Quality Factor of Loop Antenna Calculator

✖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).ⓘ Inductive Reactance [X_L]			+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 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 Quality factor is defined as the quotient between the power stored in the reactive field and the radiated power.ⓘ Quality Factor of Loop Antenna [Q]

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Quality Factor of Loop Antenna Solution

STEP 0: Pre-Calculation Summary

Formula Used

Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop))
Q = X_L/(2*(R_L+R_small))
This formula uses 4 Variables

Variables Used

Quality Factor - The Quality factor is defined as the quotient between the power stored in the reactive field and the radiated power.
Inductive Reactance - (Measured in Ohm) - 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).
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.
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.

STEP 1: Convert Input(s) to Base Unit

Inductive Reactance: 0.33 Ohm --> 0.33 Ohm No Conversion Required
Loss Resistance: 0.45 Ohm --> 0.45 Ohm No Conversion Required
Radiation Resistance of Small Loop: 0.0118 Ohm --> 0.0118 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = X_L/(2*(R_L+R_small)) --> 0.33/(2*(0.45+0.0118))

Evaluating ... ...

Q = 0.357297531398874

STEP 3: Convert Result to Output's Unit

0.357297531398874 --> No Conversion Required

FINAL ANSWER

0.357297531398874 ≈ 0.357298 <-- Quality Factor

(Calculation completed in 00.004 seconds)

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< Loop Antennas Calculators

Isotropic Radiation Intensity for Loop Antenna

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

Radiation Resistance of Small Loop

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

Radiation Resistance of Large Loop

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

Size of Small Loop

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

Quality Factor of Loop Antenna Formula

LaTeX Go

Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop))
Q = X_L/(2*(R_L+R_small))

What is the Significance of Quality Factor in small loop?

A good resonant circuit, like a well constructed small loop antenna, will have a reasonably high Q. The high Q will give a "boost" at the received target frequency. This results in quiet reception because signals and noise outside of the selected frequency do not get augmented. But a high Q comes at the price of a narrow bandwidth. Some means of tuning becomes a necessity.

What are the Effects of Q factor?

If the Q becomes too high the bandwidth can become so narrow as to be unuseable (less than a few kilo-hertz).A high Q also means that the resonant circuit will generate very high voltages across the tuning capacitor. Even relatively low power levels (less than 100 watts) can and will produce voltages in the thousands. Higher power levels will produce high currents and voltages in the tens of thousands.

How to Calculate Quality Factor of Loop Antenna?

Quality Factor of Loop Antenna calculator uses Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop)) to calculate 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 calculate Quality Factor of Loop Antenna using this online calculator? To use this online calculator 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. Here is how the Quality Factor of Loop Antenna calculation can be explained with given input values -> 0.357298 = 0.33/(2*(0.45+0.0118)).

FAQ

What is Quality Factor of Loop Antenna?

The Quality Factor of loop antenna formula is defined as the quotient between the power stored in the reactive field and the radiated power and is represented as Q = X_L/(2*(R_L+R_small)) or Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop)). 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), 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 & 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.

How to calculate Quality Factor of Loop Antenna?

The Quality Factor of loop antenna formula is defined as the quotient between the power stored in the reactive field and the radiated power is calculated using Quality Factor = Inductive Reactance/(2*(Loss Resistance+Radiation Resistance of Small Loop)). To calculate Quality Factor of Loop Antenna, you need Inductive Reactance (X_L), Loss Resistance (R_L) & Radiation Resistance of Small Loop (R_small). With our tool, you need to enter the respective value for Inductive Reactance, Loss Resistance & Radiation Resistance of Small Loop 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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