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Quality Factor of Loop Antenna Formula

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The Quality factor is defined as the quotient between the power stored in the reactive field and the radiated power. Check FAQs

Q = \frac{X L}{2 \cdot (R L + R small)}

Q - Quality Factor?X_L - Inductive Reactance?R_L - Loss Resistance?R_small - Radiation Resistance of Small Loop?

Quality Factor of Loop Antenna Example

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

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

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

0.3573 = \frac{0.33}{2 \cdot (0.45 + 0.0118)}

0.3573 = \frac{0.33Ω}{2 \cdot (0.45Ω + 0.0118Ω)}

0.3573 = \frac{0.33}{2 \cdot (0.45 + 0.0118)}

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Quality Factor of Loop Antenna Solution

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

FIRST Step Consider the formula

Q = \frac{X L}{2 \cdot (R L + R small)}

Next Step Substitute values of Variables

∴

Q = \frac{0.33Ω}{2 \cdot (0.45Ω + 0.0118Ω)}

Next Step Prepare to Evaluate

∴

Q = \frac{0.33}{2 \cdot (0.45 + 0.0118)}

Next Step Evaluate

∴

Q = 0.357297531398874

LAST Step Rounding Answer

∴

Q = 0.3573

Quality Factor of Loop Antenna Formula Elements

Variables

Quality Factor

The Quality factor is defined as the quotient between the power stored in the reactive field and the radiated power.

Symbol: Q

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Quality Factor

Inductive Reactance

The Inductive reactance is defined as inductive reactance is the opposition offered by the inductor in an AC circuit to the flow of ac current. It is represented by (XL) and measured in ohms (Ω).

Symbol: X_L

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Inductive Reactance

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

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

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 Quality Factor of Loop Antenna?

Quality Factor of Loop Antenna evaluator uses Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop)) to evaluate the Quality Factor, The Quality Factor of loop antenna formula is defined as the quotient between the power stored in the reactive field and the radiated power. Quality Factor is denoted by Q symbol.

How to evaluate Quality Factor of Loop Antenna using this online evaluator? To use this online evaluator for Quality Factor of Loop Antenna, enter Inductive Reactance (X_L), Loss Resistance (R_L) & Radiation Resistance of Small Loop (R_small) and hit the calculate button.

FAQs on Quality Factor of Loop Antenna

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

The formula of Quality Factor of Loop Antenna is expressed as Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop)). Here is an example- 0.357298 = 0.33/(2*(0.45+0.0118)).

How to calculate Quality Factor of Loop Antenna?

With Inductive Reactance (X_L), Loss Resistance (R_L) & Radiation Resistance of Small Loop (R_small) we can find Quality Factor of Loop Antenna using the formula - Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop)).

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Quality Factor of Loop Antenna Formula

Quality Factor of Loop Antenna Example

Quality Factor of Loop Antenna Solution

Quality Factor of Loop Antenna Formula Elements

Other formulas in Loop Antennas category

How to Evaluate Quality Factor of Loop Antenna?

FAQs on Quality Factor of Loop Antenna

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