This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
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15 km to 15 Mm
To calculate the range of wavelengths, we use the formula , where is the speed of light ( m/s) and is the frequency. The given frequency range for baseband audio is 20 Hz to 20 kHz.
Step 1: Calculate the wavelength for the minimum frequency (20 Hz) The minimum frequency is Hz.
Step 2: Calculate the wavelength for the maximum frequency (20 kHz) The maximum frequency is .
Step 3: State the range of wavelengths The range of wavelengths corresponding to the baseband audio frequency range (20 Hz - 20 kHz) is from 15 km to 15 Mm.
Step 4: Comment on the implications for antenna size Antennas are typically designed to be a significant fraction of the wavelength (e.g., , ). For the calculated wavelengths: • A wavelength of 15 km would require an antenna on the order of kilometers long. • A wavelength of 15 Mm (15,000 km) would require an antenna on the order of thousands of kilometers long.
These dimensions are impractically large for any terrestrial antenna. This is why baseband audio frequencies are not directly transmitted as RF signals. Instead, they are used to modulate a much higher frequency carrier wave, which has a significantly smaller wavelength, making antenna design feasible.
The range of wavelengths is . The implication is that antennas for direct transmission of these wavelengths would be extremely large and impractical.
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To calculate the range of wavelengths, we use the formula = (c)/(f), where c is the speed of light (3 × 10^8 m/s) and f is the frequency.
This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.