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Radiation Resistance of Infinitesimal Dipole Formula

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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. Check FAQs

R isd = 80 \cdot π^{2} \cdot {(\frac{l isd}{λ isd})}^{2}

R_isd - Radiation Resistance of Infinitesimal Dipole?l_isd - Length of Infinitesimal Dipole?λ_isd - Wavelength of Dipole?π - Archimedes' constant?

Radiation Resistance of Infinitesimal Dipole Example

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Here is how the Radiation Resistance of Infinitesimal Dipole equation looks like with Values.

Here is how the Radiation Resistance of Infinitesimal Dipole equation looks like with Units.

Here is how the Radiation Resistance of Infinitesimal Dipole equation looks like.

0.3159 = 80 \cdot {3.1416}^{2} \cdot {(\frac{0.0025}{0.1249})}^{2}

0.3159Ω = 80 \cdot {3.1416}^{2} \cdot {(\frac{0.0025m}{0.1249m})}^{2}

0.3159 = 80 \cdot {3.1416}^{2} \cdot {(\frac{0.0025}{0.1249})}^{2}

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Radiation Resistance of Infinitesimal Dipole Solution

Follow our step by step solution on how to calculate Radiation Resistance of Infinitesimal Dipole?

FIRST Step Consider the formula

R isd = 80 \cdot π^{2} \cdot {(\frac{l isd}{λ isd})}^{2}

Next Step Substitute values of Variables

∴

R isd = 80 \cdot π^{2} \cdot {(\frac{0.0025m}{0.1249m})}^{2}

Next Step Substitute values of Constants

∴

R isd = 80 \cdot {3.1416}^{2} \cdot {(\frac{0.0025m}{0.1249m})}^{2}

Next Step Prepare to Evaluate

∴

R isd = 80 \cdot {3.1416}^{2} \cdot {(\frac{0.0025}{0.1249})}^{2}

Next Step Evaluate

∴

R isd = 0.315935968861089Ω

LAST Step Rounding Answer

∴

R isd = 0.3159Ω

Radiation Resistance of Infinitesimal Dipole Formula Elements

Variables

Constants

Radiation Resistance of Infinitesimal Dipole

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.

Symbol: R_isd

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Radiation Resistance of Infinitesimal Dipole

Length of Infinitesimal Dipole

The Length of Infinitesimal Dipole is defined for a dipole whose length l less than of equals to wavelength λ/50.

Symbol: l_isd

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Infinitesimal Dipole

Wavelength of Dipole

Wavelength of Dipole defines the separation in cycles between two identical points (adjacent crests) in a waveform signal that is propagated.

Symbol: λ_isd

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wavelength of Dipole

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Radiation Resistance of Infinitesimal Dipole?

Radiation Resistance of Infinitesimal Dipole evaluator uses Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2 to evaluate 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 evaluate Radiation Resistance of Infinitesimal Dipole using this online evaluator? To use this online evaluator for Radiation Resistance of Infinitesimal Dipole, enter Length of Infinitesimal Dipole (l_isd) & Wavelength of Dipole (λ_isd) and hit the calculate button.

FAQs on Radiation Resistance of Infinitesimal Dipole

What is the formula to find Radiation Resistance of Infinitesimal Dipole?

The formula of Radiation Resistance of Infinitesimal Dipole is expressed as Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2. Here is an example- 0.315936 = 80*pi^2*(0.0024987/0.12491352)^2.

How to calculate Radiation Resistance of Infinitesimal Dipole?

With Length of Infinitesimal Dipole (l_isd) & Wavelength of Dipole (λ_isd) we can find Radiation Resistance of Infinitesimal Dipole using the formula - Radiation Resistance of Infinitesimal Dipole = 80*pi^2*(Length of Infinitesimal Dipole/Wavelength of Dipole)^2. This formula also uses Archimedes' constant .

Can the Radiation Resistance of Infinitesimal Dipole be negative?

No, the Radiation Resistance of Infinitesimal Dipole, measured in Electric Resistance cannot be negative.

Which unit is used to measure Radiation Resistance of Infinitesimal Dipole?

Radiation Resistance of Infinitesimal Dipole is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Radiation Resistance of Infinitesimal Dipole can be measured.

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Radiation Resistance of Infinitesimal Dipole Formula

Radiation Resistance of Infinitesimal Dipole Example

Radiation Resistance of Infinitesimal Dipole Solution

Radiation Resistance of Infinitesimal Dipole Formula Elements

Other formulas in Microstrip Antenna category

How to Evaluate Radiation Resistance of Infinitesimal Dipole?

FAQs on Radiation Resistance of Infinitesimal Dipole

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