What is the length of each side of a resonant dipole to receive 12MHz?

In summary, a resonant dipole can be constructed to receive a frequency of 12MHz with a length of 12.5m, divided into two quarter-wave elements of 6.25m each. This is because a half-wave dipole needs to have a length of λ/2 to match the period of the wave, and half of that is λ/4.
  • #1
amgc63
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TL;DR Summary
I don’t understand why require to divide twice
Hi, a question:

Construct a resonant dipole to receive 12MHz.

Answer;

λ = c/f
= (3x10^8) / (12 x10^6)
= 25m
The dipole length λ/2 = 12.5m
The length of each side dipole is 12.5m/2 = 6.25m

Im confused, isn’t it the answer is 12.5m?
Why require to divide 12.5m/2 again to get the answer 6.25m?
Hope someone can explain.

Thanks in advance
 
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  • #2
A half-wave dipole antenna is made up of two quarter-wave elements. A quarter-wave monopole antenna has one quarter-wave element over a ground plane...

1650297254798.png

https://www.antenna-theory.com/antennas/halfwave.php
 
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  • #3
A resonant half-wave dipole has a length of λ/2 because the transit return time of the wave, there and back, must be equal to the period of the wave. Half of a resonant half-wave dipole will be λ/4.
 
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1. What is a resonant dipole calculation?

A resonant dipole calculation is a scientific method used to determine the natural frequency of an object or system. It involves analyzing the physical characteristics of the object or system and using mathematical equations to calculate its resonant frequency.

2. Why is resonant dipole calculation important?

Resonant dipole calculation is important because it allows scientists to understand the natural frequency of an object or system. This information can be used to design and optimize various technologies, such as antennas, sensors, and musical instruments.

3. How is a resonant dipole calculation performed?

A resonant dipole calculation is typically performed using mathematical equations, such as the dipole moment equation or the resonance frequency equation. These equations take into account the physical characteristics of the object or system, such as its size, shape, and material properties, to determine its resonant frequency.

4. What factors can affect the accuracy of a resonant dipole calculation?

The accuracy of a resonant dipole calculation can be affected by various factors, such as the complexity of the object or system, the precision of the measurements, and the accuracy of the mathematical equations used. Additionally, environmental factors, such as temperature and humidity, can also impact the resonant frequency of an object or system.

5. What are some real-world applications of resonant dipole calculation?

Resonant dipole calculation has a wide range of applications in various fields, including engineering, physics, and biology. Some examples include designing and optimizing antennas for wireless communication, determining the resonant frequency of molecules in chemical reactions, and studying the resonant frequencies of biological structures, such as proteins and DNA.

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