Radiation Resistance of Large Loop Calculator

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Special Antennas

Antenna Theory Parameters

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✖The Area of large circular loop is the area covered by the large circular loop.ⓘ Area of Large 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 large loop is an effective resistance, due to the power carried away from the antenna as radio waves.ⓘ Radiation Resistance of Large Loop [R_large]

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Formula

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Radiation Resistance of Large Loop

Formula

`"R"_{"large"} = 3720*"a"/"λ"_{"a"}`

Example

`"330.6263Ω"=3720*"8m²"/"90.011m"`

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Radiation Resistance of Large Loop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radiation Resistance of Large Loop = 3720*Area of Large Circular Loop/Wavelength in Loop Antenna
R_large = 3720*a/λ_a
This formula uses 3 Variables

Variables Used

Radiation Resistance of Large Loop - (Measured in Ohm) - The Radiation resistance of large loop is an effective resistance, due to the power carried away from the antenna as radio waves.
Area of Large Circular Loop - (Measured in Square Meter) - The Area of large circular loop is the area covered by the large circular loop.
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 Large Circular Loop: 8 Square Meter --> 8 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_large = 3720*a/λ_a --> 3720*8/90.011

Evaluating ... ...

R_large = 330.626256790837

STEP 3: Convert Result to Output's Unit

330.626256790837 Ohm --> No Conversion Required

FINAL ANSWER

330.626256790837 ≈ 330.6263 Ohm <-- Radiation Resistance of Large Loop

(Calculation completed in 00.004 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 Large Loop Formula

Radiation Resistance of Large Loop = 3720*Area of Large Circular Loop/Wavelength in Loop Antenna
R_large = 3720*a/λ_a

What is the significance of Radiation resistance?

Antennas are classified as large loop when the circumference is almost equal to the wavelength.The is conventionally defined as the value of loss resistance that would dissipate the same amount of power as heat, as is dissipated by the radio waves emitted from the antenna, when fed at a minimum-voltage / maximum-current point ("voltage node").

What kind of antennas are considered large loop?

Large loop antennas are also called as resonant antennas. They have high radiation efficiency. These antennas have length nearly equal to the intended wavelength.

How to Calculate Radiation Resistance of Large Loop?

Radiation Resistance of Large Loop calculator uses Radiation Resistance of Large Loop = 3720*Area of Large Circular Loop/Wavelength in Loop Antenna to calculate the Radiation Resistance of Large Loop, The Radiation resistance of large loop formula is defined as an effective resistance, due to the power carried away from the antenna as radio waves.Unlike conventional resistance or "Ohmic resistance", radiation resistance is not due to the opposition to current (resistivity) of the imperfect conducting materials the antenna is made of. Radiation Resistance of Large Loop is denoted by R_large symbol.

How to calculate Radiation Resistance of Large Loop using this online calculator? To use this online calculator for Radiation Resistance of Large Loop, enter Area of Large Circular Loop (a) & Wavelength in Loop Antenna (λ_a) and hit the calculate button. Here is how the Radiation Resistance of Large Loop calculation can be explained with given input values -> 330.6299 = 3720*8/90.011.

FAQ

What is Radiation Resistance of Large Loop?

The Radiation resistance of large loop formula is defined as an effective resistance, due to the power carried away from the antenna as radio waves.Unlike conventional resistance or "Ohmic resistance", radiation resistance is not due to the opposition to current (resistivity) of the imperfect conducting materials the antenna is made of and is represented as R_large = 3720*a/λ_a or Radiation Resistance of Large Loop = 3720*Area of Large Circular Loop/Wavelength in Loop Antenna. The Area of large circular loop is the area covered by the large circular loop & 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 Large Loop?

The Radiation resistance of large loop formula is defined as an effective resistance, due to the power carried away from the antenna as radio waves.Unlike conventional resistance or "Ohmic resistance", radiation resistance is not due to the opposition to current (resistivity) of the imperfect conducting materials the antenna is made of is calculated using Radiation Resistance of Large Loop = 3720*Area of Large Circular Loop/Wavelength in Loop Antenna. To calculate Radiation Resistance of Large Loop, you need Area of Large Circular Loop (a) & Wavelength in Loop Antenna (λ_a). With our tool, you need to enter the respective value for Area of Large 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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