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Side Length of Equilateral Triangular Patch Formula

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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. Check FAQs

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

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

Side Length of Equilateral Triangular Patch Example

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Here is how the Side Length of Equilateral Triangular Patch equation looks like with Values.

Here is how the Side Length of Equilateral Triangular Patch equation looks like with Units.

Here is how the Side Length of Equilateral Triangular Patch equation looks like.

39.7001 = 2 \cdot \frac{3E+8}{3 \cdot 2.4 \cdot \sqrt{4.4}}

39.7001mm = 2 \cdot \frac{3E+8m/s}{3 \cdot 2.4GHz \cdot \sqrt{4.4}}

39.7001 = 2 \cdot \frac{3E+8}{3 \cdot 2.4 \cdot \sqrt{4.4}}

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Side Length of Equilateral Triangular Patch Solution

Follow our step by step solution on how to calculate Side Length of Equilateral Triangular Patch?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S tng = 2 \cdot \frac{[c]}{3 \cdot 2.4GHz \cdot \sqrt{4.4}}

Next Step Substitute values of Constants

∴

S tng = 2 \cdot \frac{3E+8m/s}{3 \cdot 2.4GHz \cdot \sqrt{4.4}}

Next Step Convert Units

∴

S tng = 2 \cdot \frac{3E+8m/s}{3 \cdot 2.4E+9Hz \cdot \sqrt{4.4}}

Next Step Prepare to Evaluate

∴

S tng = 2 \cdot \frac{3E+8}{3 \cdot 2.4E+9 \cdot \sqrt{4.4}}

Next Step Evaluate

∴

S tng = 0.0397001240612473m

Next Step Convert to Output's Unit

∴

S tng = 39.7001240612473mm

LAST Step Rounding Answer

∴

S tng = 39.7001mm

Side Length of Equilateral Triangular Patch Formula Elements

Variables

Constants

Functions

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

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

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 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 Side Length of Equilateral Triangular Patch?

Side Length of Equilateral Triangular Patch evaluator uses Side Length of Equilateral Triangular Patch = 2*[c]/(3*Frequency*sqrt(Dielectric Constant of Substrate)) to evaluate the Side Length of Equilateral Triangular Patch, The Side Length of Equilateral Triangular Patch is the distance between any two vertices (corners) of the triangle. In an equilateral triangle, all three sides are of equal length. This means that if you measure the distance from one vertex to any other vertex along the edge of the triangle, that distance is the side length. Side Length of Equilateral Triangular Patch is denoted by S_tng symbol.

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

FAQs on Side Length of Equilateral Triangular Patch

What is the formula to find Side Length of Equilateral Triangular Patch?

The formula of Side Length of Equilateral Triangular Patch is expressed as Side Length of Equilateral Triangular Patch = 2*[c]/(3*Frequency*sqrt(Dielectric Constant of Substrate)). Here is an example- 39700.12 = 2*[c]/(3*2400000000*sqrt(4.4)).

How to calculate Side Length of Equilateral Triangular Patch?

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

Can the Side Length of Equilateral Triangular Patch be negative?

No, the Side Length of Equilateral Triangular Patch, measured in Length cannot be negative.

Which unit is used to measure Side Length of Equilateral Triangular Patch?

Side Length of Equilateral Triangular Patch is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Side Length of Equilateral Triangular Patch can be measured.

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Side Length of Equilateral Triangular Patch Formula

Side Length of Equilateral Triangular Patch Example

Side Length of Equilateral Triangular Patch Solution

Side Length of Equilateral Triangular Patch Formula Elements

Other formulas in Microstrip Antenna category

How to Evaluate Side Length of Equilateral Triangular Patch?

FAQs on Side Length of Equilateral Triangular Patch

Variable Name