Amateur ExtraE9F06
What is the approximate physical length of an air-insulated, parallel conductor transmission line that is electrically 1/2 wavelength long at 14.10 MHz?
C
Answer
Antennas and transmission lines
Type
A
7.0 meters
B
8.5 meters
C
10.6 meters
D
13.3 meters
Answer Notes
To find the physical length, you must first determine the free-space wavelength of a 14.10 MHz signal. Using the formula Wavelength = 300 / Frequency (MHz), we get 300 / 14.10 = 21.27 meters for a full wavelength.
The question asks for an electrically 1/2 wavelength long section, so you divide 21.27 meters by 2, yielding 10.63 meters.
Next, consider the velocity factor of the transmission line. Since the line is 'air-insulated', its velocity factor is effectively 1.0 (or extremely close to it), meaning the radio waves travel along the line at the speed of light in a vacuum. Therefore, no further reduction in physical length is needed, making 10.6 meters the correct approximation.
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How does parallel conductor transmission line compare to coaxial cable with a plastic dielectric?