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Cut-off Frequency of Rectangular Waveguide Calculator

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✖Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field.ⓘ Magnetic Permeability [μ]			+10% -10%
✖Dielectric Permittivity is a diagnostic physical property which characterizes the degree of electrical polarization a material experiences under the influence of an external electric field.ⓘ Dielectric Permittivity [ε]			+10% -10%
✖Cut-off Wave Number depends on the geometry of the waveguide. where a, b are the dimensions of the waveguide and n, m are the mode numbers.ⓘ Cut-off Wave Number [K_c]			+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 of Rectangular Waveguide [f_c]

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Cut-off Frequency of Rectangular Waveguide Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number
f_c = (1/(2*pi*sqrt(μ*ε)))*K_c
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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

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.
Magnetic Permeability - (Measured in Henry per Meter) - Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field.
Dielectric Permittivity - (Measured in Farad per Meter) - Dielectric Permittivity is a diagnostic physical property which characterizes the degree of electrical polarization a material experiences under the influence of an external electric field.
Cut-off Wave Number - (Measured in Radian per Meter) - Cut-off Wave Number depends on the geometry of the waveguide. where a, b are the dimensions of the waveguide and n, m are the mode numbers.

STEP 1: Convert Input(s) to Base Unit

Magnetic Permeability: 1.3 Henry per Meter --> 1.3 Henry per Meter No Conversion Required
Dielectric Permittivity: 5.56 Farad per Meter --> 5.56 Farad per Meter No Conversion Required
Cut-off Wave Number: 46 Radian per Meter --> 46 Radian per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_c = (1/(2*pi*sqrt(μ*ε)))*K_c --> (1/(2*pi*sqrt(1.3*5.56)))*46

Evaluating ... ...

f_c = 2.72313323971268

STEP 3: Convert Result to Output's Unit

2.72313323971268 Hertz --> No Conversion Required

FINAL ANSWER

2.72313323971268 ≈ 2.723133 Hertz <-- Cut-off Frequency

(Calculation completed in 00.004 seconds)

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Cut-off Frequency of Rectangular Waveguide Formula

LaTeX Go

Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number
f_c = (1/(2*pi*sqrt(μ*ε)))*K_c

Which mode of propagation has the lowest cut-off frequency?

The mode of propagation with the lowest cut-off frequency is called dominant mode and TE10 corresponds to the lowest cut-off frequency in the rectangular waveguide.

How to Calculate Cut-off Frequency of Rectangular Waveguide?

Cut-off Frequency of Rectangular Waveguide calculator uses Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number to calculate the Cut-off Frequency, 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 is denoted by f_c symbol.

How to calculate Cut-off Frequency of Rectangular Waveguide using this online calculator? To use this online calculator for Cut-off Frequency of Rectangular Waveguide, enter Magnetic Permeability (μ), Dielectric Permittivity (ε) & Cut-off Wave Number (K_c) and hit the calculate button. Here is how the Cut-off Frequency of Rectangular Waveguide calculation can be explained with given input values -> 2.723133 = (1/(2*pi*sqrt(1.3*5.56)))*46.

FAQ

What is Cut-off Frequency of Rectangular Waveguide?

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 and is represented as f_c = (1/(2*pi*sqrt(μ*ε)))*K_c or Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number. Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field, Dielectric Permittivity is a diagnostic physical property which characterizes the degree of electrical polarization a material experiences under the influence of an external electric field & Cut-off Wave Number depends on the geometry of the waveguide. where a, b are the dimensions of the waveguide and n, m are the mode numbers.

How to calculate Cut-off Frequency of Rectangular Waveguide?

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 is calculated using Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number. To calculate Cut-off Frequency of Rectangular Waveguide, you need Magnetic Permeability (μ), Dielectric Permittivity (ε) & Cut-off Wave Number (K_c). With our tool, you need to enter the respective value for Magnetic Permeability, Dielectric Permittivity & Cut-off Wave Number 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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