output's Unit

16.3636363636364 Hertz --> No Conversion Required

FINAL ANSWER

16.3636363636364 ≈ 16.36364 Hertz <-- Unknown Frequency

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics and Instrumentation » Signal Generator & Analyzer » Oscilloscope » Unknown Frequency using Lissajous Figures

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Created by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has created this Calculator and 100+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 22 Oscilloscope Calculators

Modulus Number of Counter

Go Number of Counter = log(Modulus Number,(Output Time Period/Oscillation Time Period))

Display Rise Time of Oscilloscope

Go Oscilloscope Display Rise Time = sqrt((Oscilloscope Rise Time^2)-(Oscilloscope Imposed Rise Time^2))

Rise Time Imposed by Oscilloscope

Go Oscilloscope Imposed Rise Time = sqrt((Oscilloscope Rise Time^2)-(Oscilloscope Display Rise Time^2))

Rise Time of Oscilloscope

Go Oscilloscope Rise Time = sqrt((Oscilloscope Display Rise Time^2)+(Oscilloscope Imposed Rise Time^2))

Number of Right Hand Side Peak

Go Number of Right Hand Side Peak = (Horizontal Frequency*Number of Positive Peak)/Vertical Frequency

Number of Positive Peak

Go Number of Positive Peak = (Vertical Frequency*Number of Right Hand Side Peak)/Horizontal Frequency

Vertical Frequency

Go Vertical Frequency = (Horizontal Frequency*Number of Positive Peak)/Number of Right Hand Side Peak

Oscillation Time Period

Go Oscillation Time Period = Output Time Period/(Modulus Number of Counter^Number of Counter)

Output Time Period

Go Output Time Period = Oscillation Time Period*(Modulus Number of Counter^Number of Counter)

Unknown Frequency using Lissajous Figures

Go Unknown Frequency = Known Frequency*Horizontal Tangencies/Vertical Tangencies

Deflection on Screen

Go Deflection on Screen = Magnetic Deflection Sensitivity/Electric Potential Difference

Time Per Division of Oscilloscope

Go Time per Division = Progressive Wave Time Period/Horizontal Division per Cycle

Time Period of Waveform

Go Progressive Wave Time Period = Horizontal Division per Cycle*Time per Division

Deflection Sensitivity

Go Magnetic Deflection Sensitivity = Deflection on Screen*Potential Difference

Phase Difference between Two Sine Wave

Go Phase Difference = Phase Difference in Division*Degree per Division

Phase Difference in Division

Go Phase Difference in Division = Phase Difference/Degree per Division

Degree Per Division

Go Degree per Division = Phase Difference/Phase Difference in Division

Vertical Peak to Peak Division

Go Vertical Peak to Peak Division = Peak Voltage/Voltage per Division

Pulse Width of Oscilloscope

Go Oscilloscope Pulse Width = 2.2*Resistance*Oscillator Capacitance

Number of Gaps in Circle

Go Number of Circle Gaps = Ratio of Modulating Frequency*Length

Time Constant of Oscilloscope

Go Time Constant = Resistance*Capacitance

Deflection Factor

Go Deflection Factor = 1/Deflection Sensitivity

Unknown Frequency using Lissajous Figures Formula

Unknown Frequency = Known Frequency*Horizontal Tangencies/Vertical Tangencies
f = f_x*H/v

What are Lissajous figures ?

Lissajous figures, also known as Lissajous patterns or Lissajous curves, are graphical representations of the relationship between two sinusoidal signals with different frequencies and phases.

How to Calculate Unknown Frequency using Lissajous Figures?

Unknown Frequency using Lissajous Figures calculator uses Unknown Frequency = Known Frequency*Horizontal Tangencies/Vertical Tangencies to calculate the Unknown Frequency, Unknown Frequency using Lissajous Figures analyze the relation between two sinusoidal signal applied to both horizontal and vertical deflection plates of oscilloscope. Unknown Frequency is denoted by f symbol.

How to calculate Unknown Frequency using Lissajous Figures using this online calculator? To use this online calculator for Unknown Frequency using Lissajous Figures, enter Known Frequency (f_x), Horizontal Tangencies (H) & Vertical Tangencies (v) and hit the calculate button. Here is how the Unknown Frequency using Lissajous Figures calculation can be explained with given input values -> 15 = 15*12/11.

FAQ

What is Unknown Frequency using Lissajous Figures?

Unknown Frequency using Lissajous Figures analyze the relation between two sinusoidal signal applied to both horizontal and vertical deflection plates of oscilloscope and is represented as f = f_x*H/v or Unknown Frequency = Known Frequency*Horizontal Tangencies/Vertical Tangencies. Known Frequency is the input signals of various frequencies based on your specific application or measurement requirements. The oscilloscope then displays the waveform of the input signal, Horizontal Tangencies refers to a condition or situation in an oscilloscope where the waveform being displayed touches or is tangent to the horizontal axis & Vertical Tangencies refer to a situation in an oscilloscope or graph where the waveform being displayed touches or is tangent to the vertical axis.

How to calculate Unknown Frequency using Lissajous Figures?

Unknown Frequency using Lissajous Figures analyze the relation between two sinusoidal signal applied to both horizontal and vertical deflection plates of oscilloscope is calculated using Unknown Frequency = Known Frequency*Horizontal Tangencies/Vertical Tangencies. To calculate Unknown Frequency using Lissajous Figures, you need Known Frequency (f_x), Horizontal Tangencies (H) & Vertical Tangencies (v). With our tool, you need to enter the respective value for Known Frequency, Horizontal Tangencies & Vertical Tangencies and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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