Height of Equilateral Triangular Patch Calculator

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Special Antennas

Antenna Theory Parameters

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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.ⓘ Side Length of Equilateral Triangular Patch [S_tng]

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✖The Height of Equilateral Triangular Patch refers to the perpendicular distance from any vertex (corner) to the opposite side.ⓘ Height of Equilateral Triangular Patch [H]

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Formula

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Height of Equilateral Triangular Patch

Formula

`"H" = sqrt("S"_{"tng"}^2-("S"_{"tng"}/2)^2)`

Example

`"34.40511mm"=sqrt(("39.7276mm")^2-("39.7276mm"/2)^2)`

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Height of Equilateral Triangular Patch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Equilateral Triangular Patch = sqrt(Side Length of Equilateral Triangular Patch^2-(Side Length of Equilateral Triangular Patch/2)^2)
H = sqrt(S_tng^2-(S_tng/2)^2)
This formula uses 1 Functions, 2 Variables

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

Height of Equilateral Triangular Patch - (Measured in Meter) - The Height of Equilateral Triangular Patch refers to the perpendicular distance from any vertex (corner) to the opposite side.
Side Length of Equilateral Triangular Patch - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Side Length of Equilateral Triangular Patch: 39.7276 Millimeter --> 0.0397276 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt(S_tng^2-(S_tng/2)^2) --> sqrt(0.0397276^2-(0.0397276/2)^2)

Evaluating ... ...

H = 0.0344051108313867

STEP 3: Convert Result to Output's Unit

0.0344051108313867 Meter -->34.4051108313867 Millimeter (Check conversion here)

FINAL ANSWER

34.4051108313867 ≈ 34.40511 Millimeter <-- Height of Equilateral Triangular Patch

(Calculation completed in 00.004 seconds)

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Credits

Created by Souradeep Dey

National Institute of Technology Agartala (NITA), Agartala, Tripura

Souradeep Dey has created this Calculator and 25+ more calculators!

Verified by Santhosh Yadav

Dayananda Sagar College Of Engineering (DSCE), Banglore

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< 16 Microstrip Antenna Calculators

Effective Radius of Circular Microstrip Patch

Go Effective Radius of Circular Microstrip Patch = Actual Radius of Circular Microstrip Patch*(1+((2*Thickness of Substrate Microstrip)/(pi*Actual Radius of Circular Microstrip Patch*Dielectric Constant of Substrate))*(ln((pi*Actual Radius of Circular Microstrip Patch)/(2*Thickness of Substrate Microstrip)+1.7726)))^0.5

Physical Radius of Circular Microstrip Patch

Go Actual Radius of Circular Microstrip Patch = Normalized Wavenumber/((1+(2*Thickness of Substrate Microstrip/(pi*Normalized Wavenumber*Dielectric Constant of Substrate))*(ln(pi*Normalized Wavenumber/(2*Thickness of Substrate Microstrip)+1.7726)))^(1/2))

Length Extention of Patch

Go Length Extension of Microstrip Patch = 0.412*Thickness of the Substrate*(((Effective Dielectric Constant of Substrate+0.3)*(Width of Microstrip Patch/Thickness of the Substrate+0.264))/((Effective Dielectric Constant of Substrate-0.264)*(Width of Microstrip Patch/Thickness of the Substrate+0.8)))

Effective Dielectric Constant of Substrate

Go Effective Dielectric Constant of Substrate = (Dielectric Constant of Substrate+1)/2+((Dielectric Constant of Substrate-1)/2)*(1/sqrt(1+12*(Thickness of the Substrate/Width of Microstrip Patch)))

Resonating Frequency of Microstrip Antenna

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

Resonating Frequency of Equilateral Triangular Patch

Go Resonant Frequency = 2*[c]/(3*Side Length of Equilateral Triangular Patch*sqrt(Dielectric Constant of Substrate))

Height of Equilateral Triangular Patch

Go Height of Equilateral Triangular Patch = sqrt(Side Length of Equilateral Triangular Patch^2-(Side Length of Equilateral Triangular Patch/2)^2)

Effective Length of Patch

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

Side Length of Equilateral Triangular Patch

Go Side Length of Equilateral Triangular Patch = 2*[c]/(3*Frequency*sqrt(Dielectric Constant of Substrate))

Side Length of Hexagonal Patch

Go Side Length of Hexagonal Patch = (sqrt(2*pi)*Effective Radius of Circular Microstrip Patch)/sqrt(5.1962)

Width of Microstrip Patch

Go Width of Microstrip Patch = [c]/(2*Frequency*(sqrt((Dielectric Constant of Substrate+1)/2)))

Normalized Wavenumber

Go Normalized Wavenumber = (8.791*10^9)/(Frequency*sqrt(Dielectric Constant of Substrate))

Actual Length of Microstrip Patch

Go Actual Length of Microstrip Patch = Effective Length of Microstrip Patch-2*Length Extension of Microstrip Patch

Radiation Resistance of Infinitesimal Dipole

Go Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2

Length of Ground Plate

Go Length of Ground Plate = 6*Thickness of the Substrate+Actual Length of Microstrip Patch

Width of Ground Plate

Go Width of Ground Plate = 6*Thickness of the Substrate+Width of Microstrip Patch

Height of Equilateral Triangular Patch Formula

Height of Equilateral Triangular Patch = sqrt(Side Length of Equilateral Triangular Patch^2-(Side Length of Equilateral Triangular Patch/2)^2)
H = sqrt(S_tng^2-(S_tng/2)^2)

What is the significance height of equilateral triangular patch ?

In antenna design, the height of an equilateral triangle patch microstrip is important since it directly affects important performance parameters. The resonance frequency, radiation pattern, and impedance matching of the microstrip antenna are all affected by height adjustments. In order to meet precise specifications and obtain the desired antenna properties, we optimize these dimensions, guaranteeing effective wireless connection and signal transmission.

How to Calculate Height of Equilateral Triangular Patch?

Height of Equilateral Triangular Patch calculator uses Height of Equilateral Triangular Patch = sqrt(Side Length of Equilateral Triangular Patch^2-(Side Length of Equilateral Triangular Patch/2)^2) to calculate the Height of Equilateral Triangular Patch, The Height of Equilateral Triangular Patch microstrip is the distance between its base (the longest side) and centroid (center of mass). Height of Equilateral Triangular Patch is denoted by H symbol.

How to calculate Height of Equilateral Triangular Patch using this online calculator? To use this online calculator for Height of Equilateral Triangular Patch, enter Side Length of Equilateral Triangular Patch (S_tng) and hit the calculate button. Here is how the Height of Equilateral Triangular Patch calculation can be explained with given input values -> 34405.11 = sqrt(0.0397276^2-(0.0397276/2)^2).

FAQ

What is Height of Equilateral Triangular Patch?

The Height of Equilateral Triangular Patch microstrip is the distance between its base (the longest side) and centroid (center of mass) and is represented as H = sqrt(S_tng^2-(S_tng/2)^2) or Height of Equilateral Triangular Patch = sqrt(Side Length of Equilateral Triangular Patch^2-(Side Length of Equilateral Triangular Patch/2)^2). 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.

How to calculate Height of Equilateral Triangular Patch?

The Height of Equilateral Triangular Patch microstrip is the distance between its base (the longest side) and centroid (center of mass) is calculated using Height of Equilateral Triangular Patch = sqrt(Side Length of Equilateral Triangular Patch^2-(Side Length of Equilateral Triangular Patch/2)^2). To calculate Height of Equilateral Triangular Patch, you need Side Length of Equilateral Triangular Patch (S_tng). With our tool, you need to enter the respective value for Side Length of Equilateral Triangular Patch 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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