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Efficiency Factor of Loop Antenna Formula

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The Efficiency factor is the ratio of radiated power and input power accepted by antenna. Check FAQs

K = \frac{R small}{R small + R L}

K - Efficiency Factor?R_small - Radiation Resistance of Small Loop?R_L - Loss Resistance?

Efficiency Factor of Loop Antenna Example

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Here is how the Efficiency Factor of Loop Antenna equation looks like with Values.

Here is how the Efficiency Factor of Loop Antenna equation looks like with Units.

Here is how the Efficiency Factor of Loop Antenna equation looks like.

0.0256 = \frac{0.0118}{0.0118 + 0.45}

0.0256 = \frac{0.0118Ω}{0.0118Ω + 0.45Ω}

0.0256 = \frac{0.0118}{0.0118 + 0.45}

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Efficiency Factor of Loop Antenna Solution

Follow our step by step solution on how to calculate Efficiency Factor of Loop Antenna?

FIRST Step Consider the formula

K = \frac{R small}{R small + R L}

Next Step Substitute values of Variables

∴

K = \frac{0.0118Ω}{0.0118Ω + 0.45Ω}

Next Step Prepare to Evaluate

∴

K = \frac{0.0118}{0.0118 + 0.45}

Next Step Evaluate

∴

K = 0.0255521870939801

LAST Step Rounding Answer

∴

K = 0.0256

Efficiency Factor of Loop Antenna Formula Elements

Variables

Efficiency Factor

The Efficiency factor is the ratio of radiated power and input power accepted by antenna.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Efficiency Factor

Radiation Resistance of Small Loop

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.

Symbol: R_small

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Radiation Resistance of Small Loop

Loss Resistance

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.

Symbol: R_L

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Loss Resistance

Other formulas in Loop Antennas category

Go Isotropic Radiation Intensity for Loop Antenna

U ir = \frac{U r}{A g}

Go Size of Small Loop

L = \frac{λ a}{10}

Go Radiation Resistance of Small Loop

R small = 31200 \cdot \frac{A^{2}}{{λ a}^{4}}

Go Radiation Resistance of Large Loop

R large = 3720 \cdot \frac{a}{λ a}

How to Evaluate Efficiency Factor of Loop Antenna?

Efficiency Factor of Loop Antenna evaluator uses Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance) to evaluate 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 evaluate Efficiency Factor of Loop Antenna using this online evaluator? To use this online evaluator for Efficiency Factor of Loop Antenna, enter Radiation Resistance of Small Loop (R_small) & Loss Resistance (R_L) and hit the calculate button.

FAQs on Efficiency Factor of Loop Antenna

What is the formula to find Efficiency Factor of Loop Antenna?

The formula of Efficiency Factor of Loop Antenna is expressed as Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance). Here is an example- 0.025552 = 0.0118/(0.0118+0.45).

How to calculate Efficiency Factor of Loop Antenna?

With Radiation Resistance of Small Loop (R_small) & Loss Resistance (R_L) we can find Efficiency Factor of Loop Antenna using the formula - Efficiency Factor = Radiation Resistance of Small Loop/(Radiation Resistance of Small Loop+Loss Resistance).

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