Attenuation for TEmn mode Calculator

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✖Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m).ⓘ Conductivity [σ]			+10% -10%
✖Intrinsic impedance describes the magnitude of the magnetic and electric fields present in the free space.ⓘ Intrinsic Impedance [η]			+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%

✖Attenuation for the TEmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal.ⓘ Attenuation for TEmn mode [α_TE]

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Attenuation for TEmn mode

Formula

`"α"_{"TE"} = ("σ"*"η")/(2*sqrt(1-(("f"_{"c"})/("f"))^2))`

Example

`"7.609304dB/m"=("0.1S/m"*"0.152kΩ")/(2*sqrt(1-(("2.72Hz")/("55.02Hz"))^2))`

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Attenuation for TEmn mode Solution

STEP 0: Pre-Calculation Summary

Formula Used

Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))
α_TE = (σ*η)/(2*sqrt(1-((f_c)/(f))^2))
This formula uses 1 Functions, 5 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

Attenuation for the TEmn mode - (Measured in Decibel per Meter) - Attenuation for the TEmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal.
Conductivity - (Measured in Siemens per Meter) - Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m).
Intrinsic Impedance - (Measured in Ohm) - Intrinsic impedance describes the magnitude of the magnetic and electric fields present in the free space.
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

Conductivity: 0.1 Siemens per Meter --> 0.1 Siemens per Meter No Conversion Required
Intrinsic Impedance: 0.152 Kilohm --> 152 Ohm (Check conversion here)
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

α_TE = (σ*η)/(2*sqrt(1-((f_c)/(f))^2)) --> (0.1*152)/(2*sqrt(1-((2.72)/(55.02))^2))

Evaluating ... ...

α_TE = 7.60930416019089

STEP 3: Convert Result to Output's Unit

7.60930416019089 Decibel per Meter --> No Conversion Required

FINAL ANSWER

7.60930416019089 ≈ 7.609304 Decibel per Meter <-- Attenuation for the TEmn mode

(Calculation completed in 00.004 seconds)

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Created by Sai Sudha Vani Priya Lanka

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

Attenuation for TEmn mode Formula

Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2))
α_TE = (σ*η)/(2*sqrt(1-((f_c)/(f))^2))

What is TEM mode of propagation?

The TEM mode of propagation is the mode of propagation in coaxial lines, two-open-wire lines, stripline transmission lines, and parallel plate lines. In a non-dispersive medium with TEM propagation, the characteristic impedance and phase velocity remain constant. However, multiple dielectrics in coax and striplines lead to non-pure TEM modes.

How to Calculate Attenuation for TEmn mode?

Attenuation for TEmn mode calculator uses Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2)) to calculate the Attenuation for the TEmn mode, Attenuation for TEmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal as it travels through a medium. Attenuation can be caused by transmission loss, reflection, or absorption. Attenuation for the TEmn mode is denoted by α_TE symbol.

How to calculate Attenuation for TEmn mode using this online calculator? To use this online calculator for Attenuation for TEmn mode, enter Conductivity (σ), Intrinsic Impedance (η), Cut-off Frequency (f_c) & Frequency (f) and hit the calculate button. Here is how the Attenuation for TEmn mode calculation can be explained with given input values -> 7.694802 = (0.1*152)/(2*sqrt(1-((2.72)/(55.02))^2)).

FAQ

What is Attenuation for TEmn mode?

Attenuation for TEmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal as it travels through a medium. Attenuation can be caused by transmission loss, reflection, or absorption and is represented as α_TE = (σ*η)/(2*sqrt(1-((f_c)/(f))^2)) or Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2)). Conductivity (or specific conductance) of an electrolyte solution is a measure of its ability to conduct electricity. The SI unit of conductivity is siemens per meter (S/m), Intrinsic impedance describes the magnitude of the magnetic and electric fields present in the free space, 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 Attenuation for TEmn mode?

Attenuation for TEmn mode is the attenuation calculated in the rectangular waveguide for the TEmn mode. Attenuation is defined as the reduction in the amplitude of a signal as it travels through a medium. Attenuation can be caused by transmission loss, reflection, or absorption is calculated using Attenuation for the TEmn mode = (Conductivity*Intrinsic Impedance)/(2*sqrt(1-((Cut-off Frequency)/(Frequency))^2)). To calculate Attenuation for TEmn mode, you need Conductivity (σ), Intrinsic Impedance (η), Cut-off Frequency (f_c) & Frequency (f). With our tool, you need to enter the respective value for Conductivity, Intrinsic Impedance, 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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