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Cut-off Frequency of Rectangular Waveguide Formula

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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. Check FAQs

f c = (\frac{1}{2 \cdot π \cdot \sqrt{μ \cdot ε}}) \cdot K c

f_c - Cut-off Frequency?μ - Magnetic Permeability?ε - Dielectric Permittivity?K_c - Cut-off Wave Number?π - Archimedes' constant?

Cut-off Frequency of Rectangular Waveguide Example

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Here is how the Cut-off Frequency of Rectangular Waveguide equation looks like with Values.

Here is how the Cut-off Frequency of Rectangular Waveguide equation looks like with Units.

Here is how the Cut-off Frequency of Rectangular Waveguide equation looks like.

2.7231 = (\frac{1}{2 \cdot 3.1416 \cdot \sqrt{1.3 \cdot 5.56}}) \cdot 46

2.7231Hz = (\frac{1}{2 \cdot 3.1416 \cdot \sqrt{1.3H/m \cdot 5.56F/m}}) \cdot 46rad/m

2.7231 = (\frac{1}{2 \cdot 3.1416 \cdot \sqrt{1.3 \cdot 5.56}}) \cdot 46

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Cut-off Frequency of Rectangular Waveguide Solution

Follow our step by step solution on how to calculate Cut-off Frequency of Rectangular Waveguide?

FIRST Step Consider the formula

f c = (\frac{1}{2 \cdot π \cdot \sqrt{μ \cdot ε}}) \cdot K c

Next Step Substitute values of Variables

∴

f c = (\frac{1}{2 \cdot π \cdot \sqrt{1.3H/m \cdot 5.56F/m}}) \cdot 46rad/m

Next Step Substitute values of Constants

∴

f c = (\frac{1}{2 \cdot 3.1416 \cdot \sqrt{1.3H/m \cdot 5.56F/m}}) \cdot 46rad/m

Next Step Prepare to Evaluate

∴

f c = (\frac{1}{2 \cdot 3.1416 \cdot \sqrt{1.3 \cdot 5.56}}) \cdot 46

Next Step Evaluate

∴

f c = 2.72313323971268Hz

LAST Step Rounding Answer

∴

f c = 2.7231Hz

Cut-off Frequency of Rectangular Waveguide Formula Elements

Variables

Constants

Functions

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.

Symbol: f_c

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Cut-off Frequency

Magnetic Permeability

Magnetic Permeability is a property of a magnetic material which supports the formation of a magnetic field.

Symbol: μ

Measurement: Magnetic PermeabilityUnit: H/m

Note: Value should be greater than 0.

Formulas to find Magnetic Permeability

Dielectric Permittivity

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.

Symbol: ε

Measurement: PermittivityUnit: F/m

Note: Value should be greater than 0.

Formulas to find Dielectric Permittivity

Cut-off Wave Number

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.

Symbol: K_c

Measurement: Propagation ConstantUnit: rad/m

Note: Value should be greater than 0.

Formulas to find Cut-off Wave Number

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sqrt(Number)

Other formulas in Microwave Devices category

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Q = \frac{ω 0 \cdot E max}{P avg}

Go Characteristic Wave Impedance

Z = \frac{ω 0 \cdot μ}{β}

How to Evaluate Cut-off Frequency of Rectangular Waveguide?

Cut-off Frequency of Rectangular Waveguide evaluator uses Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number to evaluate 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 evaluate Cut-off Frequency of Rectangular Waveguide using this online evaluator? To use this online evaluator 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.

FAQs on Cut-off Frequency of Rectangular Waveguide

What is the formula to find Cut-off Frequency of Rectangular Waveguide?

The formula of Cut-off Frequency of Rectangular Waveguide is expressed as Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number. Here is an example- 2.723133 = (1/(2*pi*sqrt(1.3*5.56)))*46.

How to calculate Cut-off Frequency of Rectangular Waveguide?

With Magnetic Permeability (μ), Dielectric Permittivity (ε) & Cut-off Wave Number (K_c) we can find Cut-off Frequency of Rectangular Waveguide using the formula - Cut-off Frequency = (1/(2*pi*sqrt(Magnetic Permeability*Dielectric Permittivity)))*Cut-off Wave Number. This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Cut-off Frequency of Rectangular Waveguide be negative?

No, the Cut-off Frequency of Rectangular Waveguide, measured in Frequency cannot be negative.

Which unit is used to measure Cut-off Frequency of Rectangular Waveguide?

Cut-off Frequency of Rectangular Waveguide is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Cut-off Frequency of Rectangular Waveguide can be measured.

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Cut-off Frequency of Rectangular Waveguide Formula

Cut-off Frequency of Rectangular Waveguide Example

Cut-off Frequency of Rectangular Waveguide Solution

Cut-off Frequency of Rectangular Waveguide Formula Elements

Other formulas in Microwave Devices category

How to Evaluate Cut-off Frequency of Rectangular Waveguide?

FAQs on Cut-off Frequency of Rectangular Waveguide

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