Radiation Resistance Of Infinitesimal Dipole Calculator

Radiation Resistance of Infinitesimal Dipole Formula:

\[ R_{isd} = 80 \times \pi^2 \times \left( \frac{L_{isd}}{\lambda_{isd}} \right)^2 \]

Radiation Resistance of Infinitesimal Dipole:

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1. What is Radiation Resistance of Infinitesimal Dipole?

The Radiation Resistance of Infinitesimal Dipole represents the effective resistance that an antenna presents to the flow of power in the form of electromagnetic radiation. It is a crucial parameter in antenna design and electromagnetic theory.

2. How Does the Calculator Work?

The calculator uses the Radiation Resistance formula:

\[ R_{isd} = 80 \times \pi^2 \times \left( \frac{L_{isd}}{\lambda_{isd}} \right)^2 \]

Where:

\( R_{isd} \) — Radiation Resistance of Infinitesimal Dipole (Ω)
\( L_{isd} \) — Length of Infinitesimal Dipole (m)
\( \lambda_{isd} \) — Wavelength of Dipole (m)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the radiation resistance based on the ratio of the dipole length to the wavelength, scaled by the constant factor 80π².

3. Importance of Radiation Resistance Calculation

Details: Accurate radiation resistance calculation is essential for antenna design, impedance matching, and optimizing power transfer in wireless communication systems.

4. Using the Calculator

Tips: Enter the length of infinitesimal dipole and wavelength in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is an infinitesimal dipole?
A: An infinitesimal dipole is defined as a dipole whose length is less than or equal to λ/50, where λ is the wavelength.

Q2: Why is radiation resistance important?
A: Radiation resistance determines how efficiently an antenna converts electrical power into electromagnetic radiation and vice versa.

Q3: What are typical values for radiation resistance?
A: For infinitesimal dipoles, radiation resistance values are typically very small (fractions of an ohm) due to the small electrical size of the antenna.

Q4: How does wavelength affect radiation resistance?
A: Radiation resistance increases with the square of the ratio (length/wavelength), meaning shorter wavelengths relative to dipole length result in higher radiation resistance.

Q5: Are there limitations to this formula?
A: This formula is specifically valid for infinitesimal dipoles (l ≤ λ/50) and may not accurately represent radiation resistance for larger dipole antennas.