Radiation Resistance Of Small Loop Calculator

Radiation Resistance Of Small Loop Formula:

\[ R_{small} = \frac{31200 \times A^2}{\lambda_a^4} \]

Radiation Resistance of Small Loop:

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1. What is 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. It represents the power radiated by the antenna as electromagnetic waves.

2. How Does the Calculator Work?

The calculator uses the Radiation Resistance formula:

\[ R_{small} = \frac{31200 \times A^2}{\lambda_a^4} \]

Where:

\( R_{small} \) — Radiation Resistance of Small Loop (Ω)
\( A \) — Area of Small Circular Loop (m²)
\( \lambda_a \) — Wavelength in Loop Antenna (m)

Explanation: The formula calculates the radiation resistance based on the area of the loop and the wavelength of the operating frequency. The radiation resistance increases with the square of the loop area and decreases with the fourth power of the wavelength.

3. Importance of Radiation Resistance Calculation

Details: Accurate radiation resistance calculation is crucial for antenna design, impedance matching, and efficient power transfer in radio frequency systems. It helps determine how much power is actually radiated versus being dissipated as heat.

4. Using the Calculator

Tips: Enter the area of the small circular loop in square meters and the wavelength in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is considered a "small loop" antenna?
A: A loop antenna is considered "small" when its circumference is less than approximately one-tenth of the wavelength (C < λ/10).

Q2: Why does radiation resistance decrease with frequency?
A: Radiation resistance decreases with the fourth power of wavelength (inverse fourth power of frequency), making small loop antennas less efficient at lower frequencies.

Q3: What are typical radiation resistance values for small loops?
A: Radiation resistance values for small loops are typically very low (fractions of an ohm to a few ohms), which presents challenges for efficient impedance matching.

Q4: How can radiation resistance be increased?
A: Radiation resistance can be increased by using multiple turns, increasing the loop area, or operating at higher frequencies.

Q5: What other factors affect loop antenna performance?
A: Other factors include conductor losses, proximity effects, and the quality of components used in the matching network.