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]			+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_x]

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Formula

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Unknown Frequency using Lissajous Figures

Formula

`"f"_{"x"} = ("F"*"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_x = (F*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_x = (F*H)/v --> (15*12)/11

Evaluating ... ...

f_x = 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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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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< 25 Oscilloscope Calculators

Modulus Number of Counter

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

Display Rise Time of Oscilloscope

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

Rise Time Imposed by Oscilloscope

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

Rise Time of Oscilloscope

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

Number of Right Hand Side Peak

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

Number of Positive Peak

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

Vertical Frequency

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

Oscillation Time Period

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

Output Time Period

Go Output Time Period = Oscillation Time Period*Counter Modulus Number^Counter Number

Unknown Frequency using Lissajous Figures

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

Time Per Division of Oscilloscope

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

Horizontal Division Per Cycle

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

Time Period of Waveform

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

Deflection Sensitivity

Go Deflection Sensitivity = Deflection on Screen*Electric Potential Difference

Deflection on Screen

Go Deflection on Screen = Deflection Sensitivity/Electric 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

Peak to Peak Voltage of Waveform

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

Vertical Peak to Peak Division

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

Number of Gaps in Circle

Go Gaps Number in Circle = Modulating Frequency Ratio*Length

Length of Oscilloscope

Go Length = Gaps Number in Circle/Modulating Frequency Ratio

Pulse Width of Oscilloscope

Go Oscilloscope Pulse Width = 2.2*Resistance*Capacitance

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_x = (F*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, The Unknown Frequency using Lissajous Figures formula is defined as the to analyze the relation between two sinusoidal signals applied to both horizontal and vertical deflection plates of oscilloscope. Unknown Frequency is denoted by f_x 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), 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 -> 16.36364 = (15*12)/11.

FAQ

What is Unknown Frequency using Lissajous Figures?

The Unknown Frequency using Lissajous Figures formula is defined as the to analyze the relation between two sinusoidal signals applied to both horizontal and vertical deflection plates of oscilloscope and is represented as f_x = (F*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?

The Unknown Frequency using Lissajous Figures formula is defined as the to analyze the relation between two sinusoidal signals 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), 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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