Power Radiated by Half-Wave Dipole Calculator

Power Radiated by Half-wave Dipole Formula:

\[ P_{rad} = \frac{0.609 \times \eta \times I_o^2}{\pi} \times \sin^2\left(\left(\omega t - \frac{\pi}{L} \times r\right) \times \frac{\pi}{180}\right) \]

Intrinsic Impedance of Medium (η):

Ohm

Amplitude of Oscillating Current (I₀):

Ampere

Angular Frequency (ω):

rad/s

Time (t):

Second

Length of Antenna (L):

Meter

Radial Distance from Antenna (r):

Meter

Power Radiated by Half-wave Dipole (Pₐᵣ):

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1. What is Power Radiated by Half-wave Dipole?

The Power Radiated by Half-wave Dipole refers to the amount of electromagnetic energy that the antenna emits into space in the form of radio waves. It is a fundamental parameter in antenna theory and electromagnetic wave propagation.

2. How Does the Calculator Work?

The calculator uses the Half-wave Dipole radiation formula:

\[ P_{rad} = \frac{0.609 \times \eta \times I_o^2}{\pi} \times \sin^2\left(\left(\omega t - \frac{\pi}{L} \times r\right) \times \frac{\pi}{180}\right) \]

Where:

\( P_{rad} \) — Power Radiated by Half-wave Dipole (Watt)
\( \eta \) — Intrinsic Impedance of Medium (Ohm)
\( I_o \) — Amplitude of Oscillating Current (Ampere)
\( \omega \) — Angular Frequency of Half Wave Dipole (rad/s)
\( t \) — Time (Second)
\( L \) — Length of Antenna (Meter)
\( r \) — Radial Distance from Antenna (Meter)

Explanation: The equation calculates the power radiated by a half-wave dipole antenna based on its physical characteristics and the medium through which waves propagate.

3. Importance of Power Radiation Calculation

Details: Accurate power radiation calculation is crucial for antenna design, electromagnetic compatibility analysis, wireless communication system optimization, and understanding electromagnetic wave propagation characteristics.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Ensure all values are positive and within reasonable physical limits for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is a half-wave dipole antenna?
A: A half-wave dipole is a fundamental antenna type consisting of two conductive elements with a total length equal to half the wavelength of the operating frequency.

Q2: What is intrinsic impedance of medium?
A: Intrinsic impedance refers to the characteristic impedance of a material through which electromagnetic waves propagate, typically 377Ω for free space.

Q3: How does angular frequency affect radiation?
A: Higher angular frequencies generally result in shorter wavelengths and different radiation patterns, affecting the overall power radiation characteristics.

Q4: What factors influence power radiation?
A: Current amplitude, antenna length, operating frequency, and the properties of the surrounding medium all influence the power radiated by a dipole antenna.

Q5: Are there limitations to this formula?
A: This formula provides an idealized calculation and may not account for all real-world factors such as antenna losses, nearby objects, or complex environmental conditions.