Radiation Resistance of Small Loop Calculator

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⤿

Special Antennas

Antenna Theory Parameters

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✖The Area of Small Circular Loop is the area of the circular wire around the small loop antenna.ⓘ Area of Small Circular Loop [A]			+10% -10%
✖Wavelength in Loop Antenna is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength in Loop Antenna [λ_a]			+10% -10%

✖The Radiation resistance of small loop is that part of an antenna's feed point electrical resistance that is caused by the emission of radio waves from the antenna.ⓘ Radiation Resistance of Small Loop [R_small]

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Formula

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Radiation Resistance of Small Loop

Formula

`"R"_{"small"} = 31200*"A"^2/"λ"_{"a"}^4`

Example

`"0.011883Ω"=31200*("5m²")^2/("90.011m")^4`

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Radiation Resistance of Small Loop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Resistance of Small Loop = 31200*Area of Small Circular Loop^2/Wavelength in Loop Antenna^4
R_small = 31200*A^2/λ_a^4
This formula uses 3 Variables

Variables Used

Radiation Resistance of Small Loop - (Measured in Ohm) - The Radiation resistance of small loop is that part of an antenna's feed point electrical resistance that is caused by the emission of radio waves from the antenna.
Area of Small Circular Loop - (Measured in Square Meter) - The Area of Small Circular Loop is the area of the circular wire around the small loop antenna.
Wavelength in Loop Antenna - (Measured in Meter) - Wavelength in Loop Antenna is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

STEP 1: Convert Input(s) to Base Unit

Area of Small Circular Loop: 5 Square Meter --> 5 Square Meter No Conversion Required
Wavelength in Loop Antenna: 90.011 Meter --> 90.011 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_small = 31200*A^2/λ_a^4 --> 31200*5^2/90.011^4

Evaluating ... ...

R_small = 0.0118826212948744

STEP 3: Convert Result to Output's Unit

0.0118826212948744 Ohm --> No Conversion Required

FINAL ANSWER

0.0118826212948744 ≈ 0.011883 Ohm <-- Radiation Resistance of Small Loop

(Calculation completed in 00.006 seconds)

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< 8 Loop Antennas Calculators

Efficiency Factor of Loop Antenna

Go Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance)

Quality Factor of Loop Antenna

Go Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop))

Isotropic Radiation Intensity for Loop Antenna

Go Isotropic Radiation Intensity of Loop Antenna = Radiation Intensity in Loop Antenna/Loop Antenna Gain

Radiation Resistance of Small Loop

Go Radiation Resistance of Small Loop = 31200*Area of Small Circular Loop^2/Wavelength in Loop Antenna^4

Radiation Resistance of Large Loop

Go Radiation Resistance of Large Loop = 3720*Area of Large Circular Loop/Wavelength in Loop Antenna

Terminal Resistance of Loop Antenna

Go Terminal Resistance of Loop Antenna = Loss Resistance+Radiation Resistance of Small Loop

Directivity of Large Loop

Go Directivity of Large Loop = 4.25*Area of Large Circular Loop/Wavelength in Loop Antenna

Size of Small Loop

Go Size of Small Loop = Wavelength in Loop Antenna/10

Radiation Resistance of Small Loop Formula

Radiation Resistance of Small Loop = 31200*Area of Small Circular Loop^2/Wavelength in Loop Antenna^4
R_small = 31200*A^2/λ_a^4

What is the significance of Radiation resistance?

Radiation resistance is that part of an antenna's feedpoint electrical resistance that is caused by the emission of radio waves from the antenna. In radio transmission, a radio transmitter is connected to an antenna. The transmitter generates a radio frequency alternating current which is applied to the antenna, and the antenna radiates the energy in the alternating current as radio waves. Because the antenna is absorbing the energy it is radiating from the transmitter, the antenna's input terminals present a resistance to the current from the transmitter.

What are the causes of radiation resistance?

Electromagnetic waves are radiated by electric charges when they are accelerated.The recoil force is in a direction opposite to the electric field in the antenna accelerating the electron, reducing the average velocity of the electrons for a given driving voltage, so it acts as a resistance opposing the current.

How to Calculate Radiation Resistance of Small Loop?

Radiation Resistance of Small Loop calculator uses Radiation Resistance of Small Loop = 31200*Area of Small Circular Loop^2/Wavelength in Loop Antenna^4 to calculate the Radiation Resistance of Small Loop, The Radiation resistance of small loop formula is defined as is that part of an antenna's feed point electrical resistance that is caused by the emission of radio waves from the antenna. Radiation Resistance of Small Loop is denoted by R_small symbol.

How to calculate Radiation Resistance of Small Loop using this online calculator? To use this online calculator for Radiation Resistance of Small Loop, enter Area of Small Circular Loop (A) & Wavelength in Loop Antenna (λ_a) and hit the calculate button. Here is how the Radiation Resistance of Small Loop calculation can be explained with given input values -> 0.011883 = 31200*5^2/90.011^4.

FAQ

What is Radiation Resistance of Small Loop?

The Radiation resistance of small loop formula is defined as is that part of an antenna's feed point electrical resistance that is caused by the emission of radio waves from the antenna and is represented as R_small = 31200*A^2/λ_a^4 or Radiation Resistance of Small Loop = 31200*Area of Small Circular Loop^2/Wavelength in Loop Antenna^4. The Area of Small Circular Loop is the area of the circular wire around the small loop antenna & Wavelength in Loop Antenna is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

How to calculate Radiation Resistance of Small Loop?

The Radiation resistance of small loop formula is defined as is that part of an antenna's feed point electrical resistance that is caused by the emission of radio waves from the antenna is calculated using Radiation Resistance of Small Loop = 31200*Area of Small Circular Loop^2/Wavelength in Loop Antenna^4. To calculate Radiation Resistance of Small Loop, you need Area of Small Circular Loop (A) & Wavelength in Loop Antenna (λ_a). With our tool, you need to enter the respective value for Area of Small Circular Loop & Wavelength in Loop Antenna 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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