Actual Length of Microstrip Patch Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Special Antennas

Antenna Theory Parameters

⤿

✖The Effective Length of Microstrip Patch takes into account the physical length and the influence of the dielectric substrate on the propagation of electromagnetic waves.ⓘ Effective Length of Microstrip Patch [L_eff]			+10% -10%
✖Length Extension of Microstrip Patch refers to a modification or adjustment made to the physical length of the patch.ⓘ Length Extension of Microstrip Patch [ΔL]			+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]

⎘ Copy

👎

Formula

✖

Actual Length of Microstrip Patch

Formula

`"L"_{"p"} = "L"_{"eff"}-2*"ΔL"`

Example

`"29.45397mm"="30.90426103mm"-2*"0.7251475831mm"`

Calculator

LaTeX

Reset

👍

Download Special Antennas Formulas PDF PDF Image

Actual Length of Microstrip Patch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Length of Microstrip Patch = Effective Length of Microstrip Patch-2*Length Extension of Microstrip Patch
L_p = L_eff-2*ΔL
This formula uses 3 Variables

Variables Used

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.
Effective Length of Microstrip Patch - (Measured in Meter) - The Effective Length of Microstrip Patch takes into account the physical length and the influence of the dielectric substrate on the propagation of electromagnetic waves.
Length Extension of Microstrip Patch - (Measured in Meter) - Length Extension of Microstrip Patch refers to a modification or adjustment made to the physical length of the patch.

STEP 1: Convert Input(s) to Base Unit

Effective Length of Microstrip Patch: 30.90426103 Millimeter --> 0.03090426103 Meter (Check conversion here)
Length Extension of Microstrip Patch: 0.7251475831 Millimeter --> 0.0007251475831 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = L_eff-2*ΔL --> 0.03090426103-2*0.0007251475831

Evaluating ... ...

L_p = 0.0294539658638

STEP 3: Convert Result to Output's Unit

0.0294539658638 Meter -->29.4539658638 Millimeter (Check conversion here)

FINAL ANSWER

29.4539658638 ≈ 29.45397 Millimeter <-- Actual Length of Microstrip Patch

(Calculation completed in 00.020 seconds)

You are here -

Home » Engineering » Electronics » Antenna & Wave Propogation » Special Antennas » Microstrip Antenna » Actual Length of Microstrip Patch

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 Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Calculator and 600+ more calculators!

< 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

Actual Length of Microstrip Patch Formula

Actual Length of Microstrip Patch = Effective Length of Microstrip Patch-2*Length Extension of Microstrip Patch
L_p = L_eff-2*ΔL

Meaning of actual length of microstrip patch antenna?

The physical dimensions of the rectangular patch that functions as the antenna's radiating element are referred to as the microstrip patch antenna's actual length. When designing and characterizing microstrip antennas, this length is a crucial factor.
The actual length of a microstrip antenna is usually chosen by taking into account the speed of electromagnetic waves and the desired resonance frequency.

How to Calculate Actual Length of Microstrip Patch?

Actual Length of Microstrip Patch calculator uses Actual Length of Microstrip Patch = Effective Length of Microstrip Patch-2*Length Extension of Microstrip Patch to calculate the Actual Length of Microstrip Patch, The Actual Length of Microstrip Patch formula is the physical length of the microstrip patch. Actual Length of Microstrip Patch is denoted by L_p symbol.

How to calculate Actual Length of Microstrip Patch using this online calculator? To use this online calculator for Actual Length of Microstrip Patch, enter Effective Length of Microstrip Patch (L_eff) & Length Extension of Microstrip Patch (ΔL) and hit the calculate button. Here is how the Actual Length of Microstrip Patch calculation can be explained with given input values -> 29453.97 = 0.03090426103-2*0.0007251475831.

FAQ

What is Actual Length of Microstrip Patch?

The Actual Length of Microstrip Patch formula is the physical length of the microstrip patch and is represented as L_p = L_eff-2*ΔL or Actual Length of Microstrip Patch = Effective Length of Microstrip Patch-2*Length Extension of Microstrip Patch. The Effective Length of Microstrip Patch takes into account the physical length and the influence of the dielectric substrate on the propagation of electromagnetic waves & Length Extension of Microstrip Patch refers to a modification or adjustment made to the physical length of the patch.

How to calculate Actual Length of Microstrip Patch?

The Actual Length of Microstrip Patch formula is the physical length of the microstrip patch is calculated using Actual Length of Microstrip Patch = Effective Length of Microstrip Patch-2*Length Extension of Microstrip Patch. To calculate Actual Length of Microstrip Patch, you need Effective Length of Microstrip Patch (L_eff) & Length Extension of Microstrip Patch (ΔL). With our tool, you need to enter the respective value for Effective Length of Microstrip Patch & Length Extension of Microstrip Patch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search