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Resonating Frequency of Equilateral Triangular Patch Formula

GoResonating Frequency of Microstrip Antenna Formula

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The Resonant Frequency is the specific frequency at which an antenna naturally oscillates most efficiently. It maximizes electromagnetic wave interaction, crucial for optimal antenna performance. Check FAQs

f r = 2 \cdot \frac{[c]}{3 \cdot S tng \cdot \sqrt{E r}}

f_r - Resonant Frequency?S_tng - Side Length of Equilateral Triangular Patch?E_r - Dielectric Constant of Substrate?[c] - Light speed in vacuum?

Resonating Frequency of Equilateral Triangular Patch Example

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Here is how the Resonating Frequency of Equilateral Triangular Patch equation looks like with Values.

Here is how the Resonating Frequency of Equilateral Triangular Patch equation looks like with Units.

Here is how the Resonating Frequency of Equilateral Triangular Patch equation looks like.

2.3983 = 2 \cdot \frac{3E+8}{3 \cdot 39.7276 \cdot \sqrt{4.4}}

2.3983GHz = 2 \cdot \frac{3E+8m/s}{3 \cdot 39.7276mm \cdot \sqrt{4.4}}

2.3983 = 2 \cdot \frac{3E+8}{3 \cdot 39.7276 \cdot \sqrt{4.4}}

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Resonating Frequency of Equilateral Triangular Patch Solution

Follow our step by step solution on how to calculate Resonating Frequency of Equilateral Triangular Patch?

FIRST Step Consider the formula

f r = 2 \cdot \frac{[c]}{3 \cdot S tng \cdot \sqrt{E r}}

Next Step Substitute values of Variables

∴

f r = 2 \cdot \frac{[c]}{3 \cdot 39.7276mm \cdot \sqrt{4.4}}

Next Step Substitute values of Constants

∴

f r = 2 \cdot \frac{3E+8m/s}{3 \cdot 39.7276mm \cdot \sqrt{4.4}}

Next Step Convert Units

∴

f r = 2 \cdot \frac{3E+8m/s}{3 \cdot 0.0397m \cdot \sqrt{4.4}}

Next Step Prepare to Evaluate

∴

f r = 2 \cdot \frac{3E+8}{3 \cdot 0.0397 \cdot \sqrt{4.4}}

Next Step Evaluate

∴

f r = 2398340140.02843Hz

Next Step Convert to Output's Unit

∴

f r = 2.39834014002843GHz

LAST Step Rounding Answer

∴

f r = 2.3983GHz

Resonating Frequency of Equilateral Triangular Patch Formula Elements

Variables

Constants

Functions

Resonant Frequency

The Resonant Frequency is the specific frequency at which an antenna naturally oscillates most efficiently. It maximizes electromagnetic wave interaction, crucial for optimal antenna performance.

Symbol: f_r

Measurement: FrequencyUnit: GHz

Note: Value can be positive or negative.

Formulas to find Resonant Frequency

Side Length of Equilateral Triangular Patch

The Side Length of Equilateral Triangular Patch defines the dimensional parameter of the triangle if we know one side, all other two sides will be the same.

Symbol: S_tng

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Side Length of Equilateral Triangular Patch

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

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

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 to find Resonant Frequency

Go Resonating Frequency of Microstrip Antenna

f r = \frac{[c]}{2 \cdot L eff \cdot \sqrt{E eff}}

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 Resonating Frequency of Equilateral Triangular Patch?

Resonating Frequency of Equilateral Triangular Patch evaluator uses Resonant Frequency = 2*[c]/(3*Side Length of Equilateral Triangular Patch*sqrt(Dielectric Constant of Substrate)) to evaluate the Resonant Frequency, The Resonating Frequency of Equilateral Triangular Patch is the frequency at which the antenna is most efficient in radiating or receiving electromagnetic waves. Resonant Frequency is denoted by f_r symbol.

How to evaluate Resonating Frequency of Equilateral Triangular Patch using this online evaluator? To use this online evaluator for Resonating Frequency of Equilateral Triangular Patch, enter Side Length of Equilateral Triangular Patch (S_tng) & Dielectric Constant of Substrate (E_r) and hit the calculate button.

FAQs on Resonating Frequency of Equilateral Triangular Patch

What is the formula to find Resonating Frequency of Equilateral Triangular Patch?

The formula of Resonating Frequency of Equilateral Triangular Patch is expressed as Resonant Frequency = 2*[c]/(3*Side Length of Equilateral Triangular Patch*sqrt(Dielectric Constant of Substrate)). Here is an example- 2.4E-9 = 2*[c]/(3*0.0397276*sqrt(4.4)).

How to calculate Resonating Frequency of Equilateral Triangular Patch?

With Side Length of Equilateral Triangular Patch (S_tng) & Dielectric Constant of Substrate (E_r) we can find Resonating Frequency of Equilateral Triangular Patch using the formula - Resonant Frequency = 2*[c]/(3*Side Length of Equilateral Triangular Patch*sqrt(Dielectric Constant of Substrate)). This formula also uses Light speed in vacuum constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Resonant Frequency?

Here are the different ways to Calculate Resonant Frequency-

Resonant Frequency=[c]/(2*Effective Length of Microstrip Patch*sqrt(Effective Dielectric Constant of Substrate))

Can the Resonating Frequency of Equilateral Triangular Patch be negative?

Yes, the Resonating Frequency of Equilateral Triangular Patch, measured in Frequency can be negative.

Which unit is used to measure Resonating Frequency of Equilateral Triangular Patch?

Resonating Frequency of Equilateral Triangular Patch is usually measured using the Gigahertz[GHz] for Frequency. Hertz[GHz], Petahertz[GHz], Terahertz[GHz] are the few other units in which Resonating Frequency of Equilateral Triangular Patch can be measured.

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