Radiation Resistance of Infinitesimal Dipole Calculator

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Special Antennas

Antenna Theory Parameters

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✖The Length of Infinitesimal Dipole is defined for a dipole whose length l less than of equals to wavelength λ/50.ⓘ Length of Infinitesimal Dipole [l_isd]			+10% -10%
✖Wavelength of Dipole defines the separation in cycles between two identical points (adjacent crests) in a waveform signal that is propagated.ⓘ Wavelength of Dipole [λ_isd]			+10% -10%

✖The Radiation Resistance of Infinitesimal Dipole represents the effective resistance that an antenna presents to the flow of power in the form of electromagnetic radiation.ⓘ Radiation Resistance of Infinitesimal Dipole [R_isd]

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Formula

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Radiation Resistance of Infinitesimal Dipole

Formula

`"R"_{"isd"} = 80*pi^2*("l"_{"isd"}/"λ"_{"isd"})^2`

Example

`"0.315936Ω"=80*pi^2*("0.0024987m"/"0.12491352m")^2`

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Radiation Resistance of Infinitesimal Dipole Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2
R_isd = 80*pi^2*(l_isd/λ_isd)^2
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radiation Resistance of Infinitesimal Dipole - (Measured in Ohm) - The Radiation Resistance of Infinitesimal Dipole represents the effective resistance that an antenna presents to the flow of power in the form of electromagnetic radiation.
Length of Infinitesimal Dipole - (Measured in Meter) - The Length of Infinitesimal Dipole is defined for a dipole whose length l less than of equals to wavelength λ/50.
Wavelength of Dipole - (Measured in Meter) - Wavelength of Dipole defines the separation in cycles between two identical points (adjacent crests) in a waveform signal that is propagated.

STEP 1: Convert Input(s) to Base Unit

Length of Infinitesimal Dipole: 0.0024987 Meter --> 0.0024987 Meter No Conversion Required
Wavelength of Dipole: 0.12491352 Meter --> 0.12491352 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_isd = 80*pi^2*(l_isd/λ_isd)^2 --> 80*pi^2*(0.0024987/0.12491352)^2

Evaluating ... ...

R_isd = 0.315935968861089

STEP 3: Convert Result to Output's Unit

0.315935968861089 Ohm --> No Conversion Required

FINAL ANSWER

0.315935968861089 ≈ 0.315936 Ohm <-- Radiation Resistance of Infinitesimal Dipole

(Calculation completed in 00.004 seconds)

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Created by Souradeep Dey

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

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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

Radiation Resistance of Infinitesimal Dipole Formula

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

Why is radiation resistance important in antenna design?

Radiation resistance becomes critical when dealing with infinitesimal dipole antennas since their physical dimensions are small compared to the transmitted signal's wavelength. Effective radiation resistance control is critical to these antennas' ability to transform electrical energy into electromagnetic waves that are radiated. Achieving effective power transfer requires optimum radiation resistance, which affects the antenna's overall performance. The radiation resistance of tiny dipole antennas is carefully manipulated by engineers for use in radio communication applications where signal quality and strength are critical. In addition to having an effect on the antenna's efficiency, this strategic control is essential for limiting interference and forming radiation patterns.

How to Calculate Radiation Resistance of Infinitesimal Dipole?

Radiation Resistance of Infinitesimal Dipole calculator uses Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2 to calculate the Radiation Resistance of Infinitesimal Dipole, The Radiation Resistance of Infinitesimal Dipole formula describes the effective resistance of a small dipole in radiating energy, assuming the dipole length is much smaller than the wavelength. Radiation Resistance of Infinitesimal Dipole is denoted by R_isd symbol.

How to calculate Radiation Resistance of Infinitesimal Dipole using this online calculator? To use this online calculator for Radiation Resistance of Infinitesimal Dipole, enter Length of Infinitesimal Dipole (l_isd) & Wavelength of Dipole (λ_isd) and hit the calculate button. Here is how the Radiation Resistance of Infinitesimal Dipole calculation can be explained with given input values -> 0.315936 = 80*pi^2*(0.0024987/0.12491352)^2.

FAQ

What is Radiation Resistance of Infinitesimal Dipole?

The Radiation Resistance of Infinitesimal Dipole formula describes the effective resistance of a small dipole in radiating energy, assuming the dipole length is much smaller than the wavelength and is represented as R_isd = 80*pi^2*(l_isd/λ_isd)^2 or Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2. The Length of Infinitesimal Dipole is defined for a dipole whose length l less than of equals to wavelength λ/50 & Wavelength of Dipole defines the separation in cycles between two identical points (adjacent crests) in a waveform signal that is propagated.

How to calculate Radiation Resistance of Infinitesimal Dipole?

The Radiation Resistance of Infinitesimal Dipole formula describes the effective resistance of a small dipole in radiating energy, assuming the dipole length is much smaller than the wavelength is calculated using Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2. To calculate Radiation Resistance of Infinitesimal Dipole, you need Length of Infinitesimal Dipole (l_isd) & Wavelength of Dipole (λ_isd). With our tool, you need to enter the respective value for Length of Infinitesimal Dipole & Wavelength of Dipole 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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