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Normalized Wavenumber Formula

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The Normalized Wavenumber typically refers to a dimensionless quantity that characterizes the propagation of electromagnetic waves along the microstrip structure. Check FAQs

F n = \frac{8.791 \cdot 10^{9}}{f res \cdot \sqrt{E r}}

F_n - Normalized Wavenumber?f_res - Frequency?E_r - Dielectric Constant of Substrate?

Normalized Wavenumber Example

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Here is how the Normalized Wavenumber equation looks like with Values.

Here is how the Normalized Wavenumber equation looks like with Units.

Here is how the Normalized Wavenumber equation looks like.

1.7462 = \frac{8.791 \cdot 10^{9}}{2.4 \cdot \sqrt{4.4}}

1.7462 = \frac{8.791 \cdot 10^{9}}{2.4GHz \cdot \sqrt{4.4}}

1.7462 = \frac{8.791 \cdot 10^{9}}{2.4 \cdot \sqrt{4.4}}

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Normalized Wavenumber Solution

Follow our step by step solution on how to calculate Normalized Wavenumber?

FIRST Step Consider the formula

F n = \frac{8.791 \cdot 10^{9}}{f res \cdot \sqrt{E r}}

Next Step Substitute values of Variables

∴

F n = \frac{8.791 \cdot 10^{9}}{2.4GHz \cdot \sqrt{4.4}}

Next Step Convert Units

∴

F n = \frac{8.791 \cdot 10^{9}}{2.4E+9Hz \cdot \sqrt{4.4}}

Next Step Prepare to Evaluate

∴

F n = \frac{8.791 \cdot 10^{9}}{2.4E+9 \cdot \sqrt{4.4}}

Next Step Evaluate

∴

F n = 1.74622700459542

LAST Step Rounding Answer

∴

F n = 1.7462

Normalized Wavenumber Formula Elements

Variables

Functions

Normalized Wavenumber

The Normalized Wavenumber typically refers to a dimensionless quantity that characterizes the propagation of electromagnetic waves along the microstrip structure.

Symbol: F_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Normalized Wavenumber

Frequency

Frequency refers to the number of waves that pass a fixed point in unit time.

Symbol: f_res

Measurement: FrequencyUnit: GHz

Note: Value should be greater than 0.

Formulas to find Frequency

Dielectric Constant of Substrate

The Dielectric Constant of Substrate measures the amount that the material's electric field is lowered in relation to its value in a vacuum.

Symbol: E_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dielectric Constant of Substrate

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 Microstrip Antenna category

Go Width of Microstrip Patch

W p = \frac{[c]}{2 \cdot f res \cdot (\sqrt{\frac{E r + 1}{2}})}

Go Effective Dielectric Constant of Substrate

E eff = \frac{E r + 1}{2} + (\frac{E r - 1}{2}) \cdot (\frac{1}{\sqrt{1 + 12 \cdot (\frac{h}{W p})}})

Go Effective Length of Patch

L eff = \frac{[c]}{2 \cdot f res \cdot (\sqrt{E eff})}

Go Length Extention of Patch

ΔL = 0.412 \cdot h \cdot (\frac{(E eff + 0.3) \cdot (\frac{W p}{h} + 0.264)}{(E eff - 0.264) \cdot (\frac{W p}{h} + 0.8)})

How to Evaluate Normalized Wavenumber?

Normalized Wavenumber evaluator uses Normalized Wavenumber = (8.791*10^9)/(Frequency*sqrt(Dielectric Constant of Substrate)) to evaluate the Normalized Wavenumber, The Normalized Wavenumber in microstrip, denoted as F_normalized , represents the dimensionless ratio of guided wave wavenumber to free-space wavenumber, aiding in the analysis and design of microstrip transmission lines at different frequencies and substrate materials. Normalized Wavenumber is denoted by F_n symbol.

How to evaluate Normalized Wavenumber using this online evaluator? To use this online evaluator for Normalized Wavenumber, enter Frequency (f_res) & Dielectric Constant of Substrate (E_r) and hit the calculate button.

FAQs on Normalized Wavenumber

What is the formula to find Normalized Wavenumber?

The formula of Normalized Wavenumber is expressed as Normalized Wavenumber = (8.791*10^9)/(Frequency*sqrt(Dielectric Constant of Substrate)). Here is an example- 1.746227 = (8.791*10^9)/(2400000000*sqrt(4.4)).

How to calculate Normalized Wavenumber?

With Frequency (f_res) & Dielectric Constant of Substrate (E_r) we can find Normalized Wavenumber using the formula - Normalized Wavenumber = (8.791*10^9)/(Frequency*sqrt(Dielectric Constant of Substrate)). This formula also uses Square Root (sqrt) function(s).

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Normalized Wavenumber Formula

Normalized Wavenumber Example

Normalized Wavenumber Solution

Normalized Wavenumber Formula Elements

Other formulas in Microstrip Antenna category

How to Evaluate Normalized Wavenumber?

FAQs on Normalized Wavenumber

Variable Name