Efficiency Factor of Loop Antenna Calculator

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Special Antennas

Antenna Theory Parameters

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✖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]			+10% -10%
✖The Loss resistance is the ohmic resistance of the huge ground system and loading coil, the efficiency of a more than 80% of the transmitter power is lost in the ground resistance.ⓘ Loss Resistance [R_L]			+10% -10%

✖The Efficiency factor is the ratio of radiated power and input power accepted by antenna.ⓘ Efficiency Factor of Loop Antenna [K]

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Formula

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Efficiency Factor of Loop Antenna

Formula

`"K" = "R"_{"small"}/("R"_{"small"}+"R"_{"L"})`

Example

`"0.025552"="0.0118Ω"/("0.0118Ω"+"0.45Ω")`

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Efficiency Factor of Loop Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance)
K = R_small/(R_small+R_L)
This formula uses 3 Variables

Variables Used

Efficiency Factor - The Efficiency factor is the ratio of radiated power and input power accepted by antenna.
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.
Loss Resistance - (Measured in Ohm) - The Loss resistance is the ohmic resistance of the huge ground system and loading coil, the efficiency of a more than 80% of the transmitter power is lost in the ground resistance.

STEP 1: Convert Input(s) to Base Unit

Radiation Resistance of Small Loop: 0.0118 Ohm --> 0.0118 Ohm No Conversion Required
Loss Resistance: 0.45 Ohm --> 0.45 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = R_small/(R_small+R_L) --> 0.0118/(0.0118+0.45)

Evaluating ... ...

K = 0.0255521870939801

STEP 3: Convert Result to Output's Unit

0.0255521870939801 --> No Conversion Required

FINAL ANSWER

0.0255521870939801 ≈ 0.025552 <-- Efficiency Factor

(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

Efficiency Factor of Loop Antenna Formula

Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance)
K = R_small/(R_small+R_L)

What is efficiency Factor from the efficiency point of view?

They are directly linked with radiation resistance and loss resistance. The larger the radiation resistance, the larger the efficiency.

What is efficiency Factor from the Circuit point of view?

We need radiation resistance to match with the characteristic impedance of the line and loss resistance to be zero if possible.

How to Calculate Efficiency Factor of Loop Antenna?

Efficiency Factor of Loop Antenna calculator uses Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance) to calculate the Efficiency Factor, Efficiency Factor of Loop Antenna formula is defined as a measure of how well a radio antenna converts the radio-frequency power accepted at its terminals into radiated power. Likewise, in a receiving antenna it describes the proportion of the radio wave's power intercepted by the antenna which is actually delivered as an electrical signal. Efficiency Factor is denoted by K symbol.

How to calculate Efficiency Factor of Loop Antenna using this online calculator? To use this online calculator for Efficiency Factor of Loop Antenna, enter Radiation Resistance of Small Loop (R_small) & Loss Resistance (R_L) and hit the calculate button. Here is how the Efficiency Factor of Loop Antenna calculation can be explained with given input values -> 0.025552 = 0.0118/(0.0118+0.45).

FAQ

What is Efficiency Factor of Loop Antenna?

Efficiency Factor of Loop Antenna formula is defined as a measure of how well a radio antenna converts the radio-frequency power accepted at its terminals into radiated power. Likewise, in a receiving antenna it describes the proportion of the radio wave's power intercepted by the antenna which is actually delivered as an electrical signal and is represented as K = R_small/(R_small+R_L) or Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance). 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 & The Loss resistance is the ohmic resistance of the huge ground system and loading coil, the efficiency of a more than 80% of the transmitter power is lost in the ground resistance.

How to calculate Efficiency Factor of Loop Antenna?

Efficiency Factor of Loop Antenna formula is defined as a measure of how well a radio antenna converts the radio-frequency power accepted at its terminals into radiated power. Likewise, in a receiving antenna it describes the proportion of the radio wave's power intercepted by the antenna which is actually delivered as an electrical signal is calculated using Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance). To calculate Efficiency Factor of Loop Antenna, you need Radiation Resistance of Small Loop (R_small) & Loss Resistance (R_L). With our tool, you need to enter the respective value for Radiation Resistance of Small Loop & Loss Resistance 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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