Wavelength for TEmn Modes Calculator

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✖Wavelength is defined as of a wave or periodic function is the distance over which the wave's shape repeats.ⓘ Wavelength [λ]			+10% -10%
✖Cut-off Frequency of rectangular waveguide defines wave propagation modes in the rectangular waveguide, and this frequency is dependent on the dimensions of the waveguide.ⓘ Cut-off Frequency [f_c]			+10% -10%
✖Frequency the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion in a waveguide.ⓘ Frequency [f]			+10% -10%

✖Wavelength for TEmn Modes of a waveguide in a TEmn modes or periodic function is the distance over which the wave's shape repeats.ⓘ Wavelength for TEmn Modes [λ_mn]

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Wavelength for TEmn Modes

Formula

`"λ"_{"mn"} = ("λ")/(sqrt(1-("f"_{"c"}/"f")^2))`

Example

`"10.01224m"=("10m")/(sqrt(1-("2.72Hz"/"55.02Hz")^2))`

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Wavelength for TEmn Modes Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))
λ_mn = (λ)/(sqrt(1-(f_c/f)^2))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wavelength for TEmn modes - (Measured in Meter) - Wavelength for TEmn Modes of a waveguide in a TEmn modes or periodic function is the distance over which the wave's shape repeats.
Wavelength - (Measured in Meter) - Wavelength is defined as of a wave or periodic function is the distance over which the wave's shape repeats.
Cut-off Frequency - (Measured in Hertz) - Cut-off Frequency of rectangular waveguide defines wave propagation modes in the rectangular waveguide, and this frequency is dependent on the dimensions of the waveguide.
Frequency - (Measured in Hertz) - Frequency the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion in a waveguide.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 10 Meter --> 10 Meter No Conversion Required
Cut-off Frequency: 2.72 Hertz --> 2.72 Hertz No Conversion Required
Frequency: 55.02 Hertz --> 55.02 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_mn = (λ)/(sqrt(1-(f_c/f)^2)) --> (10)/(sqrt(1-(2.72/55.02)^2))

Evaluating ... ...

λ_mn = 10.0122423160406

STEP 3: Convert Result to Output's Unit

10.0122423160406 Meter --> No Conversion Required

FINAL ANSWER

10.0122423160406 ≈ 10.01224 Meter <-- Wavelength for TEmn modes

(Calculation completed in 00.004 seconds)

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Dayananda Sagar University (DSU), Bengaluru, Karnataka, India-560100

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< 17 Microwave Devices Calculators

Propagation Constant

Go Propagation Constant = Angular Frequency*(sqrt(Magnetic Permeability*Dielectric Permittivity))*(sqrt(1-((Cut-off Frequency/Frequency)^2)))

Attenuation for TEmn mode

Go Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))

Attenuation for TMmn mode

Go Attenuation for the TMmn mode = ((Conductivity*Intrinsic Impedance)/2)*sqrt(1-(Cut-off Frequency/Frequency)^2)

Cut-off Frequency of Rectangular Waveguide

Go Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number

Surface Resistance of Guide Walls

Go Surface Resistance = sqrt((pi*Frequency*Magnetic Permeability)/(Conductivity))

Power Density of Spherical Wave

Go Power Density = (Power Transmitted*Transmitting Gain)/(4*pi*Distance between Antennas)

Wavelength for TEmn Modes

Go Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))

Force Exerted on Particle

Go Force Exerted on Particle = (Charge of a Particle*Velocity of a Charged Particle)*Magnetic Flux Density

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode

Go Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)

Cut-off Frequency of Circular Waveguide in Transverse Magnetic 01 Mode

Go Cut-off Frequency Circular Waveguide TM01 = ([c]*2.405)/(2*pi*Radius of Circular Waveguide)

Characteristic Wave Impedance

Go Characteristic Wave Impedance = (Angular Frequency*Magnetic Permeability)/(Phase Constant)

Quality Factor

Go Quality Factor = (Angular Frequency*Maximum Stored Energy)/(Average Power Loss)

Maximum Stored Energy

Go Maximum Stored Energy = (Quality Factor*Average Power Loss)/Angular Frequency

Power Received by Antenna

Go Power Received by Antenna = Power Density of Antenna*Effective Area Antenna

Power Losses for TEM Mode

Go Power Losses for the TEM Mode = 2*Attenuation Constant*Transmitting Power

Critical Frequency for Vertical Incidence

Go Critical Frequency = 9*sqrt(Maximum Electron Density)

Phase Velocity of Rectangular Waveguide

Go Phase Velocity = Angular Frequency/Phase Constant

Wavelength for TEmn Modes Formula

Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2))
λ_mn = (λ)/(sqrt(1-(f_c/f)^2))

What are TE modes in a rectangular waveguide?

The fields in a rectangular waveguide consist of a number of propagating modes which depends on the electrical dimensions of the waveguide. These modes are broadly classified as either transverse magnetic (TM) or transverse electric (TE).

How to Calculate Wavelength for TEmn Modes?

Wavelength for TEmn Modes calculator uses Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2)) to calculate the Wavelength for TEmn modes, The Wavelength for TEmn Modes formula is defined as the distance over which the wave's shape repeats. Wavelength for TEmn modes is denoted by λ_mn symbol.

How to calculate Wavelength for TEmn Modes using this online calculator? To use this online calculator for Wavelength for TEmn Modes, enter Wavelength (λ), Cut-off Frequency (f_c) & Frequency (f) and hit the calculate button. Here is how the Wavelength for TEmn Modes calculation can be explained with given input values -> 10.12474 = (10)/(sqrt(1-(2.72/55.02)^2)).

FAQ

What is Wavelength for TEmn Modes?

The Wavelength for TEmn Modes formula is defined as the distance over which the wave's shape repeats and is represented as λ_mn = (λ)/(sqrt(1-(f_c/f)^2)) or Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2)). Wavelength is defined as of a wave or periodic function is the distance over which the wave's shape repeats, Cut-off Frequency of rectangular waveguide defines wave propagation modes in the rectangular waveguide, and this frequency is dependent on the dimensions of the waveguide & Frequency the number of waves that pass a fixed point in unit time; also, the number of cycles or vibrations undergone during one unit of time by a body in periodic motion in a waveguide.

How to calculate Wavelength for TEmn Modes?

The Wavelength for TEmn Modes formula is defined as the distance over which the wave's shape repeats is calculated using Wavelength for TEmn modes = (Wavelength)/(sqrt(1-(Cut-off Frequency/Frequency)^2)). To calculate Wavelength for TEmn Modes, you need Wavelength (λ), Cut-off Frequency (f_c) & Frequency (f). With our tool, you need to enter the respective value for Wavelength, Cut-off Frequency & Frequency 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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