A dipole antenna is operated at its 3 rd
harmonic, at a frequency of 21.0 MHz .
How long is the antenna?
[?] m
Hint: A dipole antenna radiates waves
that travel at the speed of light.

Ask by Clark Garrett. in the United States

Mar 29,2025

Question

A dipole antenna is operated at its 3 rd
harmonic, at a frequency of 21.0 MHz .
How long is the antenna?
[?] m
Hint: A dipole antenna radiates waves
that travel at the speed of light.

Ask by Clark Garrett. in the United States

Mar 29,2025

UpStudy AI · Accepted Answer

To find the length of the dipole antenna, we can use the formula for the wavelength of a wave, which is given by:

$$ \lambda = \frac{c}{f} $$

where:
- $$ \lambda $$ is the wavelength of the wave,
- $$ c $$ is the speed of light (approximately $$ 3.00 \times 10^{8} \, \text{m/s} $$),
- $$ f $$ is the frequency of the wave.

Given that the dipole antenna is operated at its 3rd harmonic, the frequency is 21.0 MHz.

First, let's calculate the wavelength of the wave at the 3rd harmonic frequency:

$$ \lambda = \frac{c}{f} = \frac{3.00 \times 10^{8} \, \text{m/s}}{21.0 \times 10^{6} \, \text{Hz}} $$

$$ \lambda = \frac{3.00 \times 10^{8}}{21.0 \times 10^{6}} $$

$$ \lambda = 14.2857 \, \text{m} $$

Since the dipole antenna radiates waves that travel at the speed of light, the length of the antenna is equal to half the wavelength of the wave.

Therefore, the length of the dipole antenna is:

$$ \text{Length of antenna} = \frac{\lambda}{2} = \frac{14.2857}{2} $$

$$ \text{Length of antenna} = 7.1429 \, \text{m} $$

So, the length of the dipole antenna is approximately 7.14 meters.
The dipole antenna is approximately 7.14 meters long.

A dipole antenna is operated at its 3 rd
harmonic, at a frequency of 21.0 MHz .
How long is the antenna?
[?] m
Hint: A dipole antenna radiates waves
that travel at the speed of light.

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A dipole antenna is operated at its 3 rd harmonic, at a frequency of 21.0 MHz . How long is the antenna? [?] m Hint: A dipole antenna radiates waves that travel at the speed of light.

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preguntas relacionadas

Latest Physics Questions

A dipole antenna is operated at its 3 rd
harmonic, at a frequency of 21.0 MHz .
How long is the antenna?
[?] m
Hint: A dipole antenna radiates waves
that travel at the speed of light.