Time Average Radiated Power of Half-Wave Dipole Calculator

Time Average Radiated Power Formula:

\[ P_{avg} = \frac{(I_o)^2}{2} \times \frac{0.609 \times \eta}{\pi} \]

Time Average Radiated Power (P_avg):

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1. What is Time Average Radiated Power?

Time Average Radiated Power refers to the average power dissipated by an antenna as electromagnetic waves propagate into space over a specified time interval. For a half-wave dipole antenna, this represents the average power radiated into free space.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{avg} = \frac{(I_o)^2}{2} \times \frac{0.609 \times \eta}{\pi} \]

Where:

\( P_{avg} \) — Time Average Radiated Power (W)
\( I_o \) — Amplitude of Oscillating Current (A)
\( \eta \) — Intrinsic Impedance of Medium (Ω)
\( \pi \) — Archimedes' constant (approximately 3.14159)

Explanation: The formula calculates the average power radiated by a half-wave dipole antenna based on the current amplitude and the intrinsic impedance of the propagation medium.

3. Importance of Time Average Radiated Power Calculation

Details: Accurate calculation of radiated power is crucial for antenna design, electromagnetic compatibility analysis, and ensuring compliance with regulatory standards for radio frequency emissions.

4. Using the Calculator

Tips: Enter the amplitude of oscillating current in amperes and the intrinsic impedance of the medium in ohms. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical value of intrinsic impedance for free space?
A: The intrinsic impedance of free space is approximately 377 ohms (120π ohms).

Q2: How does current amplitude affect radiated power?
A: Radiated power is proportional to the square of the current amplitude, meaning doubling the current quadruples the radiated power.

Q3: What is the significance of the 0.609 factor?
A: The 0.609 factor comes from the radiation resistance calculation for a half-wave dipole antenna in free space.

Q4: Can this formula be used for other antenna types?
A: This specific formula is derived for half-wave dipole antennas. Other antenna types have different radiation characteristics and formulas.

Q5: How does the medium affect radiated power?
A: The intrinsic impedance of the medium directly affects the radiated power. Different media (air, water, etc.) have different intrinsic impedances.