Length of Ground Plate Calculator

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Special Antennas

Antenna Theory Parameters

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✖The thickness of the Substrate refers to the thickness of the dielectric substrate on which the microstrip antenna is fabricated.ⓘ Thickness of the Substrate [h]			+10% -10%
✖Actual Length of Microstrip Patch refers to the physical dimension of the rectangular patch that serves as the radiating element of the antenna.ⓘ Actual Length of Microstrip Patch [L_p]			+10% -10%

✖The Length of Ground Plate in a microstrip antenna is an important design parameter that affects the antenna's performance.ⓘ Length of Ground Plate [L_gnd]

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Formula

✖

Length of Ground Plate

Formula

`"L"_{"gnd"} = 6*"h"+"L"_{"p"}`

Example

`"38.85mm"=6*"1.57mm"+"29.43mm"`

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Length of Ground Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Ground Plate = 6*Thickness of the Substrate+Actual Length of Microstrip Patch
L_gnd = 6*h+L_p
This formula uses 3 Variables

Variables Used

Length of Ground Plate - (Measured in Meter) - The Length of Ground Plate in a microstrip antenna is an important design parameter that affects the antenna's performance.
Thickness of the Substrate - (Measured in Meter) - The thickness of the Substrate refers to the thickness of the dielectric substrate on which the microstrip antenna is fabricated.
Actual Length of Microstrip Patch - (Measured in Meter) - Actual Length of Microstrip Patch refers to the physical dimension of the rectangular patch that serves as the radiating element of the antenna.

STEP 1: Convert Input(s) to Base Unit

Thickness of the Substrate: 1.57 Millimeter --> 0.00157 Meter (Check conversion here)
Actual Length of Microstrip Patch: 29.43 Millimeter --> 0.02943 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_gnd = 6*h+L_p --> 6*0.00157+0.02943

Evaluating ... ...

L_gnd = 0.03885

STEP 3: Convert Result to Output's Unit

0.03885 Meter -->38.85 Millimeter (Check conversion here)

FINAL ANSWER

38.85 Millimeter <-- Length of Ground Plate

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electronics » Antenna & Wave Propogation » Special Antennas » Microstrip Antenna » Length of Ground Plate

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Created by Souradeep Dey

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

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Verified by Parminder Singh

Chandigarh University (CU), Punjab

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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

Length of Ground Plate Formula

Length of Ground Plate = 6*Thickness of the Substrate+Actual Length of Microstrip Patch
L_gnd = 6*h+L_p

What is the significance of the length of ground plate ?

A microstrip antenna's ground plane length is an important component that has a big impact on how well the antenna works. The ground plane affects the resonance and radiation characteristics of the antenna by acting as a reflecting surface for electromagnetic waves that are radiated. It is standard procedure to keep the ground plane length of microstrip patch antennas at half the wavelength of the operating frequency. Proper phase relationships are ensured by this relationship, which promotes resonance and ideal radiation patterns. The antenna's impedance matching is mostly determined by the ground plane length, which has a direct effect on power transfer efficiency.

How to Calculate Length of Ground Plate?

Length of Ground Plate calculator uses Length of Ground Plate = 6*Thickness of the Substrate+Actual Length of Microstrip Patch to calculate the Length of Ground Plate, The Length of Ground Plate is the dimension of the plate. The ground plane in a microstrip antenna serves as a reflector for the radiated electromagnetic waves from the microstrip patch, and its dimensions are closely related to the operating frequency of the antenna. Length of Ground Plate is denoted by L_gnd symbol.

How to calculate Length of Ground Plate using this online calculator? To use this online calculator for Length of Ground Plate, enter Thickness of the Substrate (h) & Actual Length of Microstrip Patch (L_p) and hit the calculate button. Here is how the Length of Ground Plate calculation can be explained with given input values -> 38850 = 6*0.00157+0.02943.

FAQ

What is Length of Ground Plate?

The Length of Ground Plate is the dimension of the plate. The ground plane in a microstrip antenna serves as a reflector for the radiated electromagnetic waves from the microstrip patch, and its dimensions are closely related to the operating frequency of the antenna and is represented as L_gnd = 6*h+L_p or Length of Ground Plate = 6*Thickness of the Substrate+Actual Length of Microstrip Patch. The thickness of the Substrate refers to the thickness of the dielectric substrate on which the microstrip antenna is fabricated & Actual Length of Microstrip Patch refers to the physical dimension of the rectangular patch that serves as the radiating element of the antenna.

How to calculate Length of Ground Plate?

The Length of Ground Plate is the dimension of the plate. The ground plane in a microstrip antenna serves as a reflector for the radiated electromagnetic waves from the microstrip patch, and its dimensions are closely related to the operating frequency of the antenna is calculated using Length of Ground Plate = 6*Thickness of the Substrate+Actual Length of Microstrip Patch. To calculate Length of Ground Plate, you need Thickness of the Substrate (h) & Actual Length of Microstrip Patch (L_p). With our tool, you need to enter the respective value for Thickness of the Substrate & Actual Length of Microstrip 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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