Chapter 20: Problem 2688
An antenna can transmit
Short Answer
Expert verified
An antenna can transmit radiation with more efficiency at high frequency (option B) as it allows for smaller antenna size, leading to more efficient transmission.
Step by step solution
01
Understanding the basic concepts
We need to know that frequency (f) and wavelength (λ) are inversely related to each other as given by the equation , where c is the speed of light. It means that greater the frequency, shorter the wavelength, and vice versa.
02
Comparing frequencies
An antenna can transmit radiation with more efficiency when its size is comparable to the wavelength of the radiation being transmitted.
For low-frequency radiation, the wavelength is longer. It would require a larger antenna size to transmit this radiation efficiently. As a result, low-frequency antennas are less efficient due to their bigger size requirement for efficient transmission.
On the other hand, high-frequency radiation has shorter wavelength, making it possible to have smaller antenna size, which can efficiently transmit the radiation.
Thus, the efficiency of an antenna depends on the frequency of the radiation being transmitted.
03
Comparing wavelength
From the explanation of frequencies, we can infer that the efficiency of an antenna is inversely related to the wavelength, i.e., longer wavelength leads to less efficient antenna and shorter wavelength leads to more efficient antenna.
04
Final conclusion
Based on the analysis of the relationship between frequency, wavelength, and antenna size, we can conclude that an antenna can transmit radiation with more efficiency at high frequency (option B).
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Frequency and Wavelength Relationship
Understanding the relationship between frequency and wavelength is crucial in the field of antenna efficiency. These two properties are interconnected through the speed of light, represented by the equation . Here, represents the speed of light, is the frequency, and is the wavelength. This equation tells us that as the frequency of a wave increases, its wavelength decreases, and vice versa.
This inverse relationship has practical implications. For instance, when dealing with high-frequency waves, the wavelengths are shorter. This means that devices designed to transmit or receive these waves, such as antennas, do not need to be very large. In contrast, low-frequency waves have longer wavelengths and necessitate larger antennas, challenging their efficiency.
To summarize, understanding this relationship helps in designing efficient antennas by considering the appropriate frequency and corresponding wavelength.
This inverse relationship has practical implications. For instance, when dealing with high-frequency waves, the wavelengths are shorter. This means that devices designed to transmit or receive these waves, such as antennas, do not need to be very large. In contrast, low-frequency waves have longer wavelengths and necessitate larger antennas, challenging their efficiency.
To summarize, understanding this relationship helps in designing efficient antennas by considering the appropriate frequency and corresponding wavelength.
High Frequency Transmission
High-frequency transmission plays an essential role in the efficiency and size of antennas. As previously detailed, high frequencies correlate with shorter wavelengths. This characteristic makes high frequencies particularly advantageous for efficient data transmission.
Some of the benefits of high-frequency transmission include:
In essence, embracing high-frequency transmission leads to practical advantages and contributes to the overall efficiency and functionality of modern communication systems.
Some of the benefits of high-frequency transmission include:
- Smaller antenna size due to short wavelengths.
- Higher data rates, allowing for faster communication.
- Reduced interference, as antennas can be finely tuned to specific frequencies.
In essence, embracing high-frequency transmission leads to practical advantages and contributes to the overall efficiency and functionality of modern communication systems.
Antenna Size and Efficiency
Antenna efficiency is closely tied to the size of the antenna relative to the wavelength of the signal it is designed to transmit or receive. The principle here is simple: the size of the antenna should be proportionate to the wavelength for optimal performance.
Important considerations for antenna size and efficiency include:
Important considerations for antenna size and efficiency include:
- Smaller antennas are more efficient for shorter wavelengths (high frequencies), leading to more compact and portable designs.
- Larger antennas are necessary for longer wavelengths (low frequencies), which can be cumbersome and expensive to construct and maintain.
- Proper sizing and tuning of the antenna minimizes energy loss and maximizes the strength of the signal being transmitted or received.