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

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✖The Radius of Circular Waveguide typically refers to the physical radius of a circular waveguide, which is a type of transmission line used for guiding electromagnetic waves.ⓘ Radius of Circular Waveguide [R_circular]

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✖The Cut-off Frequency Circular Waveguide TE11 mode refers to the lowest frequency at which this particular mode can propagate through the waveguide.ⓘ Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode [f_c,TE11]

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

Formula

`"f"_{"c,TE11"} = ("[c]"*1.841)/(2*pi*"R"_{"circular"})`

Example

`"878.4046MHz"=("[c]"*1.841)/(2*pi*"10cm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide)
f_c,TE11 = ([c]*1.841)/(2*pi*R_circular)
This formula uses 2 Constants, 2 Variables

Constants Used

[c] - Light speed in vacuum Value Taken As 299792458.0
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Cut-off Frequency Circular Waveguide TE11 - (Measured in Hertz) - The Cut-off Frequency Circular Waveguide TE11 mode refers to the lowest frequency at which this particular mode can propagate through the waveguide.
Radius of Circular Waveguide - (Measured in Meter) - The Radius of Circular Waveguide typically refers to the physical radius of a circular waveguide, which is a type of transmission line used for guiding electromagnetic waves.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Waveguide: 10 Centimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_c,TE11 = ([c]*1.841)/(2*pi*R_circular) --> ([c]*1.841)/(2*pi*0.1)

Evaluating ... ...

f_c,TE11 = 878404643.815521

STEP 3: Convert Result to Output's Unit

878404643.815521 Hertz -->878.404643815521 Megahertz (Check conversion here)

FINAL ANSWER

878.404643815521 ≈ 878.4046 Megahertz <-- Cut-off Frequency Circular Waveguide TE11

(Calculation completed in 00.004 seconds)

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Credits

Created by Souradeep Dey

National Institute of Technology Agartala (NITA), Agartala, Tripura

Souradeep Dey has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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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

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

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

What is the significance of cut-off frequency of circular waveguide in transverse electric 11 mode ?

The TE11 mode cut-off frequency in a circular waveguide is important since it is a key parameter that affects waveguide behavior. The lower bound for the TE11 mode's effective propagation is indicated by this frequency. Identifying and managing the cut-off frequency is essential for creating waveguides for uses such as microwave communication. It directs us in choosing the right proportions to guarantee the best possible signal transmission. The cut-off frequency is a crucial factor in the design and development of electromagnetic wave-based technologies since it fundamentally dictates the waveguide's performance characteristics and operational range.

How to Calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode?

Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode calculator uses Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide) to calculate the Cut-off Frequency Circular Waveguide TE11, The Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode is the lowest frequency supporting this fundamental mode, vital for designing effective communication systems. Cut-off Frequency Circular Waveguide TE11 is denoted by f_c,TE11 symbol.

How to calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode using this online calculator? To use this online calculator for Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode, enter Radius of Circular Waveguide (R_circular) and hit the calculate button. Here is how the Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode calculation can be explained with given input values -> 0.000878 = ([c]*1.841)/(2*pi*0.1).

FAQ

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

The Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode is the lowest frequency supporting this fundamental mode, vital for designing effective communication systems and is represented as f_c,TE11 = ([c]*1.841)/(2*pi*R_circular) or Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide). The Radius of Circular Waveguide typically refers to the physical radius of a circular waveguide, which is a type of transmission line used for guiding electromagnetic waves.

How to calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode?

The Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode is the lowest frequency supporting this fundamental mode, vital for designing effective communication systems is calculated using Cut-off Frequency Circular Waveguide TE11 = ([c]*1.841)/(2*pi*Radius of Circular Waveguide). To calculate Cut-off Frequency of Circular Waveguide in Transverse Electric 11 Mode, you need Radius of Circular Waveguide (R_circular). With our tool, you need to enter the respective value for Radius of Circular Waveguide 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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