A Lossless transmission line of length 50cm with L = 10microH/m, C=40pF/m is operated at 30MHz,its electrical length isSelect one:a. 0.2λb. 1.88c. 40πd. 108o
Question
A Lossless transmission line of length 50cm with L = 10microH/m, C=40pF/m is operated at 30MHz, its electrical length is
Select one:
- a. 0.2λ
- b. 1.88
- c. 40π
- d. 108°
Solution
To find the electrical length of the transmission line, we need to calculate the wavelength at the operating frequency of 30MHz.
The formula to calculate the wavelength is given by:
λ = c / f
Where: λ is the wavelength c is the speed of light (approximately 3 x 10^8 meters per second) f is the frequency
Substituting the values, we have:
λ = (3 x 10^8 m/s) / (30 x 10^6 Hz) λ = 10 meters
Since the transmission line has a length of 50cm (0.5 meters), we can find the electrical length by dividing the physical length by the wavelength:
Electrical length = 0.5 meters / 10 meters Electrical length = 0.05
Therefore, the electrical length of the transmission line is 0.05.
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